Pavel B. Bochev

Computing Research

Author profile picture

Computing Research

pbboche@sandia.gov

Personal webpage

(505) 844-1990

Sandia National Laboratories, New Mexico
P.O. Box 5800
Albuquerque, NM 87185-1320

Biography

Pavel is a Senior Scientist at Sandia National Laboratories in Albuquerque where he works in the Center for Computing Research. He joined Sandia in 2000 after six years of teaching and research at the University of Texas at Arlington.

Pavel’s research interests include compatible discretizations for partial differential equations, meshfree methods, optimization and control problems, and the development of new, property preserving heterogeneous numerical methods for complex applications relevant to the mission of the US Department of Energy and the National Nuclear Security Administration.

Pavel’s thesis was awarded the SIAM Student paper prize in 1994. In 2012 he was elected a Fellow of the Society for Industrial and Applied Mathematics. Pavel is a recipient of 2014 US Department of Energy’s E. O. Lawrence Medal in the category of “Computer, information and knowledge sciences”. This award honors U.S. scientists and engineers, at mid-career, for exceptional contributions in research and development supporting the Department of Energy and its mission to advance the national, economic and energy security of the United States. In 2017 Pavel was awarded the Thomas J.R. Hughes Medal by the U.S. Association for Computational Mechanics for his contributions to the field of numerical partial differential equations.

Pavel has authored and co-authored over 100 research papers, two books and several book chapters, and has given numerous plenary and invited lectures in the US and abroad. He served two terms as Editor-in-Chief of the SIAM Journal on Numerical Analysis (SINUM) and is currently member of the editorial board of SINUM and Results in Applied Mathematics (RINAM)

Education

Pavel earned his Magister of Mathematics degree from the University of Sofia, Bulgaria in 1987 and his PhD in Mathematics in 1994 from Virginia Tech. His interest in the national labs and their work stems from summer internships at LANL during 1993 and 1994.

Publications

Paul Allen Kuberry, Biliana Stefanova Paskaleva, Ting Mei, Eric R. Keiter, Pavel B. Bochev, Thomas E. Buchheit, Matthew R. Glickman, (2022). Python Data-Driven Model Integration for the Xyce Circuit Simulator 2022 Sandia Machine Learning and Deep Learning Workshop Document ID: 1563145

Amy Grace de Castro, Paul Allen Kuberry, Irina Kalashnikova Tezaur, Pavel B. Bochev, (2022). Formulation of Partitioned Schemes with Non-Standard Computational Models World Congress on Computational Mathematics Document ID: 1563069

Pavel B. Bochev, Irina Kalashnikova Tezaur, Paul Allen Kuberry, Omar Ghattas, Karen Willcox, (2022). Mathematics, algorithms, and software for predictive digital twins (DT) in CFD 22nd Computational Fluids Conference Document ID: 1562783

Vijay Mahadevan, Jorge Guerra, Xiangmin Jiao, Paul Allen Kuberry, Yipeng Li, Paul Ullrich, David Marsico, Robert Jacob, Pavel B. Bochev, Phillip Jones, (2022). Metrics for Intercomparison of Remapping Algorithms (MIRA) applied to Earth System Models Geoscientific Model Development https://www.osti.gov/search/identifier:1877121 Document ID: 1551467

Amy Grace de Castro, Paul Allen Kuberry, Irina Kalashnikova Tezaur, Pavel B. Bochev, (2022). A Novel Partitioned Approach for Reduced Order Model – Finite Element Model (ROM-FEM) and ROM-ROM Coupling Earth and Space 2022 Proceedings Document ID: 1540756

Paul Allen Kuberry, Biliana Stefanova Paskaleva, Ting Mei, Eric R. Keiter, Pavel B. Bochev, Thomas E. Buchheit, Matthew R. Glickman, (2022). Python Data-Driven Model Integration for the Xyce Circuit Simulator 2022 Tri-lab Advanced Simulation & Computing Sustainable Scientific Software Conference Document ID: 1539295

Kenneth Chadwick Sockwell, Pavel B. Bochev, Biliana Stefanova Paskaleva, (2022). A Compact Delayed Photocurrent Model Based on a Reduced Order Data-Driven Exponential Time Integrator Earth and Space 2022 Document ID: 1505966

Kenneth Chadwick Sockwell, Paul Allen Kuberry, Kara J. Peterson, Pavel B. Bochev, (2022). Interface Flux Recovery Framework for Constructing Partitioned Heterogeneous Time-Integration Methods Iterative Methods 2022 (Virtual) Document ID: 1494338

Paul Allen Kuberry, Kenneth Chadwick Sockwell, Christopher Eldred, Mauro Perego, Pavel B. Bochev, Kara J. Peterson, (2022). Meshless Remap of Native Fields for Earth System Models via Generalized Moving Least Squares 17th Copper Mountain Conference On Iterative Methods (Virtual) Document ID: 1494353

Amy Grace de Castro, Paul Allen Kuberry, Irina Kalashnikova Tezaur, Pavel B. Bochev, (2022). A Lagrange Multiplier Partitioned Scheme for Coupling Reduced Order Models Copper Mountain Conference on Iterative Methods (Virtual) Document ID: 1493091

Joshua McKinley Hanson, Andy Huang, Edgar Galvan, Kenneth Chadwick Sockwell, Biliana Stefanova Paskaleva, Charles E. Hembree, Pavel B. Bochev, (2022). Data-Driven Approximation of the Koopman Operator to support the Design of Electrical Systems, Data-Driven Model Integration for the Xyce Circuit Simulator, A nonlinear numerical transient compact photocurrent model and two more 2022 SIAM Conference on Mathematics of Data Science Document ID: 1493401

Biliana Stefanova Paskaleva, Kenneth Chadwick Sockwell, Pavel B. Bochev, (2022). Development of Compact Circuit Models using Generalized Hammerstein-Wiener Models 2022 SIAM Conference on Mathematics of Data Science Document ID: 1493474

Michael James Gaiewski, Kenneth Chadwick Sockwell, Pavel B. Bochev, Jeffrey Connors, (2022). Air-Sea Light: Coupling Atmosphere and Ocean models through the Bulk Condition 17th Copper Mountain Conference On Iterative Methods (Virtual) Document ID: 1482399

Michael James Gaiewski, Kenneth Chadwick Sockwell, Pavel B. Bochev, Connors Jeffrey, (2022). Air-Sea Light Sandia Virtual Winter Intern Symposium Document ID: 1427613

Paul Allen Kuberry, Mauro Perego, Nathaniel Albert Trask, Pavel B. Bochev, (2021). Remapping native fields for climate applications 15th World Congress on Computational Mechanics (WCCM-XV) Document ID: 1392901

Amy Grace de Castro, Paul Allen Kuberry, Irina Kalashnikova Tezaur, Pavel B. Bochev, (2021). Partitioned schemes with non-standard computational models. Part 1: Formulation. 15th World Congress on Computational Mechanics (WCCM-XV) Document ID: 1392820

Amy Grace de Castro, Paul Allen Kuberry, Irina Kalashnikova Tezaur, Pavel B. Bochev, (2021). Partitioned schemes with non-standard computational models. Part 2: Analysis 15th World Congress on Computational Mechanics Document ID: 1392822

Kenneth Chadwick Sockwell, Paul Allen Kuberry, James Derek Tucker, Pavel B. Bochev, (2021). Automated Discovery of DOminaNt physics Informed Surrogates (ADDONIS) Framework Artificial intelligence for Earth System Predicition Document ID: 1380856

Marta D’Elia, Pavel B. Bochev, Mauro Perego, Jeremy Trageser, David John Littlewood, (2021). An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions https://www.osti.gov/search/identifier:1825041 Document ID: 1369193

Charles E. Hembree, Joshua McKinley Hanson, Biliana Stefanova Paskaleva, Pavel B. Bochev, Eric R. Keiter, Alan Mar, Ting Mei, (2021). Semiconductor Device Models Constructed Using Simple Elements and Auxiliary Dynamics Mechanistic Machine Learning and Digital Twins for Computational Science, Engineering & Technology Document ID: 1357392

Paul Allen Kuberry, Ting Mei, Eric R. Keiter, Biliana Stefanova Paskaleva, Pavel B. Bochev, Joshua McKinley Hanson, (2021). Xyce Python Model Interpreter (Xyce-PyMi) for enabling ML advancements in production circuit simulation software Mechanistic Machine Learning and Digital Twins for Computational Science, Engineering & Technology Document ID: 1368512

Pavel B. Bochev, Joshua McKinley Hanson, Biliana Stefanova Paskaleva, Charles E. Hembree, Eric R. Keiter, Kenneth Chadwick Sockwell, (2021). Hybrid analytic-numerical compact models for radiation-induced photocurrents. 18th Earth and Space Conference Document ID: 1356867

Amy Grace de Castro, Paul Allen Kuberry, Pavel B. Bochev, (2021). Partitioned ROM-FEM model coupling for transmission problems Summer Intern Program Poster Blitz Document ID: 1331754

Joshua McKinley Hanson, Biliana Stefanova Paskaleva, Pavel B. Bochev, Eric R. Keiter, Charles E. Hembree, Paul Allen Kuberry, (2021). A Numerical Compact Photocurrent Model and its Implementation via Xyce-PyMi Machine Learning and Deep Learning Conference (MLDL 2021) https://www.osti.gov/search/identifier:1876997 Document ID: 1331657

Marcelino Anguiano, Paul Allen Kuberry, Pavel B. Bochev, Arif Masud, (2021). Synchronous And Concurrent Multidomain Computing Method For Cloud Computing Platforms SIAM Journal on Scientific Computing https://www.osti.gov/search/identifier:1810359 Document ID: 1330509

Kenneth Chadwick Sockwell, Pavel B. Bochev, Kara J. Peterson, Paul Allen Kuberry, (2021). The Interface-Flux-Recovery (IFR) Methodfor Conservative and Stable Coupling Schemesin Geophysical Fluids and Mechanics Coupled Problems https://www.osti.gov/search/identifier:1877832 Document ID: 1318970

Pavel B. Bochev, (2021). A hybrid analytic-numerical compact model for radiation-induced photocurrent effects event to celebrate Jackie Chen?s selection as a 2020 DOE/SC Distinguished Scientist Fellow Document ID: 1307476

Paul Allen Kuberry, Eric R. Keiter, Ting Mei, Pavel B. Bochev, Biliana Stefanova Paskaleva, (2021). Enabling Python physics-aware machine learned device models in Xyce Mmldt-cset 2021 Document ID: 1292829

Pavel B. Bochev, Joshua McKinley Hanson, Biliana Stefanova Paskaleva, Eric R. Keiter, Charles E. Hembree, (2021). A hybrid analytic-numerical compact model for radiation induced photocurrent effects Mechanistic Machine Learning and Digital Twins for Computational Science, Engineering & Technology Document ID: 1292207

Paul Allen Kuberry, Kara J. Peterson, Pavel B. Bochev, (2021). Generalized Moving Least Squares (GMLS) with Clip and Assured Sum (CAAS) Post-processing for Earth System Remap Siam Cse 2021 https://www.osti.gov/search/identifier:1854070 Document ID: 1280194

Kenneth Chadwick Sockwell, Kara J. Peterson, Pavel B. Bochev, Paul Allen Kuberry, (2020). Bulk-Interface-Flux-Recovery (Bulk-IFR) Methodfor Coupling the Atmosphere-Ocean Interface WCCM-ECCOMAS CONGRESS (virtual) https://www.osti.gov/search/identifier:1832721 Document ID: 1232518

Paul Allen Kuberry, Nathaniel Albert Trask, Jacob Koester, Pavel B. Bochev, (2020). Regression Based Approach for Robust Finite Element Analysis on Arbitrary Grids (REBAR) International Mechanical Engineering Congress & Exposition (IMECE) 2020 https://www.osti.gov/search/identifier:1822641 Document ID: 1207911

Paul Allen Kuberry, Pavel B. Bochev, Jacob Koester, Nathaniel Albert Trask, (2020). Regression Based Approach for Robust Finite Element Analysis on Arbitrary Grids: LDRD Final Report https://www.osti.gov/search/identifier:1669732 Document ID: 1196977

Marta D’Elia, Pavel B. Bochev, Max Donald Gunzburger, Giacomo Capodaglio, Manuel Klar, Christian Vollman, (2020). A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions https://www.osti.gov/search/identifier:1656938 Document ID: 1184673

Marta D’Elia, Pavel B. Bochev, Max Donald Gunzburger, Giacomo Capodaglio, Manuel Klar, Christian Vollman, (2020). A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions https://www.osti.gov/search/identifier:1656937 Document ID: 1184692

Joshua McKinley Hanson, Pavel B. Bochev, Biliana Stefanova Paskaleva, (2020). Learning Compact Physics-Aware Photocurrent Models Using Dynamic Mode Decomposition SEERI End of Summer Presentations https://www.osti.gov/search/identifier:1813918 Document ID: 1183599

Paul Allen Kuberry, Nathaniel Albert Trask, Jacob Koester, Pavel B. Bochev, (2020). Regression Based Approach for Robust Finite Element Analysis on Arbitrary Grids IMECE International Mechanical Engineering Congress & Exposition Document ID: 1183562

Karthik Venkatraman Aadithya, Paul Allen Kuberry, Biliana Stefanova Paskaleva, Pavel B. Bochev, Kenneth Michael Leeson, Alan Mar, Ting Mei, Eric R. Keiter, (2020). Data-Driven Compact Models for Circuit Design and Analysis MSMLMathematical and Scientific Machine Learning Workshop https://www.osti.gov/search/identifier:1810271 Document ID: 1172622

Pavel B. Bochev, (2020). Data driven photocurrent models PhILMS webinar https://www.osti.gov/search/identifier:1804988 Document ID: 1150862

Pavel B. Bochev, (2020). Model Inpainting: Construction of Property- Preserving Flexible Heterogenous Numerical Methods (Micro-Num) ASCR Program review Document ID: 1127895

Marta D’Elia, Pavel B. Bochev, Max Donald Gunzburger, Giacomo Capodaglio, (2020). An energy-based coupling approach to nonlocal interface problems https://www.osti.gov/search/identifier:1618813 Document ID: 1127805

Karthik Venkatraman Aadithya, Paul Allen Kuberry, Eric R. Keiter, Pavel B. Bochev, Alan Mar, Ting Mei, Biliana Stefanova Paskaleva, Kenneth Michael Leeson, (2020). Using ML to Develop Compact Models CMC SIG Weekly Meeting https://www.osti.gov/search/identifier:1779603 Document ID: 1126456

Kenneth Chadwick Sockwell, Kara J. Peterson, Paul Allen Kuberry, Pavel B. Bochev, Nathaniel Albert Trask, (2020). Interface Flux Recovery Coupling Method for the Ocean-Atmosphere System Results in Applied Mathematics https://www.osti.gov/search/identifier:1619234 Document ID: 1115388

Pavel B. Bochev, Biliana Stefanova Paskaleva, Paul Allen Kuberry, (2020). Data-driven development of exponential integrators with application to photocurrent effects modeling Siam Mds 2020 Document ID: 1102819

Paul Allen Kuberry, Mauro Perego, Nathaniel Albert Trask, Pavel B. Bochev, (2020). Field reconstruction from Raviart-Thomas, Nedelec, and finite volume degrees-of-freedom using Generalized Moving Least Squares Joint Mathematics Meeting https://www.osti.gov/search/identifier:1761038 Document ID: 1079309

Marta D’Elia, Giacomo Capodaglio, Pavel B. Bochev, Max Donald Gunzburger, (2020). An energy-based coupling approach to nonlocal interface problems https://www.osti.gov/search/identifier:1592829 Document ID: 1079082

Karthik Venkatraman Aadithya, Paul Allen Kuberry, Biliana Stefanova Paskaleva, Pavel B. Bochev, Kenneth Michael Leeson, Alan Mar, Ting Mei, Eric R. Keiter, (2019). Development, Demonstration and Validation of Data-driven Compact Diode Models for circuit simulation and analysis https://www.osti.gov/search/identifier:1592881 Document ID: 1068177

Marta D’Elia, Pavel B. Bochev, (2019). Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method https://www.osti.gov/search/identifier:1572228 Document ID: 1033859

Kenneth Chadwick Sockwell, Paul Allen Kuberry, Pavel B. Bochev, Nathaniel Albert Trask, Kara J. Peterson, (2019). Bulk-Interface-Flux-Recovery (Bulk-IFR) Method for Coupling the Atmosphere-Ocean Interface Conference on Computational Mathematics and Applications https://www.osti.gov/search/identifier:1642998 Document ID: 1054133

Pavel B. Bochev, Peter Andrew Bosler, Paul Allen Kuberry, Mauro Perego, Kara J. Peterson, Nathaniel Albert Trask, (2019). Compatible Particle Discretizations. Final LDRD Report https://www.osti.gov/search/identifier:1569143 Document ID: 1020557

Kenneth Chadwick Sockwell, Kara J. Peterson, Pavel B. Bochev, Paul Allen Kuberry, Nathaniel Albert Trask, (2019). Bulk-Interface-Flux-Recovery (Bulk-IFR) Method for Coupling the Atmosphere-Ocean Interface Conference on Computational Mathematics and Applications (CCMA) Document ID: 1009903

Pavel B. Bochev, Nathaniel Albert Trask, Mauro Perego, (2019). Mimetic meshfree methods or how to be compatible without a mesh 9th International Conference on Numerical Methods for Multi-Material Fluid Flow https://www.osti.gov/search/identifier:1641675 Document ID: 997947

Pavel B. Bochev, Paul Allen Kuberry, Nathaniel Albert Trask, Mauro Perego, (2019). The amazing powers of Generalized Moving Least-Squares Minimum Residual & Least-Squares Finite Element Methods https://www.osti.gov/search/identifier:1641676 Document ID: 997949

Pavel B. Bochev, Nathaniel Albert Trask, Mauro Perego, (2019). A meshfree mimetic divergence operator https://www.osti.gov/search/identifier:1763214 Document ID: 997951

Karthik Venkatraman Aadithya, Paul Allen Kuberry, Eric R. Keiter, Pavel B. Bochev, Alan Mar, Ting Mei, Biliana Stefanova Paskaleva, Kenneth Michael Leeson, (2019). Data-driven Circuit Design From Electrical Measurement Data To Compact Device Models Machine Learning and Deep Learning Conference 2019 https://www.osti.gov/search/identifier:1641510 Document ID: 997837

Pavel B. Bochev, Nathaniel Albert Trask, Paul Allen Kuberry, Mauro Perego, (2019). The amazing powers of Generalized Moving Least-Squares Minimum Residual & Least-Squares Finite Element Methods Document ID: 996745

Pavel B. Bochev, Kara J. Peterson, Paul Allen Kuberry, Nathaniel Albert Trask, (2019). Non-iterative partitioned methods based on monolithic formulations of the coupled problem 2019 Scientific Discovery through Advanced Compu!ng Principal Investigator (PI) Meeting https://www.osti.gov/search/identifier:1641144 Document ID: 985664

Mauro Perego, Pavel B. Bochev, Paul Allen Kuberry, Nathaniel Albert Trask, (2019). Generalized Moving Least Squares: Approximation Theory and Applications Seminar at Humboldt University, Berlin https://www.osti.gov/search/identifier:1645573 Document ID: 973722

Paul Allen Kuberry, Mauro Perego, Nathaniel Albert Trask, Pavel B. Bochev, (2019). The Compadre Toolkit for Native Degrees-of-Freedom 2019 Scientific Discovery through Advanced Computing Principal Investigator (PI) Meeting https://www.osti.gov/search/identifier:1641034 Document ID: 985090

Pavel B. Bochev, Pavel B. Bochev, Denis Ridzal, Denis Ridzal, Marta D’Elia, Marta D’Elia, Mauro Perego, Mauro Perego, Kara J. Peterson, Kara J. Peterson, (2019). Optimization-based, property-preserving finite element methods for scalar advection equations and their connection to Algebraic Flux Correction Comp. Meth. Application. Mech. Engrg. (CMAME) https://www.osti.gov/search/identifier:1644056 Document ID: 972632

Mauro Perego, Pavel B. Bochev, Peter Andrew Bosler, Paul Allen Kuberry, Kara J. Peterson, Nathaniel Albert Trask, (2019). Advances in the Approximation Theory of Generalized Moving Least Squares Approximation Theory 16 https://www.osti.gov/search/identifier:1640218 Document ID: 961852

Kara J. Peterson, Pavel B. Bochev, Paul Allen Kuberry, Nathaniel Albert Trask, (2019). Lagrange-Multiplier-Based Partitioned Method for Ocean-Atmosphere Coupling VIII International Conference on Coupled Problems in Science and Engineering https://www.osti.gov/search/identifier:1640221 Document ID: 972627

Paul Allen Kuberry, Mauro Perego, Nathaniel Albert Trask, Pavel B. Bochev, (2019). Field reconstruction from native degrees-of-freedom using the Compadre Toolkit Coupled Problems 2019 https://www.osti.gov/search/identifier:1640167 Document ID: 972343

Pavel B. Bochev, Paul Allen Kuberry, Kara J. Peterson, (2019). Explicit Partitioned Methods based on Monolithic Formulations of the Coupled Problem 8th International Conference on Coupled Problems https://www.osti.gov/search/identifier:1640129 Document ID: 971913

Nathaniel Albert Trask, Pavel B. Bochev, Mauro Perego, (2019). Mimetic Conservation Principles for Meshfree Approximation Approximation Theory 16 https://www.osti.gov/search/identifier:1640111 Document ID: 971882

Pavel B. Bochev, Nathaniel Albert Trask, Paul Allen Kuberry, Mauro Perego, (2019). Mesh-hardened finite element analysis through a Generalized Moving Least-Squares approximation of variational problems 12th International Conference on Large-Scale Scientific Computations https://www.osti.gov/search/identifier:1640065 Document ID: 961657

Mauro Perego, Pavel B. Bochev, Nathaniel Albert Trask, Peter Andrew Bosler, Paul Allen Kuberry, Kara J. Peterson, (2019). Advances in the Approximation Theory for Generalized Moving Least Squares Finite Element in Fluids https://www.osti.gov/search/identifier:1639699 Document ID: 948336

Nathaniel Albert Trask, Pavel B. Bochev, Mauro Perego, (2019). A conservative, consistent, and scalable meshfree mimetic method Journal of Computational Physics https://www.osti.gov/search/identifier:1618096 Document ID: 936556

Pavel B. Bochev, Nathaniel Albert Trask, Paul Allen Kuberry, Mauro Perego, (2019). Mesh-hardened finite element analysis through a Generalized Moving Least-Squares approximation of variational problems 12th International Conference on Large-Scale Scientific Computations https://www.osti.gov/search/identifier:1639268 Document ID: 935949

Marta D’Elia, Pavel B. Bochev, Giacomo Capodaglio, Max Donald Gunzburger, (2019). Mathematical foundations for nonlocal interface problems: multiscale simulations of heterogeneous materials MultiMat2019 Document ID: 935480

Pavel B. Bochev, Nathaniel Albert Trask, Paul Allen Kuberry, Mauro Perego, (2019). A New Meshfree Variational Approach for PDEs 12th International Conference on Large-Scale Scientific Computations Document ID: 935638

Nathaniel Albert Trask, Pavel B. Bochev, Mauro Perego, (2019). Mimetic conservation principles for meshfree discretization 12th International Conference on Large-Scale Scientific Computations Document ID: 935640

Pavel B. Bochev, (2019). Optimization-based property-preserving methods 2019 ASCR PI Meeting https://www.osti.gov/search/identifier:1595894 Document ID: 912899

Pavel B. Bochev, Denis Ridzal, Kara J. Peterson, Paul Allen Kuberry, Marta D’Elia, Mauro Perego, (2019). Optimization-based property-preserving methods 2019 ASCR PI meeting Document ID: 913007

Paul Allen Kuberry, Mauro Perego, Nathaniel Albert Trask, Pavel B. Bochev, (2019). Data Transfer and Coupling of Native Fields with the Compadre Toolkit Coupled Problems 2019 Document ID: 902044

Kara J. Peterson, Pavel B. Bochev, Paul Allen Kuberry, (2018). Explicit synchronous partitioned algorithms for interface problems based on Lagrange multipliers Computers & Mathematics with Applications https://www.osti.gov/search/identifier:1492351 Document ID: 901446

Nathaniel Albert Trask, Pavel B. Bochev, Mauro Perego, (2018). A consistent and scalable meshfree mimetic method for conservation laws Workshop on Computational Engineering Document ID: 888689

Pavel B. Bochev, Nathaniel Albert Trask, Paul Allen Kuberry, Mauro Perego, Kara J. Peterson, Peter Andrew Bosler, (2018). Compatible meshless methods for DPEs Workshop on Computational Engineering https://www.osti.gov/search/identifier:1806965 Document ID: 877204

Paul Allen Kuberry, Peter Andrew Bosler, Nathaniel Albert Trask, Mauro Perego, Kara J. Peterson, Pavel B. Bochev, (2018). The Compadre Toolkit Nuclear Explosives Code Developer Conference (NECDC) https://www.osti.gov/search/identifier:1594258 Document ID: 876958

Christopher Siefert, Richard Michael Jack Kramer, Thomas E. Voth, Pavel B. Bochev, (2018). Formulation and computation of dynamic, interface-compatible Whitney complexes in three dimensions Journal of Computational Physics https://www.osti.gov/search/identifier:1469640 Document ID: 854101

Kara J. Peterson, Pavel B. Bochev, Paul Allen Kuberry, (2018). Explicit Partitioned Methods for Interface Coupling 13th World Congress in Computational Mechanics https://www.osti.gov/search/identifier:1574283 Document ID: 841372

Mauro Perego, Pavel B. Bochev, Nathaniel Albert Trask, Peter Andrew Bosler, Paul Allen Kuberry, Kara J. Peterson, (2018). Advances in the Approximation Theory for Functional Reconstructions Using GMLS and Applications to Meshless Discretization of Differential Equations Wccm https://www.osti.gov/search/identifier:1573545 Document ID: 841805

Nathaniel Albert Trask, Mauro Perego, Pavel B. Bochev, (2018). Discretely conservative meshfree schemes for conservation laws World Congress on Computational Mechanics https://www.osti.gov/search/identifier:1806699 Document ID: 841287

Kara J. Peterson, Pavel B. Bochev, Paul Allen Kuberry, (2018). Explicit Partitioned Methods for Interface Coupling Eccm Ecfd 2018 https://www.osti.gov/search/identifier:1526419 Document ID: 808609

Denis Ridzal, Pavel B. Bochev, (2018). Optimization-based property-preserving solution recovery for fault-tolerant scalar transport 6th European Conference on Computational Mechanics (ECCM 6) https://www.osti.gov/search/identifier:1525952 Document ID: 783913

Paul Allen Kuberry, Pavel B. Bochev, Kara J. Peterson, (2018). A Virtual Control, Mesh-free Coupling Method For Non-coincident Interfaces Eccm – Ecfd 2018 https://www.osti.gov/search/identifier:1525927 Document ID: 808429

Pavel B. Bochev, Mauro Perego, Marta D’Elia, Denis Ridzal, Kara J. Peterson, (2018). Optimization-based, property preserving finite element methods for transport equations 6th European Conference on Computational Mechanics 7th European Conference on Computational Fluid Dynamics 11-15 June 2018, Glasgow, UK https://www.osti.gov/search/identifier:1525706 Document ID: 808248

Paul Allen Kuberry, Pavel B. Bochev, Kara J. Peterson, (2018). Mesh-tying via multiple-control PDE-constrained optimization and GMLS function reconstruction 15th Copper Mountain Conference on Iterative Methods https://www.osti.gov/search/identifier:1504320 Document ID: 783338

Pavel B. Bochev, Peter Andrew Bosler, Karen D. Devine, Mauro Perego, Kara J. Peterson, Andrew G. Salinger, John N. Shadid, Erik Gunnar Boman, Scott A. Mitchell, Timothy Michael Wildey, (2018). Slides for Presentation to Steve Lee Visit to SNL by Steve Lee Document ID: 772191

Kara J. Peterson, Pavel B. Bochev, Nathaniel Albert Trask, (2018). Improving the Material-Point Method with GMLS UCSD/CEER-Sandia Workshop on Meshfree and Related Computational Methods https://www.osti.gov/search/identifier:1512652 Document ID: 726152

Mauro Perego, Pavel B. Bochev, Nathaniel Albert Trask, (2017). Approximation Properties of Functional Reconstructions Using GMLS UCSD/CEER-Sandia Workshop on ?Meshfree and Related Computational Methods? Document ID: 726266

Marta D’Elia, Pavel B. Bochev, David John Littlewood, Mauro Perego, (2017). A coupling strategy for nonlocal and local models Colloquium at Texas Tech University Document ID: 692945

Denis Ridzal, Marta D’Elia, Mauro Perego, Pavel B. Bochev, (2017). Property preserving finite element methods via constrained optimization International Conference on Numerical Methods for Multi-Material Fluid Flows (MULTIMAT 2017) https://www.osti.gov/search/identifier:1513336 Document ID: 672518

Paul Allen Kuberry, Pavel B. Bochev, Kara J. Peterson, Edward Geoffrey Phillips, (2017). Coupling Hyperbolic PDEs Over Non-Coincident Interfaces Multimat 2017 https://www.osti.gov/search/identifier:1474028 Document ID: 672382

Kara J. Peterson, Denis Ridzal, Pavel B. Bochev, (2017). Optimization-based Tracer Transport MultiMat https://www.osti.gov/search/identifier:1471980 Document ID: 672367

Nathaniel Albert Trask, Pavel B. Bochev, Mauro Perego, (2017). Locally compatible meshless methods for PDEs Multimat 2017 https://www.osti.gov/search/identifier:1471967 Document ID: 672239

Paul Allen Kuberry, Pavel B. Bochev, Kara J. Peterson, Michael K. Wong, (2017). Bridging the gap: from algorithm development to mission impact, a partitioned elastodynamics example. CIS External Review Board Poster Presentations https://www.osti.gov/search/identifier:1465084 Document ID: 659855

Kara J. Peterson, Pavel B. Bochev, Denis Ridzal, Mark Alan Taylor, (2017). Optimization-Based Semi-Lagrangian Tracer Transport Cis Rf Erb https://www.osti.gov/search/identifier:1465013 Document ID: 659827

Pavel B. Bochev, (2017). Optimization-Based Property Preserving Methods, or going boldly beyond compatible discretizations Int. Conf. Mathematics Days in Sofia https://www.osti.gov/search/identifier:1513615 Document ID: 636857

Kara J. Peterson, Pavel B. Bochev, Paul Allen Kuberry, (2017). Explicit Partitioned Methods for Coupled Problems Based on Lagrange Multipliers Coupled Problems https://www.osti.gov/search/identifier:1523700 Document ID: 625889

Brian Hong, Mauro Perego, Pavel B. Bochev, Amalie Frischknecht, Edward Geoffrey Phillips, (2017). Towards a Scalable Multifidelity Simulation Approach for Electrokinetic Problems at the Mesoscale Large-Scale Scientific Computations, 2017 https://www.osti.gov/search/identifier:1458217 Document ID: 625553

Marta D’Elia, Pavel B. Bochev, Marta D’Elia, Mauro Perego, Denis Ridzal, (2017). Optimization-based, property preserving finite element methods Finite Elements in Flow Problems (FEF2017) https://www.osti.gov/search/identifier:1458218 Document ID: 611765

Paul Allen Kuberry, Pavel B. Bochev, Kara J. Peterson, (2017). An Optimization-Based, Globally Flux-Conserving Coupling of Problems with Spatially Non-Coincident Interface Discretizations The 11th International Conference on Large-Scale Scientific Computations (LSSC’17) https://www.osti.gov/search/identifier:1458183 Document ID: 625459

Pavel B. Bochev, Paul Allen Kuberry, Kara J. Peterson, (2017). An explicit partitioned elastodynamics method based on Lagrange Multipliers 11th Conference on Large Scale Scientific Computing, LSSC 17 https://www.osti.gov/search/identifier:1458082 Document ID: 624787

Pavel B. Bochev, Paul Allen Kuberry, Kara J. Peterson, (2017). A virtual control coupling approach for problems with non-coincident discrete interfaces 11th International Conference on Large-Scale Scientific Computations https://www.osti.gov/search/identifier:1457975 Document ID: 624013

Brian Hong, Mauro Perego, Pavel B. Bochev, Amalie Frischknecht, Edward Geoffrey Phillips, (2017). Towards a Scalable Multifidelity Simulation Approach for Electrokinetic Problems at the Mesoscale 11th International Conference on Large-Scale Scientific Computations. LSSC’17. https://www.osti.gov/search/identifier:1457917 Document ID: 623795

Kara J. Peterson, Pavel B. Bochev, Mauro Perego, Xujiao Gao, (2017). Multiscale Stabilized Control Volume Finite Element Method for Advection-Diffusion International Conference on Finite Elements in Flow Problems (FEF2017) https://www.osti.gov/search/identifier:1456439 Document ID: 611494

Paul Allen Kuberry, Pavel B. Bochev, Kara J. Peterson, Edward Geoffrey Phillips, (2017). A Partitioned Method for Explicit Elastodynamics Based on a Generalized Dual Schur Complement 18th Copper Mountain Conference On Multigrid Methods https://www.osti.gov/search/identifier:1456371 Document ID: 611147

David John Littlewood, Marta D’Elia, Pavel B. Bochev, David John Littlewood, Mauro Perego, (2017). Optimization-based coupling of local and nonlocal models: Applications to peridynamics Handbook of Nonlocal Continuum Mechanics for Materials and Structures https://www.osti.gov/search/identifier:1393319 Document ID: 610928

Pavel B. Bochev, Marta D’Elia, Mauro Perego, Kara J. Peterson, Denis Ridzal, (2017). Optimization-Based Property Preserving Methods, or Going Boldly Beyond Compatible Discretizations Int. Conference Mathematics days in Sofia Document ID: 600476

James (FSU) Cheung, Amalie Frischknecht, Mauro Perego, Pavel B. Bochev, (2017). A Multifidelity Approach to Effectively Compute the Steady-State Flow Of Ionic Solutions SIAM Conference on Computational Science and Engineering https://www.osti.gov/search/identifier:1429255 Document ID: 599416

Paul Allen Kuberry, Pavel B. Bochev, Kara J. Peterson, Edward Geoffrey Phillips, (2017). Coupling Hyperbolic PDEs Over Non-Coincident Interfaces Multimat 2017 Document ID: 589484

Kara J. Peterson, Pavel B. Bochev, Paul Allen Kuberry, (2017). Mortar Flux Recover (MFR) Algorithm and Analysis Siam Cse https://www.osti.gov/search/identifier:1427961 Document ID: 599492

David John Littlewood, Marta D’Elia, Mauro Perego, Pavel B. Bochev, (2017). Optimization-Based Coupling for Local and Nonlocal Models SIAM Conference on Computational Science and Engineering (CSE) https://www.osti.gov/search/identifier:1424567 Document ID: 589494

Marta D’Elia, Pavel B. Bochev, Mauro Perego, David John Littlewood, (2017). Optimization based coupling for nonlocal and local models with applications to static peridynamics Siam conference on computational science and engineering https://www.osti.gov/search/identifier:1424841 Document ID: 589380

Marta D’Elia, Pavel B. Bochev, Mauro Perego, David John Littlewood, (2017). A Coupling Strategy for Local and Nonlocal models with applications to static peridynamics Seminar at UT Knoxville, Math department Document ID: 589390

Kara J. Peterson, Pavel B. Bochev, Mauro Perego, Xujiao Gao, (2017). Stabilized Control Volume Finite Element Method for Drift Diffusion UNM Mathematics Department Applied Math Seminar https://www.osti.gov/search/identifier:1524972 Document ID: 578179

Paul Allen Kuberry, Pavel B. Bochev, Kara J. Peterson, (2017). Optimization-Based Approach for Problems with Non-Conforming Interface Discretizations International Conference on Domain Decomposition Methods https://www.osti.gov/search/identifier:1505690 Document ID: 578231

Pavel B. Bochev, Marta D’Elia, (2017). Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method SIAM J. Numerical analysis https://www.osti.gov/search/identifier:1429632 Document ID: 577478

Pavel B. Bochev, Marta D’Elia, (2017). Formulation and Analysis of a coupling strategy for nonlocal and local models SIAM conference on Mathematical Aspects of Material Science https://www.osti.gov/search/identifier:1505476 Document ID: 432052

Paul Allen Kuberry, Pavel B. Bochev, Kara J. Peterson, Edward Geoffrey Phillips, (2017). A partitioned method for explicit elastodynamics based on a generalized dual Schur complement 18th Copper Mountain Conference on Multigrid Methods, 2017 Document ID: 577374

Paul Allen Kuberry, Pavel B. Bochev, Kara J. Peterson, (2017). An Optimization-Based, Globally Flux-Conserving Coupling of Problems With Spatially Non-Coincident Interface Discretizations Large-Scale Scientific Computations LLSC’17 Document ID: 567141

James Cheung, Amalie Frischknecht, Mauro Perego, Pavel B. Bochev, (2016). A Hybrid, Coupled Approach for Modeling Charged Fluids from the Nano to the Mesoscale Journal Chemical Physics https://www.osti.gov/search/identifier:1398380 Document ID: 565909

Pavel B. Bochev, (2016). Advances in formula/on, analysis and computa/on of concurrent coupling methods CM4 External panel review https://www.osti.gov/search/identifier:1402328 Document ID: 531969

Amalie Frischknecht, James Cheung, Brian Hong, Mauro Perego, Pavel B. Bochev, (2016). Electrokinetic Models beyond Mean-Field Theory CM4 Annual Review for DOE/ASCR https://www.osti.gov/search/identifier:1401931 Document ID: 531947

Kara J. Peterson, Pavel B. Bochev, Paul Allen Kuberry, (2016). Mortar Flux Recovery (MFR) Algorithm and Analysis Necdc https://www.osti.gov/search/identifier:1400364 Document ID: 531701

Paul Allen Kuberry, Pavel B. Bochev, Kara J. Peterson, (2016). Optimization-based approach for problems with non-conforming interface discretizations International Conference on Domain Decomposition Methods Document ID: 530729

David John Littlewood, Marta D’Elia, Mauro Perego, Pavel B. Bochev, (2016). Optimization-Based Coupling for Local and Nonlocal Models 2017 SIAM Conference on Computational Science and Engineering https://www.osti.gov/search/identifier:1390745 Document ID: 529490

Paul Allen Kuberry, Pavel B. Bochev, Kara J. Peterson, (2016). Explicit and Implicit Interface Coupling Approaches Computational Science Seminar Series https://www.osti.gov/search/identifier:1375103 Document ID: 507694

Paul Kuberry, Pavel B. Bochev, Kara J. Peterson, (2016). An optimization-based approach for elliptic problems with interfaces SIAM Journal on Scientific Computing Document ID: 476342

Marta D’Elia, David John Littlewood, Mauro Perego, Pavel B. Bochev, (2016). A COUPLING STRATEGY FOR LOCAL AND NONLOCAL MODELS with applications to static peridynamics World Congress on Computational Mechanics https://www.osti.gov/search/identifier:1373156 Document ID: 486875

Pavel B. Bochev, Paul Allen Kuberry, Kara J. Peterson, (2016). Partitioned Algorithms for Coupled Structural Mechanics, Part 1: Variational Flux Recovery (VFR) Algorithm and Analysis Necdc 2016 Document ID: 475473

Pavel B. Bochev, Paul Allen Kuberry, Kara J. Peterson, (2016). Partitioned Algorithms for Coupled Structural Mechanics, Part 3: Mortar Flux Recovery (MFR) Algorithm and Analysis Necdc 2016 Document ID: 475483

Pavel B. Bochev, James Cheung, Marta D’Elia, Amalie Frischknecht, Michael L. Parks, Mauro Perego, (2016). Coupling of Multi-fidelity Models: Applications to PNP-cDFT and local-nonlocal Poisson equations CM4 Summer school https://www.osti.gov/search/identifier:1428032 Document ID: 475286

Paul Allen Kuberry, Pavel B. Bochev, (2016). An optimization-based approach to mesh tying and transmission problems ECCOMAS Congress 2016 https://www.osti.gov/search/identifier:1368837 Document ID: 463767

Pavel B. Bochev, Denis Ridzal, (2016). "Optimization-based additive decomposition of weakly coercive problems with applications to iterative solver design 2016 Copper Mountain Conference on Iterative Methods https://www.osti.gov/search/identifier:1366604 Document ID: 419879

Paul Allen Kuberry, Pavel B. Bochev, (2016). An optimization-based approach to mesh tying and transmission problems 14th Copper Mountain Conference on Iterative Methods https://www.osti.gov/search/identifier:1422058 Document ID: 420123

Mauro Perego, Nathaniel trask, Pavel B. Bochev, (2016). A High-order Staggered Meshless Method For Elliptic Problems SIAM Journal on Scientific Computing https://www.osti.gov/search/identifier:1369444 Document ID: 397593

Pavel B. Bochev, (2016). Optimization-based property preserving methods or going boldly beyond compatible discretization Fifth Chilean Workshop on Numerical Analysis of PDEs https://www.osti.gov/search/identifier:1338867 Document ID: 376347

Marta D’Elia, Pavel B. Bochev, (2015). Heterogeneous Domain Decomposition methods for Nonlocal problems SIAM Conference on Analysis of Partial Differential Equations https://www.osti.gov/search/identifier:1336014 Document ID: 365260

Pavel B. Bochev, (2015). Optimization-Based Property Preserving Methods, or Going Boldly Beyond Compatible Discretizations Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations Document ID: 364857

Pavel B. Bochev, Paul Allen Kuberry, (2015). An optimization-based approach to mesh tying and transmission problems Eccomas 2016 Document ID: 364891

Pavel B. Bochev, Paul Allen Kuberry, (2015). Variations on an interface theme Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations Document ID: 364856

Xujiao Gao, Andy Huang, Kara J. Peterson, Gary L. Hennigan, Lawrence Musson, Pavel B. Bochev, (2015). Implementation of Different Stabilization Schemes in Charon Using Trilinos/Panzer 2015 Trilinos User Group Meeting https://www.osti.gov/search/identifier:1331955 Document ID: 353633

Marta D’Elia, Mauro Perego, Pavel B. Bochev, David John Littlewood, (2015). A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions Nonlocal Models in Mathematics, Computation, Science, and Engineering https://www.osti.gov/search/identifier:1506751 Document ID: 343439

Mauro Perego, Marta D’Elia, Pavel B. Bochev, David John Littlewood, (2015). A coupling strategy for Local and Nonlocal continuum models Advances in Scientific Computing and Applied Mathematics https://www.osti.gov/search/identifier:1336328 Document ID: 342746

Kara J. Peterson, Marta D’Elia, Denis Ridzal, Pavel B. Bochev, Mikhail Shashkov, (2015). Optimization-based Mesh Correction MultiMat 2015 https://www.osti.gov/search/identifier:1326773 Document ID: 320821

Pavel B. Bochev, Paul Allen Kuberry, (2015). Variations on an interface theme 7th International Conference on Numerical Methods for MultiMaterial Fluid Flow https://www.osti.gov/search/identifier:1531084 Document ID: 320730

Mauro Perego, Stephen (LANL) Price, Matthew (LANL) Hoffman, Andrew G. Salinger, Pavel B. Bochev, Max (FSU) Gunzburger, (2015). Coupling of Momentum Balance and Thickness Evolution Equations for Ice Sheet Modeling Iciam 2015 https://www.osti.gov/search/identifier:1312674 Document ID: 319596

Marta D’Elia, Mauro Perego, Pavel B. Bochev, David John Littlewood, (2015). A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions Computer and Mathematics with Applications https://www.osti.gov/search/identifier:1237697 Document ID: 319598

Marc Gerritsma, Pavel B. Bochev, (2015). A Spectral Mimetic Least-squares Method For The Stokes Equations With No-slip Boundary Condition Computers and Mathematics with applications https://www.osti.gov/search/identifier:1259851 Document ID: 319607

Marta D’Elia, Pavel B. Bochev, (2015). Formulation, Analysis and Computation of an Optimization-Based Local to Nonlocal coupling method International Congress on Industrial and Applied Mathematics https://www.osti.gov/search/identifier:1289562 Document ID: 319286

Marta D’Elia, Mauro Perego, Pavel B. Bochev, David John Littlewood, (2015). A coupling strategy for Local and Nonlocal continuum models International Congress on Industrial and Applied Mathematics https://www.osti.gov/search/identifier:1289561 Document ID: 319287

Pavel B. Bochev, Denis Ridzal, (2015). Optimization-based additive decomposition of weakly coercive problems with applications, Computers and mathematics with applications https://www.osti.gov/search/identifier:1237674 Document ID: 308265

Todd D. Heinrichs, Neal E. Singer, Pavel B. Bochev, (2015). Sandia Computational Mathematician Receives DOE?s EO Lawrence Award Document ID: 307804

Pavel B. Bochev, (2015). Optimization-Based Property Preserving Methods, or Going Boldly Beyond Compatible Discretizations CEA-EDF-INRIA School on "New trends in compatible discretizations" https://www.osti.gov/search/identifier:1331585 Document ID: 307237

Marta D’Elia, Pavel B. Bochev, (2015). An Optimization-Based coupling of Local and Nonlocal models MathLab Seminars at SISSA (Scuola Internazionale Superiore di Studi Avanzati) https://www.osti.gov/search/identifier:1253305 Document ID: 275479

Pavel B. Bochev, Scott Moe, Kara J. Peterson, Denis Ridzal, (2015). A Conservative, Optimization-based Semi-Lagrangian Spectral Element Method for Passive Tracer Transport 6th International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2015) https://www.osti.gov/search/identifier:1253083 Document ID: 275364

Marta D’Elia, Pavel B. Bochev, (2015). An Optimization-Based Local to Nonlocal Coupling Method Coupled Problems 2015 https://www.osti.gov/search/identifier:1253081 Document ID: 275441

Pavel B. Bochev, Marta D’Elia (SNL), (2015). Optimization-based coupling of local and nonlocal continuum models: A divide and conquer approach for stable and physically consistent heterogeneous numerical models VI International Conference on Computational Methods for Coupled Problems in Science and Engineering ? Coupled Problems 2015 https://www.osti.gov/search/identifier:1252913 Document ID: 265176

Pavel B. Bochev, Paul Allen Kuberry, (2015). A variational force recovery approach for elastodynamics problems with interfaces 1st Pan-American Congress on Computational Mechanics PANACM 2015 https://www.osti.gov/search/identifier:1249293 Document ID: 264384

Pavel B. Bochev, Marta D’Elia, (2015). An Optimization-Based Local to Nonlocal Coupling Method 1st Panamerican Conference on Computational Mechanics https://www.osti.gov/search/identifier:1530976 Document ID: 254411

Kara J. Peterson, Denis Ridzal, Pavel B. Bochev, (2015). Feature-Preserving Finite Element Transport Across Interfaces: Part2, Direct Flux Recovery SIAM Conference on Computational Science and Engineering Document ID: 232494

Pavel B. Bochev, Paul Allen Kuberry, (2015). A new partitioned algorithm for explicit elastodynamics based on variational flux recovery SIAM CSE conference Document ID: 232404

Christopher Siefert, Richard Michael Jack Kramer, Pavel B. Bochev, Thomas E. Voth, (2015). Extended and Conformal Decomposition Finite Elements for 3D Compatible Discretizations SIAM Conference on Computational Sceince and Engineering (CSE15) https://www.osti.gov/search/identifier:1241271 Document ID: 232193

Marta D’Elia, Denis Ridzal, Kara J. Peterson, Pavel B. Bochev, Mikhail Jurievich Shashkov, (2015). Optimization-based mesh correction with volume and convexity constraints Journal of Computational Physics https://www.osti.gov/search/identifier:1254321 Document ID: 232084

Pavel B. Bochev, Paul Allen Kuberry, (2015). A variational flux recovery approach for elastodynamics problems with interfaces 1st Pan American Congresses on Computational Mechanics https://www.osti.gov/search/identifier:1238224 Document ID: 220715

Pavel B. Bochev, Scott Moe, Kara J. Peterson, Denis Ridzal, (2015). A Conservative, Optimization-Based Semi-Lagrangian Spectral Element Method for Passive Tracer Transport VI International Conference on Computational Methods for Coupled Problems in Science and Engineering https://www.osti.gov/search/identifier:1238306 Document ID: 220557

Marta D’Elia, Pavel B. Bochev, (2014). Optimization?Based Coupling of Nonlocal and Local Diffusion Models MRS Fall & Exhibit Meeting https://www.osti.gov/search/identifier:1315411 Document ID: 219248

Marta D’Elia, Pavel B. Bochev, (2014). Optimization?Based Coupling of Nonllocall and Locall diffusion models 2014 MRS Fall Meeting & Exhibit https://www.osti.gov/search/identifier:1242780 Document ID: 218783

Kara J. Peterson, Pavel B. Bochev, Mauro Perego, Xujiao Gao, (2014). Implementation of a Second-Order Stabilized CVFEM using Intrepid Trilinos Users Group https://www.osti.gov/search/identifier:1367642 Document ID: 207661

Pavel B. Bochev, Marc Gerritsma (TU Delft), (2014). A locally conservative high-order least-squares formulation in curvilinear coordinates International Conference on Spectral and High Order Methods https://www.osti.gov/search/identifier:1315264 Document ID: 176849

Marta D’Elia, Pavel B. Bochev, (2014). Formulation, analysis and computation of an Optimization Based Local to Nonlocal Coupling Method Scientific Computing Colloquium, Florida State University https://www.osti.gov/search/identifier:1503141 Document ID: 176518

Derek Olson, Mitchell Luskin, Alexander Shapeev, Pavel B. Bochev, (2014). Analysis Of An Optimization-based Atomostic-to-continuum Coupling Method For Point Defects Mathematical Modelling and Numerical Analysis https://www.osti.gov/search/identifier:1313073 Document ID: 154927

Christopher Siefert, Pavel B. Bochev, Richard Michael Jack Kramer, Thomas E. Voth, (2014). Sub-Cell Resolution Techniques for Multi-Material Electromagnetics in Two and Three Dimensions https://www.osti.gov/search/identifier:1241710 Document ID: 166090

Christopher Siefert, Pavel B. Bochev, Richard Michael Jack Kramer, Thomas E. Voth, James Cox, (2014). Electromagnetic Extended Finite Elements for High-Fidelity Multimaterial Problems LDRD Final Report https://www.osti.gov/search/identifier:1322284 Document ID: 155546

Kara J. Peterson, Pavel B. Bochev, Denis Ridzal, (2014). Optimization-Based Transport of Passive Tracers International Worshop on Modeling and Simulation of Transport Phenomena https://www.osti.gov/search/identifier:1494442 Document ID: 143320

Pavel B. Bochev, Mauro Perego, Xujiao Gao, Kara J. Peterson, (2014). A New Control Volume Finite Element Method for the Drift-Diffusion Equations on Unstructured Grids The International Symposium of Finite Volumes for Complex Applications VII https://www.osti.gov/search/identifier:1497520 Document ID: 101519

Kara J. Peterson, Pavel B. Bochev, Denis Ridzal, (2014). Optimization-Based Tracer Transport on the Sphere Partial Differential Equations on a Sphere Workshop https://www.osti.gov/search/identifier:1142296 Document ID: 5334678

Kara J. Peterson, Pavel B. Bochev, (2013). Efficient Parallel Algorithms for Climate Data Analysis American Geophysical Union (AGU) Fall Meeting https://www.osti.gov/search/identifier:1121648 Document ID: 5330794

Allen C. Robinson, Otto Erik Strack, William J. Rider, John Walter, Kristi Brislawn, Edward Love, Thomas E. Voth, Stewart John Mosso, John Henry Judah Niederhaus, Sharon Petney, Richard R. Drake, V. Gregory Weirs, Brian M. Adams, Dena Vigil, John H. Carpenter, Christopher J. Garasi, Michael K. Wong, Joshua Robbins, Christopher Siefert, Ann Elisabet Wills, Susan carroll, Duane LaBreche, Chris Kueny, Chris Luchini, Timothy G. Trucano, Pavel B. Bochev, Randall M. Summers, James R. Stewart, Curtis C. Ober, Thomas A. Haill, Raymond W. Lemke, Kyle Cochrane, Michael P. Desjarlais, (2013). ALEGRA Update: Modernization and Resilience Progress Multimat2013 https://www.osti.gov/search/identifier:1115141 Document ID: 5327018

Christopher Siefert, Pavel B. Bochev, Richard Michael Jack Kramer, Thomas E. Voth, (2013). Extended Finite Elements for Multi-Material Electromagnetics Multimat 2013 Document ID: 5326697

Rudy J. Garcia, Pavel B. Bochev, Kara J. Peterson, Mikhail Shashkov, (2013). Fast optimization algorithms for feature-preserving solution transferfeature-preserving solution transfer DOE ASCR Applied Math Program Meeting https://www.osti.gov/search/identifier:1106591 Document ID: 5326148

Kara J. Peterson, Pavel B. Bochev, Denis Ridzal, (2013). Optimization-Based Transport on the Cubed Sphere Grid 2013 DOE Applied Mathematics Program Meeting https://www.osti.gov/search/identifier:1107020 Document ID: 5325659

Richard Michael Jack Kramer, Pavel B. Bochev, Christopher Siefert, Thomas E. Voth, (2013). An eXtended Finite Element Method with Algebraic Constraints (XFEM-AC) for problems with weak discontinuities Computer Methods in Applied Mechanics and Engineering https://www.osti.gov/search/identifier:1106459 Document ID: 5324993

Kara J. Peterson, Pavel B. Bochev, (2013). Reducing Uncertainty in High-Resolution Sea Ice Models https://www.osti.gov/search/identifier:1090226 Document ID: 5324348

Kara J. Peterson, Pavel B. Bochev, Denis Ridzal, (2013). Optimization-Based Transport on the Cubed Sphere Grid 9th International Conference on Large-Scale Scientific Computations https://www.osti.gov/search/identifier:1107015 Document ID: 5322971

Christopher Siefert, Pavel B. Bochev, Thomas E. Voth, Richard Michael Jack Kramer, (2013). Algebraically-Constrained Tied Heaviside Methods for Computational Electromagnetics 12th U.S. National Congress on Computational Mechanics (USNCCM12) https://www.osti.gov/search/identifier:1666077 Document ID: 5324553

Christopher Siefert, Richard Michael Jack Kramer, Thomas E. Voth, Pavel B. Bochev, (2013). {Electromagnetic XFEM with Weak Discontinuities SIAM Annual Meeting 2013 https://www.osti.gov/search/identifier:1666079 Document ID: 5324270

Kara J. Peterson, Pavel B. Bochev, Denis Ridzal, (2013). Optimization-based conservative transport on the cubed sphere grid Ninth International Conference on Large-Scale Scientific Computations https://www.osti.gov/search/identifier:1145256 Document ID: 5319878

Kara J. Peterson, Pavel B. Bochev, (2012). Update on Intrepid Algorithms ParVis All Hands Meeting https://www.osti.gov/search/identifier:1062286 Document ID: 5314875

Xujiao Gao, Pavel B. Bochev, Kara J. Peterson, Roger P. Pawlowski, Gary L. Hennigan, Lawrence Musson, (2012). DCA Tool Use in Charon – A Case Study: CVFEM-SG Implementation in Charon2 Trilinos Users Group Meeting https://www.osti.gov/search/identifier:1062261 Document ID: 5314648

Michael L. Parks, Pavel B. Bochev, (2012). Concurrent Coupling Techniques Modeling Mesoscale Math Center Kick-Off Meeting https://www.osti.gov/search/identifier:1647948 Document ID: 5312583

Christopher Siefert, Thomas E. Voth, Pavel B. Bochev, (2012). Electromagnetic eXtended Finite Elements for Accurate Resolution of Multi-Material Cells ARL 2012 Research in Ballistic Protection Technologies Workshop https://www.osti.gov/search/identifier:1117558 Document ID: 5306774

Christopher Siefert, Pavel B. Bochev, Oksana Guba, (2012). Mimetic Least Squares Methods with Preconditioners for Darcy Flow Twelfth Copper Mountain Conference on Iterative Methods https://www.osti.gov/search/identifier:1657048 Document ID: 5305756

Jeremy Lieber Sprung, Pavel B. Bochev, Santiago Badia, Jacob Fish, Mark Shephard, Mohan Nuggehally, Catalin Picu, Max Gunzburger, (2011). Relating Atomistic-to-Continuum (AtC) Coupling and Domain Decomposition 6th International Congress on Industrial and Applied Mathematics https://www.osti.gov/search/identifier:1141448 Document ID: 5253833

Rudy J. Garcia, Pavel B. Bochev, Nathan Roberts, Leszek Demkowicz, (2011). A Toolbox For A Class Of Discontinuous Petrov-galerkin Methods Using Trilinos https://www.osti.gov/search/identifier:1029782 Document ID: 5299404

Kara J. Peterson, Pavel B. Bochev, (2011). Control Volume Finite Element Method with Multidimensional Edge Element Scharfetter-Gummel upwinding. Part 2. Computational Study https://www.osti.gov/search/identifier:1113868 Document ID: 5297323

Joseph G Young, Denis Ridzal, Pavel B. Bochev, (2011). Optimization-Based Modeling: Part 3 – Monotone Methods for Transport without Limiters 8th International Conference on Large-Scale Scientific Computations https://www.osti.gov/search/identifier:1107675 Document ID: 5295426

Kara J. Peterson, Pavel B. Bochev, Denis Ridzal, (2011). Intrepid Functionality for Parvis Parvis Meeting https://www.osti.gov/search/identifier:1671462 Document ID: 5293611

Showing Results. Show More Publications

Software

Trilinos

Awards & Recognition

2015

Pavel B. Bochev, E.O. Lawrence Award, DOE, For pioneering theoretical and practical advances in numerical methods for partial differential equations (PDEs), which includes the invention of new algorithms, the rigorous mathematical analysis of algorithms and of the mathematical models to which they apply, the implementation of computational algorithms for solving applications problems of general interest that are also of particular relevance to Department of Energy missions, and the development of production software., June 1, 2015

2012

Pavel B. Bochev, Exascale Research Conference, DOE, April 15, 2012

Pavel B. Bochev, Fellow of the Society of Industrial and Applied Mathematics (SIAM), SIAM, Philadelphia, 2012 Class of SIAM Fellows , March 30, 2012

Pavel B. Bochev, Workshop on Advanced Computational Engineering, Oberwolfach, Germany, MFO, February 1, 2012

Pavel B. Bochev, Workshop on Mathematical Theory and Computational Methods for Multiscale Problems, National University of Singapore, January 21, 2012

2011

Pavel B. Bochev, Guest editor: special issue on "Physics-compatible numerical methods", Journal of Computational Physics, Other guest editors for this issue: Remi Abgrall (University of Bordeaux and INRIA), Jason Frank (CWI and University of Amsterdam), Barry Koren (CWI and Leiden University, managing guest editor), Blair Perot (University of Massachusetts Amherst)., November 1, 2011

Pavel B. Bochev, Denis Ridzal, "Optimization-based modeling - a new strategy for predictive simulations. Part 1", 8th Int. Conf. Large Scale Sci. Comp., June 2011, Sozopol, May 7, 2011

Pavel B. Bochev, A Locally Conservative, Discontinuous Least-squares Finite Element for the Stokes Equations, ICIAM 11, Vancouver, Presented at special session on "Advances in locally mass conservative discretizations for fluid flows", July 19, 2011

Pavel B. Bochev, Denis Ridzal, Additive Decomposition of Multiphysics Problems, 2011 SIAM CS/E Conference, February 27, 2011

Pavel B. Bochev, DOE Early Career Award Panel, Department of Energy, ASCR, January 28, 2011

Pavel B. Bochev, Mimetic Discrete Models with Weak Material Laws, or Least Squares Methods Revisited, The Thirty-sixth Woudschoten Conference, Netherlands, October 7, 2011

Pavel B. Bochev, Mimetic discretizations and what they can do for you, The Thirty-sixth Woudschoten Conference, Netherlands, October 5, 2011

Pavel B. Bochev, Denis Ridzal, Optimization-Based Computational Modeling, or How toAchieve Better Predictiveness with Less Complexity, Midwest Numerical Analysis Day 2011, Purdue University, Plenary presentation., May 5, 2011

Pavel B. Bochev, Denis Ridzal, Optimization-Based Decomposition of Multiphysics Problems with Applications to Solver Design, ICIAM 11, Vancouver, Presented at special session on "Solution Algorithms for Multiple-Component Constrained Partial Differential Equations", July 22, 2011

Pavel B. Bochev, Denis Ridzal, Mikhail Shashkov, Los Alamos National Lab, Organizers of a minisimposium on "Nonstandard methods and tools for computational modeling", 2011 SIAM CS/E Meeting, Minisimposium comprised of 3 parts., February 27, 2011

Pavel B. Bochev, Denis Ridzal, Mikhail Shashkov, LOS ALAMOS NATIONAL LAB, Organizers of special session on "Advanced methods for transport", 8th Int. Conf. Large Scale Sci. Comp., June 2011, Sozopol, Bulgaria, June 4, 2011

Pavel B. Bochev, John Shadid, Organizers of special session on "Advances in solution methods for challenging multiphysics systems", 16th Conference on Finite Elements in Fluids, Munich, Germany, March 1, 2011

Pavel B. Bochev, Solving PDEs with Intrepid, 11th red Rider min-simposium., November 5, 2011

Joseph Young, Denis Ridzal, Pavel Bochev, Optimization-based modeling with applications to transport. Part 2. Optimization algorithm, 8th Int. Conf. Large Scale Sci. Comp., June 7, 2011

2010

Pavel B. Bochev, Award for Excellence, Sandia National Laboratories, For educating the next generation of computational scientists through teaching at UNM, November 10, 2010

Pavel B. Bochev, Award for excellence, Sandia National Laboratories, For outstanding team effort on an industrial CRADA project , February 16, 2010

Pavel B. Bochev, Editor in chief, SIAM Journal on Numerical Analysis, SIAM, January 1, 2010

Pavel B. Bochev, Employee Recognition Award Nomination, Sandia National Laboratories, Nomination for Individual Exceptional Service, March 23, 2010

Pavel B. Bochev, Least-squares methods for geosciences, Special Session on Advances in Computational Modeling in the Geosciences, SIAM Annual Meeting, July 14, 2010

Pavel B. Bochev, Least-squares methods for PDEs: a fair and balanced perspective, Institute of Mathematics and its Applications, University of Minnesota, Tutorial given at the IMA workshop on "Numerical solution of PDEs: novel discretization techniques", November 20, 2010

Pavel B. Bochev, Numerical PDE's review panel, National Science Foundation, Division of Mathematical Sciences, March 1, 2010

Pavel B. Bochev, Optimization-based computational modeling, Institute of mathematics and its Applications, U. Minnesota, Invited talk at the IMA workshop on "Numerical solution of PDEs: novel discretization techniques", November 1, 2010

Pavel B. Bochev, Optimization-based computational modeling, or how to achieve better predictiveness with less complexity, Pontifical Catholic University of Chile, Santiago, Chile, December 9, 2010

Pavel B. Bochev, Optimization-based computational models, or how to let someone else do the hard work, University of Pavia, Workshop on “Non-standard numerical methods for PDE's”, Pavia,Italy, June 29, 2010

Pavel B. Bochev, Member of the international scientific committee, 8th International Conference on Large Scale Scientific Computing, LSSC 11, Sozopol, Bulgaria, September 1, 2010

Pavel B. Bochev, Member of the organizing committee, 2010 DOE Applied Math Program Meeting, Office of Science, DOE, February 1, 2010

2009

Pavel B. Bochev, Editor-in-Chief, SIAM Journal on Numerical Analysis, Published by the Society for Industrial and Applied Mathematics, January 1, 2009