Pavel B. Bochev

Computing Research

(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

Amy de Castro, Paul Kuberry, Irina Tezaur, Pavel Bochev, (2023). A Novel Partitioned Approach for Reduced Order Model—Finite Element Model (ROM-FEM) and ROM-ROM Coupling Earth and Space 2022 https://doi.org/10.1061/9780784484470.044 Publication ID: 80830

Marta D’Elia, Pavel Bochev, John Foster, Christian Glusa, Mamikon Gulian, Max Gunzburger, Jeremy Trageser, Kristopher Kuhlman, Mario Martinez, Habib Najm, Stewart Silling, Michael Tupek, Xiao Xu, (2022). Mathematical Foundations for Nonlocal Interface Problems: Multiscale Simulations of Heterogeneous Materials (Final LDRD Report) https://doi.org/10.2172/1888162 Publication ID: 80232

Vijay Mahadevan, Jorge Guerra, Xiangmin Jiao, Paul Kuberry, Yipeng Li, Paul Ullrich, David Marsico, Robert Jacob, Pavel Bochev, Philip Jones, (2022). Metrics for Intercomparison of Remapping Algorithms (MIRA) protocol applied to Earth system models Geoscientific Model Development https://doi.org/10.5194/gmd-15-6601-2022 Publication ID: 80860

Marta D’Elia, Pavel Bochev, Mauro Perego, Jeremy Trageser, David Littlewood, (2021). An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions https://doi.org/10.2172/1825041 Publication ID: 76166

Kenneth Sockwell, Paul Kuberry, James Tucker, Pavel Bochev, (2021). Automated Discovery of DOminaNt physics Informed Surrogates (ADDONIS) Framework https://www.osti.gov/servlets/purl/1894021 Publication ID: 76392

Charles Hembree, Joshua Hanson, Biliana Paskaleva, Pavel Bochev, Eric Keiter, Alan Mar, Ting Mei, (2021). Semiconductor Device Models Constructed Using Simple Elements and Auxiliary Dynamics https://doi.org/10.2172/1890913 Publication ID: 75902

Paul Kuberry, Ting Mei, Eric Keiter, Biliana Paskaleva, Pavel Bochev, Joshua Hanson, (2021). Xyce Python Model Interpreter (Xyce-PyMi) for enabling ML advancements in production circuit simulation software https://doi.org/10.2172/1889549 Publication ID: 75928

Joshua Hanson, Biliana Paskaleva, Pavel Bochev, Eric Keiter, Charles Hembree, Paul Kuberry, (2021). A Numerical Compact Photocurrent Model and its Implementation via Xyce-PyMi https://doi.org/10.2172/1876997 Publication ID: 79274

Kenneth Sockwell, Pavel Bochev, Kara Peterson, Paul Kuberry, (2021). The Interface-Flux-Recovery (IFR) Methodfor Conservative and Stable Coupling Schemesin Geophysical Fluids and Mechanics https://doi.org/10.2172/1877832 Publication ID: 78801

Pavel Bochev, (2021). A hybrid analytic-numerical compact model for radiation-induced photocurrent effects https://www.osti.gov/servlets/purl/1884185 Publication ID: 78609

Paul Kuberry, Kara Peterson, Pavel Bochev, (2021). Generalized Moving Least Squares (GMLS) with Clip and Assured Sum (CAAS) Post-processing for Earth System Remap https://doi.org/10.2172/1854070 Publication ID: 77433

Marta D’Elia, Pavel Bochev, (2021). Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method Results in Applied Mathematics https://doi.org/10.1016/j.rinam.2020.100129 Publication ID: 53184

Kenneth Sockwell, Kara Peterson, Pavel Bochev, Paul Kuberry, (2020). Bulk-Interface-Flux-Recovery (Bulk-IFR) Methodfor Coupling the Atmosphere-Ocean Interface https://doi.org/10.2172/1832721 Publication ID: 71898

K. Sockwell, Kara Peterson, Paul Kuberry, Pavel Bochev, Nat Trask, (2020). Interface Flux Recovery coupling method for the ocean–atmosphere system Results in Applied Mathematics https://doi.org/10.1016/j.rinam.2020.100110 Publication ID: 73208

Paul Kuberry, Nathaniel Trask, Jacob Koester, Pavel Bochev, (2020). Regression Based Approach for Robust Finite Element Analysis on Arbitrary Grids (REBAR) https://www.osti.gov/servlets/purl/1822641 Publication ID: 70985

Pavel Bochev, Denis Ridzal, Marta D’Elia, Mauro Perego, Kara Peterson, (2020). Optimization-based, property-preserving finite element methods for scalar advection equations and their connection to Algebraic Flux Correction Computer Methods in Applied Mechanics and Engineering https://doi.org/10.1016/j.cma.2020.112982 Publication ID: 68885

Joshua Hanson, Pavel Bochev, Biliana Paskaleva, (2020). Learning Compact Physics-Aware Photocurrent Models Using Dynamic Mode Decomposition https://doi.org/10.1002/sam.11485 Publication ID: 74536

Karthik Aadithya, Paul Kuberry, Biliana Paskaleva, Pavel Bochev, Kenneth Leeson, Alan Mar, Ting Mei, Eric Keiter, (2020). Data-Driven Compact Models for Circuit Design and Analysis https://www.osti.gov/servlets/purl/1810271 Publication ID: 74199

Pavel Bochev, (2020). Data driven photocurrent models https://www.osti.gov/servlets/purl/1804988 Publication ID: 73925

Nathaniel Trask, Pavel Bochev, Mauro Perego, (2020). A conservative, consistent, and scalable meshfree mimetic method Journal of Computational Physics https://doi.org/10.1016/j.jcp.2019.109187 Publication ID: 67460

Karthik Aadithya, Paul Kuberry, Eric Keiter, Pavel Bochev, Alan Mar, Ting Mei, Biliana Paskaleva, Kenneth Leeson, (2020). Using ML to Develop Compact Models https://www.osti.gov/servlets/purl/1779603 Publication ID: 73330

Paul Kuberry, Pavel Bochev, Kara Peterson, (2020). A virtual control, mesh-free coupling method for non-coincident interfaces Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018 https://www.osti.gov/servlets/purl/1525927 Publication ID: 62466

Paul Kuberry, Mauro Perego, Nathaniel Trask, Pavel Bochev, (2020). Field reconstruction from Raviart-Thomas Nedelec and finite volume degrees-of-freedom using Generalized Moving Least Squares https://www.osti.gov/servlets/purl/1761038 Publication ID: 70722

Pavel Bochev, N. Trask, Paul Kuberry, Mauro Perego, (2020). Mesh-Hardened Finite Element Analysis Through a Generalized Moving Least-Squares Approximation of Variational Problems Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) https://doi.org/10.1007/978-3-030-41032-2_7 Publication ID: 67278

Marcelino Anguiano, Paul Kuberry, Pavel Bochev, Arif Masud, (2020). Synchronous and concurrent multidomain computing method for cloud computing platforms SIAM Journal on Scientific Computing https://doi.org/10.1137/20m1349278 Publication ID: 79092

Denis Ridzal, Pavel Bochev, (2020). Optimization-based property-preserving solution recovery for fault-tolerant scalar transport Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018 https://www.osti.gov/servlets/purl/1525952 Publication ID: 62461

Karthik Aadithya, Paul Kuberry, Biliana Paskaleva, Pavel Bochev, Kenneth Leeson, Alan Mar, Ting Mei, Eric Keiter, (2019). Development, Demonstration and Validation of Data-Driven Compact Diode Models for Circuit Simulation and Analysis https://doi.org/10.2172/1592881 Publication ID: 66892

Kenneth Sockwell, Paul Kuberry, Pavel Bochev, Nathaniel Trask, Kara Peterson, (2019). Bulk-Interface-Flux-Recovery (Bulk-IFR) Method for Coupling the Atmosphere-Ocean Interface https://www.osti.gov/servlets/purl/1642998 Publication ID: 65903

Marta D’Elia, Pavel Bochev, (2019). Formulation analysis and computation of an optimization-based local-to-nonlocal coupling method https://doi.org/10.2172/1572228 Publication ID: 65904

Pavel Bochev, Peter Bosler, Paul Kuberry, Mauro Perego, Kara Peterson, Nathaniel Trask, (2019). Compatible Particle Discretizations. Final LDRD Report https://doi.org/10.2172/1569143 Publication ID: 65024

Pavel Bochev, Nathaniel Trask, Mauro Perego, (2019). Mimetic meshfree methods or how to be compatible without a mesh https://www.osti.gov/servlets/purl/1641675 Publication ID: 70529

Pavel Bochev, Paul Kuberry, Nathaniel Trask, Mauro Perego, (2019). The amazing powers of Generalized Moving Least-Squares https://www.osti.gov/servlets/purl/1641676 Publication ID: 70530

Karthik Aadithya, Paul Kuberry, Eric Keiter, Pavel Bochev, Alan Mar, Ting Mei, Biliana Paskaleva, Kenneth Leeson, (2019). Data-driven Circuit Design From Electrical Measurement Data To Compact Device Models https://www.osti.gov/servlets/purl/1641510 Publication ID: 70299

Kara Peterson, Pavel Bochev, Paul Kuberry, (2019). Explicit synchronous partitioned algorithms for interface problems based on Lagrange multipliers Computers and Mathematics with Applications https://doi.org/10.1016/j.camwa.2018.09.045 Publication ID: 60611

Pavel Bochev, Kara Peterson, Paul Kuberry, Nathaniel Trask, (2019). Non-iterative partitioned methods based on monolithic formulations of the coupled problem https://www.osti.gov/servlets/purl/1641144 Publication ID: 69702

Mauro Perego, Pavel Bochev, Paul Kuberry, Nathaniel Trask, (2019). Generalized Moving Least Squares: Approximation Theory and Applications https://www.osti.gov/servlets/purl/1645573 Publication ID: 69710

Paul Kuberry, Mauro Perego, Nathaniel Trask, Pavel Bochev, (2019). The Compadre Toolkit for Native Degrees-of-Freedom https://www.osti.gov/servlets/purl/1641034 Publication ID: 69548

Nathaniel Trask, Pavel Bochev, Mauro Perego, (2019). Mimetic Conservation Principles for Meshfree Approximation https://www.osti.gov/servlets/purl/1640111 Publication ID: 68686

Pavel Bochev, Paul Kuberry, Kara Peterson, (2019). Explicit Partitioned Methods based on Monolithic Formulations of the Coupled Problem https://www.osti.gov/servlets/purl/1640129 Publication ID: 68717

Paul Kuberry, Mauro Perego, Nathaniel Trask, Pavel Bochev, (2019). Field reconstruction from native degrees-of-freedom using the Compadre Toolkit https://www.osti.gov/servlets/purl/1640167 Publication ID: 68779

Mauro Perego, Pavel Bochev, Peter Bosler, Paul Kuberry, Kara Peterson, Nathaniel Trask, (2019). Advances in the Approximation Theory of Generalized Moving Least Squares https://www.osti.gov/servlets/purl/1640218 Publication ID: 68848

Kara Peterson, Pavel Bochev, Paul Kuberry, Nathaniel Trask, (2019). Lagrange-Multiplier-Based Partitioned Method for Ocean-Atmosphere Coupling https://www.osti.gov/servlets/purl/1640221 Publication ID: 68854

Pavel Bochev, Nathaniel Trask, Paul Kuberry, Mauro Perego, (2019). Mesh-hardened finite element analysis through a Generalized Moving Least-Squares approximation of variational problems https://doi.org/10.1007/978-3-030-41032-2_7 Publication ID: 68604

Mauro Perego, Pavel Bochev, Nathaniel Trask, Peter Bosler, Paul Kuberry, Kara Peterson, (2019). Advances in the Approximation Theory for Generalized Moving Least Squares https://www.osti.gov/servlets/purl/1639699 Publication ID: 67960

Marta D’Elia, Pavel Bochev, David Littlewood, Mauro Perego, (2019). Optimization-based coupling of local and nonlocal models: Applications to Peridynamics Handbook of Nonlocal Continuum Mechanics for Materials and Structures https://www.osti.gov/biblio/1393319 Publication ID: 55462

Pavel Bochev, (2019). Optimization-based property-preserving methods https://www.osti.gov/servlets/purl/1595894 Publication ID: 64452

Paul Kuberry, Peter Bosler, Nathaniel Trask, Mauro Perego, Kara Peterson, Pavel Bochev, (2018). The Compadre Toolkit https://www.osti.gov/servlets/purl/1594258 Publication ID: 59467

Pavel Bochev, Nathaniel Trask, Paul Kuberry, Mauro Perego, Kara Peterson, Peter Bosler, (2018). Compatible meshless methods for DPEs https://www.osti.gov/servlets/purl/1806965 Publication ID: 59543

Nathaniel Trask, Mauro Perego, Pavel Bochev, (2018). Discretely conservative meshfree schemes for conservation laws https://www.osti.gov/servlets/purl/1806699 Publication ID: 63328

Mauro Perego, Pavel Bochev, Nathaniel Trask, Peter Bosler, Paul Kuberry, Kara Peterson, (2018). Advances in the Approximation Theory for Functional Reconstructions Using GMLS and Applications to Meshless Discretization of Differential Equations https://www.osti.gov/servlets/purl/1573545 Publication ID: 63442

Kara Peterson, Pavel Bochev, Paul Kuberry, (2018). Explicit Partitioned Methods for Interface Coupling https://www.osti.gov/servlets/purl/1574283 Publication ID: 63478

Kara Peterson, Pavel Bochev, Paul Kuberry, (2018). Explicit Partitioned Methods for Interface Coupling https://www.osti.gov/servlets/purl/1526419 Publication ID: 62555

Pavel Bochev, Mauro Perego, Marta D’Elia, Denis Ridzal, Kara Peterson, (2018). Optimization-based property preserving finite element methods for transport equations https://www.osti.gov/servlets/purl/1525706 Publication ID: 62428

Richard Kramer, Christopher Siefert, Thomas Voth, Pavel Bochev, (2018). Formulation and computation of dynamic, interface-compatible Whitney complexes in three dimensions Journal of Computational Physics https://doi.org/10.1016/j.jcp.2017.12.037 Publication ID: 64073

Paul Kuberry, Pavel Bochev, Kara Peterson, (2018). Mesh-tying via multiple-control PDE-constrained optimization and GMLS function reconstruction https://www.osti.gov/servlets/purl/1504320 Publication ID: 61298

Pavel Bochev, Paul Kuberry, Kara Peterson, (2018). A virtual control coupling approach for problems with non-coincident discrete interfaces Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) https://doi.org/10.1007/978-3-319-73441-5_15 Publication ID: 56320

Brian Hong, Mauro Perego, Pavel Bochev, Amalie Frischknecht, Edward Phillips, (2018). Towards a scalable multifidelity simulation approach for electrokinetic problems at the mesoscale Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) https://doi.org/10.1007/978-3-319-73441-5_16 Publication ID: 56247

Kara Peterson, Pavel Bochev, Nathaniel Trask, (2018). Improving the Material-Point Method with GMLS https://www.osti.gov/servlets/purl/1512652 Publication ID: 58561

James Cheung, Amalie Frischknecht, Mauro Perego, Pavel Bochev, (2017). A hybrid, coupled approach for modeling charged fluids from the nano to the mesoscale Journal of Computational Physics https://doi.org/10.1016/j.jcp.2017.07.030 Publication ID: 48379

Paul Kuberry, Pavel Bochev, Kara Peterson, Edward Phillips, (2017). Coupling Hyperbolic PDEs Over Non-Coincident Interfaces https://www.osti.gov/servlets/purl/1474028 Publication ID: 53073

Denis Ridzal, Marta D’Elia, Mauro Perego, Pavel Bochev, (2017). Property preserving finite element methods via constrained optimization https://www.osti.gov/servlets/purl/1513336 Publication ID: 53083

Nathaniel Trask, Pavel Bochev, Mauro Perego, (2017). Locally compatible meshless methods for PDEs https://www.osti.gov/servlets/purl/1471967 Publication ID: 58532

Kara Peterson, Denis Ridzal, Pavel Bochev, (2017). Optimization-based Tracer Transport https://www.osti.gov/servlets/purl/1471980 Publication ID: 58536

Kara Peterson, Pavel Bochev, Denis Ridzal, Mark Taylor, (2017). Optimization-Based Semi-Lagrangian Tracer Transport https://www.osti.gov/servlets/purl/1465013 Publication ID: 57961

Paul Kuberry, Pavel Bochev, Kara Peterson, Michael Wong, (2017). Bridging the gap: from algorithm development to mission impact a partitioned elastodynamics example https://www.osti.gov/servlets/purl/1465084 Publication ID: 57994

Pavel Bochev, (2017). Optimization-Based Property Preserving Methods or going boldly beyond compatible discretizations https://www.osti.gov/servlets/purl/1513615 Publication ID: 57113

Kara Peterson, Pavel Bochev, Paul Kuberry, (2017). Explicit Partitioned Methods for Coupled Problems Based on Lagrange Multipliers https://www.osti.gov/servlets/purl/1523700 Publication ID: 56903

Paul Kuberry, Pavel Bochev, Kara Peterson, (2017). An Optimization-Based Globally Flux-Conserving Coupling of Problems with Spatially Non-Coincident Interface Discretizations https://www.osti.gov/servlets/purl/1458183 Publication ID: 56697

Brian Hong, Mauro Perego, Pavel Bochev, Amalie Frischknecht, Edward Phillips, (2017). Towards a Scalable Multifidelity Simulation Approach for Electrokinetic Problems at the Mesoscale https://doi.org/10.1007/978-3-319-73441-5_16 Publication ID: 56709

Marta D’Elia, Pavel Bochev, Marta D’Elia, Mauro Perego, Denis Ridzal, (2017). Optimization-based property preserving finite element methods https://www.osti.gov/servlets/purl/1458218 Publication ID: 56710

Pavel Bochev, Paul Kuberry, Kara Peterson, (2017). An explicit partitioned elastodynamics method based on Lagrange Multipliers https://www.osti.gov/servlets/purl/1458082 Publication ID: 56608

Kara Peterson, Pavel Bochev, Mauro Perego, Xujiao Gao, (2017). Multiscale Stabilized Control Volume Finite Element Method for Advection-Diffusion https://www.osti.gov/servlets/purl/1456439 Publication ID: 55666

Kara Peterson, Pavel Bochev, Paul Kuberry, (2017). Mortar Flux Recover (MFR) Algorithm and Analysis https://www.osti.gov/servlets/purl/1427961 Publication ID: 55378

James Cheung, Amalie Frischknecht, Mauro Perego, Pavel Bochev, (2017). A Multifidelity Approach to Effectively Compute the Steady-State Flow Of Ionic Solutions https://www.osti.gov/servlets/purl/1429255 Publication ID: 55417

Paul Kuberry, Pavel Bochev, Kara Peterson, Edward Phillips, (2017). A Partitioned Method for Explicit Elastodynamics Based on a Generalized Dual Schur Complement https://www.osti.gov/servlets/purl/1456371 Publication ID: 55505

Marta D’Elia, Pavel Bochev, Mauro Perego, David Littlewood, (2017). Optimization based coupling for nonlocal and local models with applications to static peridynamics https://www.osti.gov/servlets/purl/1424841 Publication ID: 55060

David Littlewood, Marta D’Elia, Mauro Perego, Pavel Bochev, (2017). Optimization-Based Coupling for Local and Nonlocal Models https://www.osti.gov/servlets/purl/1424567 Publication ID: 55109

Paul Kuberry, Pavel Bochev, Kara Peterson, (2017). Optimization-Based Approach for Problems with Non-Conforming Interface Discretizations https://www.osti.gov/servlets/purl/1505690 Publication ID: 54110

Kara Peterson, Pavel Bochev, Mauro Perego, Xujiao Gao, (2017). Stabilized Control Volume Finite Element Method for Drift Diffusion https://www.osti.gov/servlets/purl/1524972 Publication ID: 54429

Pavel Bochev, Marta D’Elia, (2017). Formulation and Analysis of a coupling strategy for nonlocal and local models https://www.osti.gov/servlets/purl/1505476 Publication ID: 53015

Nathaniel Trask, Mauro Perego, Pavel Bochev, (2017). A high-order staggered meshless method for elliptic problems SIAM Journal on Scientific Computing https://doi.org/10.1137/16M1055992 Publication ID: 46929

Kara Peterson, Pavel Bochev, Paul Kuberry, (2016). Mortar Flux Recovery (MFR) Algorithm and Analysis https://www.osti.gov/servlets/purl/1400364 Publication ID: 47171

Amalie Frischknecht, James Cheung, Brian Hong, Mauro Perego, Pavel Bochev, (2016). Electrokinetic Models beyond Mean-Field Theory https://www.osti.gov/servlets/purl/1401931 Publication ID: 47208

Pavel Bochev, (2016). Advances in formula/on analysis and computa/on of concurrent coupling methods https://www.osti.gov/servlets/purl/1402328 Publication ID: 47236

David Littlewood, Marta D’Elia, Mauro Perego, Pavel Bochev, (2016). Optimization-Based Coupling for Local and Nonlocal Models https://www.osti.gov/servlets/purl/1390745 Publication ID: 52147

Paul Kuberry, Pavel Bochev, Kara Peterson, (2016). Explicit and Implicit Interface Coupling Approaches https://www.osti.gov/servlets/purl/1375103 Publication ID: 51582

Marta D’Elia, David Littlewood, Mauro Perego, Pavel Bochev, (2016). A COUPLING STRATEGY FOR LOCAL AND NONLOCAL MODELS with applications to static peridynamics https://www.osti.gov/servlets/purl/1373156 Publication ID: 51312

Pavel Bochev, James Cheung, Marta D’Elia, Amalie Frischknecht, Michael Parks, Mauro Perego, (2016). Coupling of Multi-fidelity Models: Applications to PNP-cDFT and local-nonlocal Poisson equations https://www.osti.gov/servlets/purl/1428032 Publication ID: 50761

Marta D’Elia, Mauro Perego, Pavel Bochev, David Littlewood, (2016). A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions Computers and Mathematics with Applications (Oxford) https://doi.org/10.1016/j.camwa.2015.12.006 Publication ID: 45172

Marc Gerritsma, Pavel Bochev, (2016). A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition Computers and Mathematics with Applications https://doi.org/10.1016/j.camwa.2016.01.033 Publication ID: 45175

Pavel Bochev, Denis Ridzal, (2016). Optimization-based additive decomposition of weakly coercive problems with applications Computers and Mathematics with Applications https://doi.org/10.1016/j.camwa.2015.12.032 Publication ID: 44430

Marta D’Elia, Mauro Perego, Pavel Bochev, David Littlewood, (2016). A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions Computers and Mathematics with Applications https://doi.org/10.1016/j.camwa.2015.12.006 Publication ID: 46234

Paul Kuberry, Pavel Bochev, (2016). An optimization-based approach to mesh tying and transmission problems https://www.osti.gov/servlets/purl/1368837 Publication ID: 50227

Paul Kuberry, Pavel Bochev, (2016). An optimization-based approach to mesh tying and transmission problems https://www.osti.gov/servlets/purl/1422058 Publication ID: 48948

Pavel Bochev, Denis Ridzal, (2016). "Optimization-based additive decomposition of weakly coercive problems with applications to iterative solver design https://www.osti.gov/servlets/purl/1366604 Publication ID: 49131

Pavel Bochev, (2016). Optimization-based property preserving methods or going boldly beyond compatible discretization https://www.osti.gov/servlets/purl/1338867 Publication ID: 46592

Derek Olson, Alexander Shapeev, Pavel Bochev, Mitchell Luskin, (2016). Analysis of an optimization-based atomistic-to-continuum coupling method for point defects ESAIM: Mathematical Modelling and Numerical Analysis https://doi.org/10.1137/13091734X Publication ID: 38888

Marta D’Elia, Pavel Bochev, (2015). Heterogeneous Domain Decomposition methods for Nonlocal problems https://www.osti.gov/servlets/purl/1336014 Publication ID: 41857

Xujiao Gao, Andy Huang, Kara Peterson, Gary Hennigan, Lawrence Musson, Pavel Bochev, (2015). Implementation of Different Stabilization Schemes in Charon Using Trilinos/Panzer https://www.osti.gov/servlets/purl/1331955 Publication ID: 46346

Mauro Perego, Marta D’Elia, Pavel Bochev, David Littlewood, (2015). A coupling strategy for Local and Nonlocal continuum models https://www.osti.gov/servlets/purl/1336328 Publication ID: 45994

Marta D’Elia, Mauro Perego, Pavel Bochev, David Littlewood, (2015). A coupling strategy for Local and Nonlocal continuum models https://www.osti.gov/servlets/purl/1289561 Publication ID: 44926

Marta D’Elia, Pavel Bochev, (2015). Formulation Analysis and Computation of an Optimization-Based Local to Nonlocal coupling method https://www.osti.gov/servlets/purl/1289562 Publication ID: 44927

Mauro Perego, Stephen Price, Matthew Hoffman, Andrew Salinger, Pavel Bochev, Max Gunzburger, (2015). Coupling of Momentum Balance and Thickness Evolution Equations for Ice Sheet Modeling https://www.osti.gov/servlets/purl/1312674 Publication ID: 45244

Kara Peterson, Marta D’Elia, Denis Ridzal, Pavel Bochev, Mikhail Shashkov, (2015). Optimization-based Mesh Correction https://www.osti.gov/servlets/purl/1326773 Publication ID: 45295

Pavel Bochev, (2015). Optimization-Based Property Preserving Methods or Going Boldly Beyond Compatible Discretizations https://www.osti.gov/servlets/purl/1331585 Publication ID: 44105

Pavel Bochev, Marta D’Elia, (2015). Optimization-based coupling of local and nonlocal continuum models: A divide and conquer approach for stable and physically consistent heterogeneous numerical models https://www.osti.gov/servlets/purl/1252913 Publication ID: 43341

Marta D’Elia, Pavel Bochev, (2015). An Optimization-Based Local to Nonlocal Coupling Method https://www.osti.gov/servlets/purl/1253081 Publication ID: 43394

Pavel Bochev, Scott Moe, Kara Peterson, Denis Ridzal, (2015). A Conservative Optimization-based Semi-Lagrangian Spectral Element Method for Passive Tracer Transport https://www.osti.gov/servlets/purl/1253083 Publication ID: 43396

Marta D’Elia, Pavel Bochev, (2015). An Optimization-Based coupling of Local and Nonlocal models https://www.osti.gov/servlets/purl/1253305 Publication ID: 43421

Pavel Bochev, Scott Moe, Kara Peterson, Denis Ridzal, (2015). A conservative, optimization-based semi-lagrangian spectral element method for passive tracer transport COUPLED PROBLEMS 2015 – Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering https://www.osti.gov/servlets/purl/1238306 Publication ID: 41486

Pavel Bochev, Paul Kuberry, (2015). A variational flux recovery approach for elastodynamics problems with interfaces PANACM 2015 – 1st Pan-American Congress on Computational Mechanics, in conjunction with the 11th Argentine Congress on Computational Mechanics, MECOM 2015 https://www.osti.gov/servlets/purl/1238224 Publication ID: 41511

Pavel Bochev, Marta D’Elia, (2015). An Optimization-Based Local to Nonlocal Coupling Method https://www.osti.gov/servlets/purl/1530976 Publication ID: 43050

Pavel Bochev, Paul Kuberry, (2015). A variational force recovery approach for elastodynamics problems with interfaces https://www.osti.gov/servlets/purl/1249293 Publication ID: 43163

Christopher Siefert, Richard Kramer, Pavel Bochev, Thomas Voth, (2015). Extended and Conformal Decomposition Finite Elements for 3D Compatible Discretizations https://www.osti.gov/servlets/purl/1241271 Publication ID: 42370

Pavel Bochev, Paul Kuberry, (2015). A new partitioned algorithm for explicit elastodynamics based on variational flux recovery https://www.osti.gov/servlets/purl/1882365 Publication ID: 42408

Kara Peterson, Denis Ridzal, Pavel Bochev, (2015). Feature-Preserving Finite Element Transport Across Interfaces: Part2, Direct Flux Recovery https://www.osti.gov/servlets/purl/1890367 Publication ID: 42426

Marc Gerritsma, Pavel Bochev, (2015). A locally conservative high-order least-squares formulation in curvilinear coordinates Lecture Notes in Computational Science and Engineering https://www.osti.gov/servlets/purl/1315264 Publication ID: 39037

Marta D’Elia, Pavel Bochev, (2015). Optimization-based coupling of nonlocal and local diffusion models Materials Research Society Symposium Proceedings https://doi.org/10.1557/opl.2015.109 Publication ID: 39911

Marta D’Elia, Pavel Bochev, (2014). Optimization?Based Coupling of Nonllocall and Locall diffusion models https://www.osti.gov/servlets/purl/1242780 Publication ID: 39758

Pavel Bochev, (2014). A spectral mimetic least-squares method Computers and Mathematics with Applications (Oxford) https://doi.org/10.1016/j.camwa.2014.09.014 Publication ID: 38821

Kara Peterson, Pavel Bochev, Mauro Perego, Xujiao Gao, (2014). Implementation of a Second-Order Stabilized CVFEM using Intrepid https://www.osti.gov/servlets/purl/1367642 Publication ID: 39418

Marta D’Elia, Pavel Bochev, (2014). Formulation analysis and computation of an Optimization Based Local to Nonlocal Coupling Method https://www.osti.gov/servlets/purl/1503141 Publication ID: 38969

Christopher Siefert, Pavel Bochev, Richard Kramer, Thomas Voth, (2014). Sub-Cell Resolution Techniques for Multi-Material Electromagnetics in Two and Three Dimensions https://www.osti.gov/servlets/purl/1241710 Publication ID: 38782

Christopher Siefert, Pavel Bochev, Richard Kramer, Thomas Voth, James Cox, (2014). Electromagnetic Extended Finite Elements for High-Fidelity Multimaterial Problems LDRD Final Report https://doi.org/10.2172/1322284 Publication ID: 38653

Kara Peterson, Pavel Bochev, Denis Ridzal, (2014). Optimization-Based Transport of Passive Tracers https://www.osti.gov/servlets/purl/1494442 Publication ID: 37853

Pavel Bochev, Mauro Perego, Xujiao Gao, Kara Peterson, (2014). A New Control Volume Finite Element Method for the Drift-Diffusion Equations on Unstructured Grids https://www.osti.gov/servlets/purl/1497520 Publication ID: 37357

Kara Peterson, Pavel Bochev, Denis Ridzal, (2014). Optimization-Based Tracer Transport on the Sphere https://www.osti.gov/servlets/purl/1142296 Publication ID: 40321

Pavel Bochev, Mauro Perego, Kara Peterson, (2014). FORMULATION AND ANALYSIS OF A PARAMETER-FREE STABILIZED FINITE ELEMENT METHOD SIAM Journal on Numerical Analysis https://www.osti.gov/biblio/1141394 Publication ID: 40210

Kara Peterson, Pavel Bochev, Denis Ridzal, (2014). Optimization-based conservative transport on the cubed-sphere grid Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) https://doi.org/10.1007/978-3-662-43880-0_22 Publication ID: 32564

Kara Peterson, Pavel Bochev, (2013). Efficient Parallel Algorithms for Climate Data Analysis https://www.osti.gov/servlets/purl/1121648 Publication ID: 31757

Pavel Bochev, Denis Ridzal, Kara Peterson, (2013). Perspectives on preservation of physical properties through optimization https://www.osti.gov/servlets/purl/1673222 Publication ID: 35902

Pavel Bochev, (2013). Development of an Optimization-Based Atomistic-to-Continuum Coupling Method https://www.osti.gov/servlets/purl/1113074 Publication ID: 35903

Allen Robinson, Sharon Petney, Richard Drake, V. Weirs, Brian Adams, Dena Vigil, John Carpenter, Christopher Garasi, Michael Wong, Joshua Robbins, Christopher Siefert, Otto Strack, Ann Wills, Timothy Trucano, Pavel Bochev, Randall Summers, James Stewart, Curtis Ober, William Rider, Thomas Haill, Raymond Lemke, Kyle Cochrane, Michael Desjarlais, Edward Love, Thomas Voth, Stewart Mosso, John Niederhaus, (2013). ALEGRA Update: Modernization and Resilience Progress https://www.osti.gov/servlets/purl/1115141 Publication ID: 35790

Denis Ridzal, Pavel Bochev, Kara Peterson, (2013). Fast optimization algorithms for feature-preserving solution transfer https://www.osti.gov/servlets/purl/1106591 Publication ID: 35030

Kara Peterson, Pavel Bochev, Denis Ridzal, (2013). Optimization-Based Transport on the Cubed Sphere Grid https://doi.org/10.1007/978-3-662-43880-0_22 Publication ID: 34818

Christopher Siefert, Pavel Bochev, Thomas Voth, Richard Kramer, (2013). Algebraically-Constrained Tied Heaviside Methods for Computational Electromagnetics https://www.osti.gov/servlets/purl/1666077 Publication ID: 34431

Christopher Siefert, Richard Kramer, Thomas Voth, Pavel Bochev, (2013). {Electromagnetic XFEM with Weak Discontinuities https://www.osti.gov/servlets/purl/1666079 Publication ID: 34434

Richard Kramer, Pavel Bochev, Christopher Siefert, Thomas 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://doi.org/10.1016/j.cma.2013.07.013 Publication ID: 34705

Kara Peterson, Pavel Bochev, (2013). Reducing uncertainty in high-resolution sea ice models https://doi.org/10.2172/1090226 Publication ID: 34463

Kara Peterson, Pavel Bochev, Denis Ridzal, (2013). Optimization-Based Transport on the Cubed Sphere Grid https://doi.org/10.1007/978-3-662-43880-0_22 Publication ID: 34464

Pavel Bochev, (2013). Optimization-Based Modeling A new strategy for predictive simulations of multiscale multiphysics problems https://www.osti.gov/servlets/purl/1080029 Publication ID: 33699

Pavel Bochev, Kara Peterson, Xujiao Gao, (2013). Control Volume Finite Element Method for Drift-diffusion Equations on General Unstructured Grids https://www.osti.gov/servlets/purl/1145245 Publication ID: 32565

Kara Peterson, Pavel Bochev, (2012). Update on Intrepid Algorithms https://www.osti.gov/biblio/1062286 Publication ID: 30801

Xujiao Gao, Pavel Bochev, Kara Peterson, Roger Pawlowski, Gary Hennigan, Lawrence Musson, (2012). DCA Tool Use in Charon – A Case Study: CVFEM-SG Implementation in Charon2 https://www.osti.gov/biblio/1062261 Publication ID: 30668

Pavel Bochev, Arlo Ames, (2012). An extended vector space model for information retrieval with generalized similarity measures : theory and applications https://doi.org/10.2172/1055624 Publication ID: 30229

Pavel Bochev, Denis Ridzal, (2012). Optimization-Based Transport on the Sphere https://www.osti.gov/biblio/1073220 Publication ID: 30049

Michael Parks, Pavel Bochev, (2012). Concurrent Coupling Techniques https://www.osti.gov/servlets/purl/1647948 Publication ID: 29876

Pavel Bochev, (2012). Predicting the Future Trajectory of Arctic Sea Ice: Reducing Uncertainty in High-Resolution Sea Ice Models https://www.osti.gov/servlets/purl/1658482 Publication ID: 29692

Pavel Bochev, Denis Ridzal, (2012). Optimization-based remap and transport: a divide and conquer strategy for feature-preserving discretizations Proposed for publication in Journal of Computational Physics. https://www.osti.gov/biblio/1073403 Publication ID: 29365

Pavel Bochev, (2012). A vector space model for information retrieval with generalized similarity measures https://www.osti.gov/servlets/purl/1117424 Publication ID: 28584

Christopher Siefert, Thomas Voth, Pavel Bochev, (2012). Electromagnetic eXtended Finite Elements for Accurate Resolution of Multi-Material Cells https://www.osti.gov/servlets/purl/1117558 Publication ID: 27663

Christopher Siefert, Pavel Bochev, Oksana Guba, (2012). Mimetic Least Squares Methods with Preconditioners for Darcy Flow https://www.osti.gov/servlets/purl/1657048 Publication ID: 27265

Pavel Bochev, (2012). Mathema’cal and algorithmic founda’ons for op’miza’on–based modeling (OBM) https://www.osti.gov/servlets/purl/1657066 Publication ID: 27384

Pavel Bochev, (2012). Mathematical and Algorithmic Foundations for Optimization-Based Modeling (OBM): a New Strategy for the Compatible Discretization and Scalable Solution of Multiphysics Problems https://www.osti.gov/servlets/purl/1657357 Publication ID: 27387

Pavel Bochev, James Lai, Luke Olson, (2012). A locally conservative, discontinuous least-squares finite element method for the Stokes equations International Journal for Numerical Methods in Fluids https://www.osti.gov/servlets/purl/1106380 Publication ID: 23582

Denis Ridzal, Pavel Bochev, (2011). A toolbox for a class of discontinuous Petrov-Galerkin methods using trilinos https://doi.org/10.2172/1029782 Publication ID: 24425

Kara Peterson, Pavel Bochev, (2011). Control Volume Finite Element Method with Multidimensional Edge Element Scharfetter-Gummel upwinding. Part 2. Computational Study https://doi.org/10.2172/1113868 Publication ID: 23842

Joseph Young, Denis Ridzal, Pavel Bochev, (2011). Optimization-Based Modeling: Part 3 – Monotone Methods for Transport without Limiters https://www.osti.gov/servlets/purl/1107675 Publication ID: 23049

Pavel Bochev, (2011). Control volume finite element method with multidimensional edge element Scharfetter-Gummel upwinding. Part 1, formulation https://doi.org/10.2172/1020517 Publication ID: 23050

Kara Peterson, Pavel Bochev, Denis Ridzal, (2011). Intrepid Functionality for Parvis https://www.osti.gov/servlets/purl/1671462 Publication ID: 22313

Denis Ridzal, Joseph Young, Pavel Bochev, Kara Peterson, (2011). Optimization-based modeling with applications to transport. Part 3. Computational studies https://www.osti.gov/servlets/purl/1108660 Publication ID: 22103

Denis Ridzal, Joseph Young, Pavel Bochev, (2011). Optimization-based modeling with applications to transport. Part 2. The optimization algorithm https://www.osti.gov/servlets/purl/1108772 Publication ID: 22012

Pavel Bochev, Biliana Paskaleva, (2010). Arctic Sea ice model sensitivities https://www.osti.gov/biblio/1036006 Publication ID: 21034

Pavel Bochev, Denis Ridzal, (2010). Solving PDEs with intrepid https://www.osti.gov/biblio/1030374 Publication ID: 20562

Pavel Bochev, Biliana Paskaleva, (2010). Development, sensitivity analysis, and uncertainty quantification of high-fidelity arctic sea ice models https://doi.org/10.2172/1007324 Publication ID: 19803

Pavel Bochev, (2010). Understanding the Evolution of Applied Mathematics in Industry https://www.osti.gov/servlets/purl/1677576 Publication ID: 19036

Pavel Bochev, (2010). Least-squares methods for geosciences : a new perspective https://www.osti.gov/biblio/1021134 Publication ID: 19079

Kara Peterson, Pavel Bochev, (2010). Arctic sea ice modeling with the material-point method https://www.osti.gov/biblio/1011619 Publication ID: 18083

Michael Parks, Pavel Bochev, Richard Lehoucq, (2010). Atomistic-to-Continuum Coupling Methods Based on Domain Decomposition https://www.osti.gov/servlets/purl/1681150 Publication ID: 18100

Denis Ridzal, Pavel Bochev, Guglielmo Scovazzi, Kara Peterson, (2010). Optimization-based constrained modeling : a new transport paradigm https://www.osti.gov/biblio/990087 Publication ID: 17607

Christopher Siefert, Pavel Bochev, Kara Peterson, (2009). An Algebraic Multigrid Method for Compatible Least-Squares Formulations of Div-Curl Equations https://www.osti.gov/servlets/purl/1142414 Publication ID: 16024

Pavel Bochev, Denis Ridzal, (2008). Finite element solution of optimal control problems arising in semiconductor modeling Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) https://www.osti.gov/servlets/purl/1147944 Publication ID: 9817

Pavel Bochev, (2008). Principles of compatible discretizations https://www.osti.gov/servlets/purl/1700619 Publication ID: 15293

Pavel Bochev, Jonathan Hu, Christopher Siefert, John Shadid, Paul Lin, (2008). Multigrid & Optimal Solvers https://www.osti.gov/servlets/purl/1141620 Publication ID: 14946

Denis Ridzal, Pavel Bochev, (2008). Scalable Solution Methods via Optimal Control Reformulations https://www.osti.gov/servlets/purl/1143044 Publication ID: 14127

Christopher Siefert, Raymond Tuminaro, Pavel Bochev, Erik Boman, Karen Devine, (2008). Recent Algorithmic (and Practical) Developments in ML https://www.osti.gov/servlets/purl/1145786 Publication ID: 13188

Christopher Siefert, Pavel Bochev, Jonathan Hu, Raymond Tuminaro, (2008). Performance and Scalability in Computational Electromagnetics at Sandia https://www.osti.gov/servlets/purl/1713030 Publication ID: 12554

Denis Ridzal, Pavel Bochev, (2007). Intrepid https://www.osti.gov/servlets/purl/1720262 Publication ID: 11937

Christopher Siefert, Pavel Bochev, Raymond Tuminaro, Jonathan Hu, (2007). Algebraic Multigrid and a Compatible Gauge Reformulation of Maxwell’s Equations https://www.osti.gov/servlets/purl/1146660 Publication ID: 12209

Pavel Bochev, Samuel Collis, Reese Jones, Richard Lehoucq, Michael Parks, Guglielmo Scovazzi, Stewart Silling, J. Templeton, (2007). A mathematical framework for multiscale science and engineering : the variational multiscale method and interscale transfer operators https://doi.org/10.2172/922756 Publication ID: 11435

Richard Lehoucq, Pavel Bochev, (2007). On stabilized finite element for the Stokes problem in the small time step limit https://www.osti.gov/servlets/purl/1716675 Publication ID: 11262

Pavel Bochev, Michael Parks, (2007). Bridging methods for coupling atomistic and continuum models https://www.osti.gov/servlets/purl/1147195 Publication ID: 11049

Raymond Tuminaro, Christopher Siefert, Pavel Bochev, (2007). Compatible Gauge Approaches for H(div) Equations https://www.osti.gov/servlets/purl/1721468 Publication ID: 11050

Pavel Bochev, Michael Parks, (2007). ON ATOMISTIC-TO-CONTINUUM (ATC) COUPLING BY BLENDING Multiscale Modeling and Simulation https://www.osti.gov/biblio/1147443 Publication ID: 10934

Pavel Bochev, (2007). Order verification – facts and fiction https://www.osti.gov/servlets/purl/1147624 Publication ID: 10935

Richard Lehoucq, Pavel Bochev, (2007). Relating Atomistic-to-Continuum (AtC) Coupling and Domain Decomposition https://www.osti.gov/servlets/purl/1141448 Publication ID: 10540

Pavel Bochev, (2007). Mimetic discretizations and what they can do for you https://www.osti.gov/servlets/purl/1141640 Publication ID: 9894

Michael Parks, Richard Lehoucq, Pavel Bochev, (2007). Connecting Domain Decomposition and Atomistic-to-Continuum (AtC) Coupling https://www.osti.gov/servlets/purl/1723060 Publication ID: 9624

Pavel Bochev, Raymond Tuminaro, Jonathan Hu, (2007). An algebraic multigrid approach based on a compatible gauge reformulation of Maxwell’s equations Proposed for publication in SIAM Journal on Scientific Computing. https://www.osti.gov/biblio/908080 Publication ID: 9237

Denis Ridzal, Pavel Bochev, (2007). A Comparative Study of Galerkin and Mixed Galerkin Methods in Optimal Control Problems with Applications to Semiconductor Modeling https://www.osti.gov/servlets/purl/1157542 Publication ID: 9319

Christopher Siefert, Pavel Bochev, Jonathan Hu, Raymond Tuminaro, (2007). Algebraic Multigrid and Algebraic Reformulations of the Eddy Current Equations https://www.osti.gov/servlets/purl/1143320 Publication ID: 8957

Pavel Bochev, Clark Dohrmann, Max Gunzburger, (2006). Stabilization of low-order mixed finite elements for the stokes equations SIAM Journal on Numerical Analysis https://www.osti.gov/biblio/952798 Publication ID: 2992

Raymond Tuminaro, Pavel Bochev, Jonathan Hu, (2006). AMG and a Discrete Reformulation for Maxwell’s Equations https://www.osti.gov/servlets/purl/1724653 Publication ID: 8225

Michael Parks, Pavel Bochev, Richard Lehoucq, (2006). Relating Atomistic-to-Continuum Coupling and Domain Decomposition https://www.osti.gov/servlets/purl/1264727 Publication ID: 7528

Thomas Hughes, Guglielmo Scovazzi, Pavel Bochev, Annalisa Buffa, (2006). A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method Computer Methods in Applied Mechanics and Engineering https://www.osti.gov/biblio/989373 Publication ID: 4880

Guglielmo Scovazzi, Pavel Bochev, Samuel Collis, (2006). The variational multiscale framework for discontinuous Galerkin methods https://www.osti.gov/biblio/943895 Publication ID: 6774

David Day, Pavel Bochev, Chester Weiss, Allen Robinson, (2005). Geophysical subsurface imaging and interface identification https://doi.org/10.2172/875615 Publication ID: 6099

Pavel Bochev, (2005). On least-squares variational principles for the discretization of optimization and control problems Proposed for publication in Methods and Applications of Analysis. https://doi.org/10.4310/MAA.2005.v12.n4.a3 Publication ID: 5946

Guglielmo Scovazzi, Pavel Bochev, (2005). A multiscale discontinuous galerkin method with the computational structure of a continuous galerkin method https://www.osti.gov/biblio/967818 Publication ID: 5843

Pavel Bochev, (2005). Application of uncertainty propagation and sensitivity analysis in validation https://www.osti.gov/biblio/969880 Publication ID: 5333

Pavel Bochev, (2005). Applications of algebraic topology to compatible spatial discretizations https://www.osti.gov/biblio/969879 Publication ID: 5334

Guglielmo Scovazzi, Pavel Bochev, (2005). A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method https://www.osti.gov/biblio/987099 Publication ID: 4782

Pavel Bochev, (2004). Locally conservative least-squares finite element methods for Darcy flows Proposed for publication in Computer Methods in Applied Mechanics and Engineering. https://www.osti.gov/biblio/952103 Publication ID: 4225

Pavel Bochev, Clark Dohrmann, (2004). A comparative study of stabilized, equal-order finite element approximation of Darcy equations Proposed for publication in Applied Numerical Mathematics. https://www.osti.gov/biblio/964131 Publication ID: 3635

Pavel Bochev, (2004). Least-squares/penalty finite element methods for optimization and control problems https://www.osti.gov/biblio/957239 Publication ID: 3009

Pavel Bochev, Mark Christon, Samuel Collis, Richard Lehoucq, John Shadid, A. Slepoy, (2004). A mathematical framework for multiscale science and engineering : the variational multiscale method and interscale transfer operators https://doi.org/10.2172/975255 Publication ID: 3118

Pavel Bochev, Pavel Bochev, Max Gunzburger, John Shadid, (2003). Stability of Streamline Upwind Petrov-Galerkin (SUPG) finite elements for transient advection-diffusion problems Proposed for publication in Journal of Computer Methods in Application and Mechanical Engineering. https://www.osti.gov/biblio/1005399 Publication ID: 2670

Pavel Bochev, Pavel Bochev, Max Gunzburger, (2003). On least-squares methods for the Kelvin principle Proposed for publication in SIAM Journal of Numerical Analysis. https://www.osti.gov/biblio/993894 Publication ID: 2371

Pavel Bochev, Pavel Bochev, (2003). Analysis and computation of least-squares methods for a compressible Stokes problem Proposed for publication in SIAM Journal of Numerical Analysis. https://www.osti.gov/biblio/923568 Publication ID: 2066

Pavel Bochev, Pavel Bochev, (2003). Least -squares finite element methods for optimization and control problems for the Stokes equations Proposed for publication in Journal of Computers and Mathematics with Applications. https://www.osti.gov/biblio/917152 Publication ID: 1834

Pavel Bochev, Pavel Bochev, Max Gunzburger, John Shadid, (2002). On inf-sup stabilized finite element methods for transient problems Proposed for publication in Computer Methods in Applied Mechanics and Engineering. https://www.osti.gov/biblio/913226 Publication ID: 1684

Pavel Bochev, Allen Robinson, (2001). Vector Potentials, Gauges and Edge Elements: Matching Algorithms with the Physics of Eddy Currents in Inhomogeneous Conductors https://www.osti.gov/biblio/784038 Publication ID: 1206

Showing Results. Show More Publications

Projects

Coupling Approaches for Next Generation Architectures (CANGA)

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, "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