Pavel B. Bochev

Computing Research

Author profile picture

Computing Research

pbboche@sandia.gov

(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

  • de Castro, A., Kuberry, P., Tezaur, I., Bochev, P., & Bochev, P. (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
  • D’Elia, M., Bochev, P., Foster, J., Glusa, C., Gulian, M., Gunzburger, M., Trageser, J., Kuhlman, K., Martinez, M., Najm, H.N., Silling, S., Tupek, M., Xu, X., & Xu, X. (2022). Mathematical Foundations for Nonlocal Interface Problems: Multiscale Simulations of Heterogeneous Materials (Final LDRD Report). https://doi.org/10.2172/1888162 Publication ID: 80232
  • Mahadevan, V.S., Guerra, J.E., Jiao, X., Kuberry, P., Li, Y., Ullrich, P., Marsico, D., Jacob, R., Bochev, P., Jones, P., & Jones, P. (2022). Metrics for Intercomparison of Remapping Algorithms (MIRA) protocol applied to Earth system models. Geoscientific Model Development, 15(17), pp. 6601-6635. https://doi.org/10.5194/gmd-15-6601-2022 Publication ID: 80860
  • D’Elia, M., Bochev, P., Perego, M., Trageser, J., Littlewood, D., & Littlewood, D. (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
  • Sockwell, K., Kuberry, P., Tucker, J., Bochev, P., & Bochev, P. (2021). Automated Discovery of DOminaNt physics Informed Surrogates (ADDONIS) Framework [Presentation]. https://www.osti.gov/biblio/1894021 Publication ID: 76392
  • Hembree, C., Hanson, J., Paskaleva, B., Bochev, P., Keiter, E., Mar, A., Mei, T., & Mei, T. (2021). Semiconductor Device Models Constructed Using Simple Elements and Auxiliary Dynamics [Conference Presenation]. https://doi.org/10.2172/1890913 Publication ID: 75902
  • Kuberry, P., Mei, T., Keiter, E., Paskaleva, B., Bochev, P., Hanson, J., & Hanson, J. (2021). Xyce Python Model Interpreter (Xyce-PyMi) for enabling ML advancements in production circuit simulation software [Conference Presenation]. https://doi.org/10.2172/1889549 Publication ID: 75928
  • Hanson, J., Paskaleva, B., Bochev, P., Keiter, E., Hembree, C., Kuberry, P., & Kuberry, P. (2021). A Numerical Compact Photocurrent Model and its Implementation via Xyce-PyMi [Conference Presenation]. https://doi.org/10.2172/1876997 Publication ID: 79274
  • Sockwell, K., Bochev, P., Peterson, K., Kuberry, P., & Kuberry, P. (2021). The Interface-Flux-Recovery (IFR) Methodfor Conservative and Stable Coupling Schemesin Geophysical Fluids and Mechanics [Conference Presenation]. https://doi.org/10.2172/1877832 Publication ID: 78801
  • Bochev, P. (2021). A hybrid analytic-numerical compact model for radiation-induced photocurrent effects [Presentation]. https://www.osti.gov/biblio/1884185 Publication ID: 78609
  • Kuberry, P., Peterson, K., Bochev, P., & Bochev, P. (2021). Generalized Moving Least Squares (GMLS) with Clip and Assured Sum (CAAS) Post-processing for Earth System Remap [Conference Presenation]. https://doi.org/10.2172/1854070 Publication ID: 77433
  • D’Elia, M., Bochev, P., & Bochev, P. (2021). Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method. Results in Applied Mathematics, 9. https://doi.org/10.1016/j.rinam.2020.100129 Publication ID: 53184
  • Sockwell, K., Peterson, K., Bochev, P., Kuberry, P., & Kuberry, P. (2020). Bulk-Interface-Flux-Recovery (Bulk-IFR) Methodfor Coupling the Atmosphere-Ocean Interface [Conference Presenation]. https://doi.org/10.2172/1832721 Publication ID: 71898
  • Sockwell, K.C., Peterson, K., Kuberry, P., Bochev, P., Trask, N., & Trask, N. (2020). Interface Flux Recovery coupling method for the ocean–atmosphere system. Results in Applied Mathematics, 8. https://doi.org/10.1016/j.rinam.2020.100110 Publication ID: 73208
  • Kuberry, P., Trask, N., Koester, J.J., Bochev, P., & Bochev, P. (2020). Regression Based Approach for Robust Finite Element Analysis on Arbitrary Grids (REBAR) [Conference Poster]. https://www.osti.gov/biblio/1822641 Publication ID: 70985
  • Bochev, P., Ridzal, D., D’Elia, M., Perego, M., Peterson, K., & Peterson, K. (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, 367. https://doi.org/10.1016/j.cma.2020.112982 Publication ID: 68885
  • Hanson, J., Bochev, P., Paskaleva, B., & Paskaleva, B. (2020). Learning Compact Physics-Aware Photocurrent Models Using Dynamic Mode Decomposition [Presentation]. https://doi.org/10.1002/sam.11485 Publication ID: 74536
  • Aadithya, K., Kuberry, P., Paskaleva, B., Bochev, P., Leeson, K., Mar, A., Mei, T., Keiter, E., & Keiter, E. (2020). Data-Driven Compact Models for Circuit Design and Analysis [Conference Poster]. https://www.osti.gov/biblio/1810271 Publication ID: 74199
  • Bochev, P. (2020). Data driven photocurrent models [Presentation]. https://www.osti.gov/biblio/1804988 Publication ID: 73925
  • Trask, N., Bochev, P., Perego, M., & Perego, M. (2020). A conservative, consistent, and scalable meshfree mimetic method. Journal of Computational Physics, 409. https://doi.org/10.1016/j.jcp.2019.109187 Publication ID: 67460
  • Aadithya, K., Kuberry, P., Keiter, E., Bochev, P., Mar, A., Mei, T., Paskaleva, B., Leeson, K., & Leeson, K. (2020). Using ML to Develop Compact Models [Presentation]. https://www.osti.gov/biblio/1779603 Publication ID: 73330
  • Ridzal, D., Bochev, P., & Bochev, P. (2020). Optimization-based property-preserving solution recovery for fault-tolerant scalar transport [Conference Poster]. 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.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081059417&origin=inward Publication ID: 62461
  • Kuberry, P., Bochev, P., Peterson, K., & Peterson, K. (2020). A virtual control, mesh-free coupling method for non-coincident interfaces [Conference Poster]. 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.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081063173&origin=inward Publication ID: 62466
  • Bochev, P., Trask, N., Kuberry, P., Perego, M., & Perego, M. (2020). Mesh-Hardened Finite Element Analysis Through a Generalized Moving Least-Squares Approximation of Variational Problems [Conference Poster]. 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
  • Kuberry, P., Perego, M., Trask, N., Bochev, P., & Bochev, P. (2020). Field reconstruction from Raviart-Thomas Nedelec and finite volume degrees-of-freedom using Generalized Moving Least Squares [Conference Poster]. https://www.osti.gov/biblio/1761038 Publication ID: 70722
  • Anguiano, M., Kuberry, P., Bochev, P., Masud, A., & Masud, A. (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
  • Aadithya, K., Kuberry, P., Paskaleva, B., Bochev, P., Leeson, K., Mar, A., Mei, T., Keiter, E., & Keiter, E. (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
  • Sockwell, K., Kuberry, P., Bochev, P., Trask, N., Peterson, K., & Peterson, K. (2019). Bulk-Interface-Flux-Recovery (Bulk-IFR) Method for Coupling the Atmosphere-Ocean Interface [Conference Poster]. https://www.osti.gov/biblio/1642998 Publication ID: 65903
  • D’Elia, M., Bochev, P., & Bochev, P. (2019). Formulation analysis and computation of an optimization-based local-to-nonlocal coupling method. https://doi.org/10.2172/1572228 Publication ID: 65904
  • Bochev, P., Bosler, P., Kuberry, P., Perego, M., Peterson, K., Trask, N., & Trask, N. (2019). Compatible Particle Discretizations. Final LDRD Report. https://doi.org/10.2172/1569143 Publication ID: 65024
  • Aadithya, K., Kuberry, P., Keiter, E., Bochev, P., Mar, A., Mei, T., Paskaleva, B., Leeson, K., & Leeson, K. (2019). Data-driven Circuit Design From Electrical Measurement Data To Compact Device Models [Conference Poster]. https://www.osti.gov/biblio/1641510 Publication ID: 70299
  • Bochev, P., Trask, N., Perego, M., & Perego, M. (2019). Mimetic meshfree methods or how to be compatible without a mesh [Conference Poster]. https://www.osti.gov/biblio/1641675 Publication ID: 70529
  • Bochev, P., Kuberry, P., Trask, N., Perego, M., & Perego, M. (2019). The amazing powers of Generalized Moving Least-Squares [Conference Poster]. https://www.osti.gov/biblio/1641676 Publication ID: 70530
  • Peterson, K., Bochev, P., Kuberry, P., & Kuberry, P. (2019). Explicit synchronous partitioned algorithms for interface problems based on Lagrange multipliers. Computers and Mathematics with Applications, 78(2), pp. 459-482. https://doi.org/10.1016/j.camwa.2018.09.045 Publication ID: 60611
  • Kuberry, P., Perego, M., Trask, N., Bochev, P., & Bochev, P. (2019). The Compadre Toolkit for Native Degrees-of-Freedom [Conference Poster]. https://www.osti.gov/biblio/1641034 Publication ID: 69548
  • Bochev, P., Peterson, K., Kuberry, P., Trask, N., & Trask, N. (2019). Non-iterative partitioned methods based on monolithic formulations of the coupled problem [Conference Poster]. https://www.osti.gov/biblio/1641144 Publication ID: 69702
  • Perego, M., Bochev, P., Kuberry, P., Trask, N., & Trask, N. (2019). Generalized Moving Least Squares: Approximation Theory and Applications [Presentation]. https://www.osti.gov/biblio/1645573 Publication ID: 69710
  • Bochev, P., Trask, N., Kuberry, P., Perego, M., & Perego, M. (2019). Mesh-hardened finite element analysis through a Generalized Moving Least-Squares approximation of variational problems [Conference Poster]. https://doi.org/10.1007/978-3-030-41032-2_7 Publication ID: 68604
  • Trask, N., Bochev, P., Perego, M., & Perego, M. (2019). Mimetic Conservation Principles for Meshfree Approximation [Conference Poster]. https://www.osti.gov/biblio/1640111 Publication ID: 68686
  • Bochev, P., Kuberry, P., Peterson, K., & Peterson, K. (2019). Explicit Partitioned Methods based on Monolithic Formulations of the Coupled Problem [Conference Poster]. https://www.osti.gov/biblio/1640129 Publication ID: 68717
  • Kuberry, P., Perego, M., Trask, N., Bochev, P., & Bochev, P. (2019). Field reconstruction from native degrees-of-freedom using the Compadre Toolkit [Conference Poster]. https://www.osti.gov/biblio/1640167 Publication ID: 68779
  • Perego, M., Bochev, P., Bosler, P., Kuberry, P., Peterson, K., Trask, N., & Trask, N. (2019). Advances in the Approximation Theory of Generalized Moving Least Squares [Conference Poster]. https://www.osti.gov/biblio/1640218 Publication ID: 68848
  • Peterson, K., Bochev, P., Kuberry, P., Trask, N., & Trask, N. (2019). Lagrange-Multiplier-Based Partitioned Method for Ocean-Atmosphere Coupling [Conference Poster]. https://www.osti.gov/biblio/1640221 Publication ID: 68854
  • Perego, M., Bochev, P., Trask, N., Bosler, P., Kuberry, P., Peterson, K., & Peterson, K. (2019). Advances in the Approximation Theory for Generalized Moving Least Squares [Conference Poster]. https://www.osti.gov/biblio/1639699 Publication ID: 67960
  • D’Elia, M., Bochev, P., Littlewood, D., Perego, M., & Perego, M. (2019). Optimization-based coupling of local and nonlocal models: Applications to Peridynamics. Handbook of Nonlocal Continuum Mechanics for Materials and Structures. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079581224&origin=inward Publication ID: 55462
  • Bochev, P. (2019). Optimization-based property-preserving methods [Conference Poster]. https://www.osti.gov/biblio/1595894 Publication ID: 64452
  • Kuberry, P., Bosler, P., Trask, N., Perego, M., Peterson, K., Bochev, P., & Bochev, P. (2018). The Compadre Toolkit [Conference Poster]. https://www.osti.gov/biblio/1594258 Publication ID: 59467
  • Bochev, P., Trask, N., Kuberry, P., Perego, M., Peterson, K., Bosler, P., & Bosler, P. (2018). Compatible meshless methods for DPEs [Conference Poster]. https://www.osti.gov/biblio/1806965 Publication ID: 59543
  • Trask, N., Perego, M., Bochev, P., & Bochev, P. (2018). Discretely conservative meshfree schemes for conservation laws [Conference Poster]. https://www.osti.gov/biblio/1806699 Publication ID: 63328
  • Perego, M., Bochev, P., Trask, N., Bosler, P., Kuberry, P., Peterson, K., & Peterson, K. (2018). Advances in the Approximation Theory for Functional Reconstructions Using GMLS and Applications to Meshless Discretization of Differential Equations [Conference Poster]. https://www.osti.gov/biblio/1573545 Publication ID: 63442
  • Peterson, K., Bochev, P., Kuberry, P., & Kuberry, P. (2018). Explicit Partitioned Methods for Interface Coupling [Conference Poster]. https://www.osti.gov/biblio/1574283 Publication ID: 63478
  • Bochev, P., Perego, M., D’Elia, M., Ridzal, D., Peterson, K., & Peterson, K. (2018). Optimization-based property preserving finite element methods for transport equations [Conference Poster]. https://www.osti.gov/biblio/1525706 Publication ID: 62428
  • Peterson, K., Bochev, P., Kuberry, P., & Kuberry, P. (2018). Explicit Partitioned Methods for Interface Coupling [Conference Poster]. https://www.osti.gov/biblio/1526419 Publication ID: 62555
  • Kramer, R., Siefert, C., Voth, T., Bochev, P., & Bochev, P. (2018). Formulation and computation of dynamic, interface-compatible Whitney complexes in three dimensions. Journal of Computational Physics, 359, pp. 45-76. https://doi.org/10.1016/j.jcp.2017.12.037 Publication ID: 64073
  • Kuberry, P., Bochev, P., Peterson, K., & Peterson, K. (2018). Mesh-tying via multiple-control PDE-constrained optimization and GMLS function reconstruction [Conference Poster]. https://www.osti.gov/biblio/1504320 Publication ID: 61298
  • Hong, B.D., Perego, M., Bochev, P., Frischknecht, A., Phillips, E., & Phillips, E. (2018). Towards a scalable multifidelity simulation approach for electrokinetic problems at the mesoscale [Conference Poster]. 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
  • Bochev, P., Kuberry, P., Peterson, K., & Peterson, K. (2018). A virtual control coupling approach for problems with non-coincident discrete interfaces [Conference Poster]. 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
  • Peterson, K., Bochev, P., Trask, N., & Trask, N. (2018). Improving the Material-Point Method with GMLS [Presentation]. https://www.osti.gov/biblio/1512652 Publication ID: 58561
  • Cheung, J., Frischknecht, A., Perego, M., Bochev, P., & Bochev, P. (2017). A hybrid, coupled approach for modeling charged fluids from the nano to the mesoscale. Journal of Computational Physics, 348, pp. 364-384. https://doi.org/10.1016/j.jcp.2017.07.030 Publication ID: 48379
  • Kuberry, P., Bochev, P., Peterson, K., Phillips, E., & Phillips, E. (2017). Coupling Hyperbolic PDEs Over Non-Coincident Interfaces [Conference Poster]. https://www.osti.gov/biblio/1474028 Publication ID: 53073
  • Ridzal, D., D’Elia, M., Perego, M., Bochev, P., & Bochev, P. (2017). Property preserving finite element methods via constrained optimization [Conference Poster]. https://www.osti.gov/biblio/1513336 Publication ID: 53083
  • Trask, N., Bochev, P., Perego, M., & Perego, M. (2017). Locally compatible meshless methods for PDEs [Conference Poster]. https://www.osti.gov/biblio/1471967 Publication ID: 58532
  • Peterson, K., Ridzal, D., Bochev, P., & Bochev, P. (2017). Optimization-based Tracer Transport [Conference Poster]. https://www.osti.gov/biblio/1471980 Publication ID: 58536
  • Peterson, K., Bochev, P., Ridzal, D., Taylor, M., & Taylor, M. (2017). Optimization-Based Semi-Lagrangian Tracer Transport [Presentation]. https://www.osti.gov/biblio/1465013 Publication ID: 57961
  • Kuberry, P., Bochev, P., Peterson, K., Wong, M., & Wong, M. (2017). Bridging the gap: from algorithm development to mission impact a partitioned elastodynamics example [Conference Poster]. https://www.osti.gov/biblio/1465084 Publication ID: 57994
  • Kuberry, P., Bochev, P., Peterson, K., & Peterson, K. (2017). An Optimization-Based Globally Flux-Conserving Coupling of Problems with Spatially Non-Coincident Interface Discretizations [Conference Poster]. https://www.osti.gov/biblio/1458183 Publication ID: 56697
  • Hong, B., Perego, M., Bochev, P., Frischknecht, A., Phillips, E., & Phillips, E. (2017). Towards a Scalable Multifidelity Simulation Approach for Electrokinetic Problems at the Mesoscale [Conference Poster]. https://doi.org/10.1007/978-3-319-73441-5_16 Publication ID: 56709
  • D’Elia, M., Bochev, P., D’Elia, M., Perego, M., Ridzal, D., & Ridzal, D. (2017). Optimization-based property preserving finite element methods [Conference Poster]. https://www.osti.gov/biblio/1458218 Publication ID: 56710
  • Peterson, K., Bochev, P., Kuberry, P., & Kuberry, P. (2017). Explicit Partitioned Methods for Coupled Problems Based on Lagrange Multipliers [Conference Poster]. https://www.osti.gov/biblio/1523700 Publication ID: 56903
  • Bochev, P. (2017). Optimization-Based Property Preserving Methods or going boldly beyond compatible discretizations [Conference Poster]. https://www.osti.gov/biblio/1513615 Publication ID: 57113
  • Bochev, P., Kuberry, P., Peterson, K., & Peterson, K. (2017). An explicit partitioned elastodynamics method based on Lagrange Multipliers [Conference Poster]. https://www.osti.gov/biblio/1458082 Publication ID: 56608
  • Peterson, K., Bochev, P., Perego, M., Gao, X., & Gao, X. (2017). Multiscale Stabilized Control Volume Finite Element Method for Advection-Diffusion [Conference Poster]. https://www.osti.gov/biblio/1456439 Publication ID: 55666
  • Peterson, K., Bochev, P., Kuberry, P., & Kuberry, P. (2017). Mortar Flux Recover (MFR) Algorithm and Analysis [Conference Poster]. https://www.osti.gov/biblio/1427961 Publication ID: 55378
  • Cheung, J., Frischknecht, A., Perego, M., Bochev, P., & Bochev, P. (2017). A Multifidelity Approach to Effectively Compute the Steady-State Flow Of Ionic Solutions [Conference Poster]. https://www.osti.gov/biblio/1429255 Publication ID: 55417
  • Kuberry, P., Bochev, P., Peterson, K., Phillips, E., & Phillips, E. (2017). A Partitioned Method for Explicit Elastodynamics Based on a Generalized Dual Schur Complement [Conference Poster]. https://www.osti.gov/biblio/1456371 Publication ID: 55505
  • Kuberry, P., Bochev, P., Peterson, K., & Peterson, K. (2017). Optimization-Based Approach for Problems with Non-Conforming Interface Discretizations [Conference Poster]. https://www.osti.gov/biblio/1505690 Publication ID: 54110
  • Peterson, K., Bochev, P., Perego, M., Gao, X., & Gao, X. (2017). Stabilized Control Volume Finite Element Method for Drift Diffusion [Presentation]. https://www.osti.gov/biblio/1524972 Publication ID: 54429
  • D’Elia, M., Bochev, P., Perego, M., Littlewood, D., & Littlewood, D. (2017). Optimization based coupling for nonlocal and local models with applications to static peridynamics [Conference Poster]. https://www.osti.gov/biblio/1424841 Publication ID: 55060
  • Littlewood, D., D’Elia, M., Perego, M., Bochev, P., & Bochev, P. (2017). Optimization-Based Coupling for Local and Nonlocal Models [Conference Poster]. https://www.osti.gov/biblio/1424567 Publication ID: 55109
  • Trask, N., Perego, M., Bochev, P., & Bochev, P. (2017). A high-order staggered meshless method for elliptic problems. SIAM Journal on Scientific Computing, 39(2), pp. A479-A502. https://doi.org/10.1137/16M1055992 Publication ID: 46929
  • Bochev, P., D’Elia, M., & D’Elia, M. (2017). Formulation and Analysis of a coupling strategy for nonlocal and local models [Conference Poster]. https://www.osti.gov/biblio/1505476 Publication ID: 53015
  • Peterson, K., Bochev, P., Kuberry, P., & Kuberry, P. (2016). Mortar Flux Recovery (MFR) Algorithm and Analysis [Conference Poster]. https://www.osti.gov/biblio/1400364 Publication ID: 47171
  • Frischknecht, A., Cheung, J., Hong, B., Perego, M., Bochev, P., & Bochev, P. (2016). Electrokinetic Models beyond Mean-Field Theory [Presentation]. https://www.osti.gov/biblio/1401931 Publication ID: 47208
  • Bochev, P. (2016). Advances in formula/on analysis and computa/on of concurrent coupling methods [Conference Poster]. https://www.osti.gov/biblio/1402328 Publication ID: 47236
  • Littlewood, D., D’Elia, M., Perego, M., Bochev, P., & Bochev, P. (2016). Optimization-Based Coupling for Local and Nonlocal Models [Conference Poster]. https://www.osti.gov/biblio/1390745 Publication ID: 52147
  • Kuberry, P., Bochev, P., Peterson, K., & Peterson, K. (2016). Explicit and Implicit Interface Coupling Approaches [Presentation]. https://www.osti.gov/biblio/1375103 Publication ID: 51582
  • D’Elia, M., Littlewood, D., Perego, M., Bochev, P., & Bochev, P. (2016). A COUPLING STRATEGY FOR LOCAL AND NONLOCAL MODELS with applications to static peridynamics [Conference Poster]. https://www.osti.gov/biblio/1373156 Publication ID: 51312
  • Bochev, P., Ridzal, D., & Ridzal, D. (2016). Optimization-based additive decomposition of weakly coercive problems with applications. Computers and Mathematics with Applications, 71(11), pp. 2140-2154. https://doi.org/10.1016/j.camwa.2015.12.032 Publication ID: 44430
  • D’Elia, M., Perego, M., Bochev, P., Littlewood, D., & Littlewood, D. (2016). A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions. Computers and Mathematics with Applications (Oxford), 71(11), pp. 2218-2230. https://doi.org/10.1016/j.camwa.2015.12.006 Publication ID: 45172
  • Gerritsma, M., Bochev, P., & Bochev, P. (2016). A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition. Computers and Mathematics with Applications, 71(11), pp. 2285-2300. https://doi.org/10.1016/j.camwa.2016.01.033 Publication ID: 45175
  • D’Elia, M., Perego, M., Bochev, P., Littlewood, D., & Littlewood, D. (2016). A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions [Conference Poster]. Computers and Mathematics with Applications. https://doi.org/10.1016/j.camwa.2015.12.006 Publication ID: 46234
  • Bochev, P., Cheung, J., D’Elia, M., Frischknecht, A., Parks, M., Perego, M., & Perego, M. (2016). Coupling of Multi-fidelity Models: Applications to PNP-cDFT and local-nonlocal Poisson equations [Presentation]. https://www.osti.gov/biblio/1428032 Publication ID: 50761
  • Kuberry, P., Bochev, P., & Bochev, P. (2016). An optimization-based approach to mesh tying and transmission problems [Conference Poster]. https://www.osti.gov/biblio/1368837 Publication ID: 50227
  • Kuberry, P., Bochev, P., & Bochev, P. (2016). An optimization-based approach to mesh tying and transmission problems [Conference Poster]. https://www.osti.gov/biblio/1422058 Publication ID: 48948
  • Bochev, P., Ridzal, D., & Ridzal, D. (2016). “Optimization-based additive decomposition of weakly coercive problems with applications to iterative solver design [Conference Poster]. https://www.osti.gov/biblio/1366604 Publication ID: 49131
  • Olson, D., Shapeev, A.V., Bochev, P., Luskin, M., & Luskin, M. (2016). Analysis of an optimization-based atomistic-to-continuum coupling method for point defects. ESAIM: Mathematical Modelling and Numerical Analysis, 50(1), pp. 1-41. https://doi.org/10.1137/13091734X Publication ID: 38888
  • Bochev, P. (2016). Optimization-based property preserving methods or going boldly beyond compatible discretization [Conference Poster]. https://www.osti.gov/biblio/1338867 Publication ID: 46592
  • D’Elia, M., Bochev, P., & Bochev, P. (2015). Heterogeneous Domain Decomposition methods for Nonlocal problems [Conference Poster]. https://www.osti.gov/biblio/1336014 Publication ID: 41857
  • Perego, M., D’Elia, M., Bochev, P., Littlewood, D., & Littlewood, D. (2015). A coupling strategy for Local and Nonlocal continuum models [Conference Poster]. https://www.osti.gov/biblio/1336328 Publication ID: 45994
  • Gao, X., Huang, A., Peterson, K., Hennigan, G., Musson, L., Bochev, P., & Bochev, P. (2015). Implementation of Different Stabilization Schemes in Charon Using Trilinos/Panzer [Conference Poster]. https://www.osti.gov/biblio/1331955 Publication ID: 46346
  • D’Elia, M., Perego, M., Bochev, P., Littlewood, D., & Littlewood, D. (2015). A coupling strategy for Local and Nonlocal continuum models [Conference Poster]. https://www.osti.gov/biblio/1289561 Publication ID: 44926
  • D’Elia, M., Bochev, P., & Bochev, P. (2015). Formulation Analysis and Computation of an Optimization-Based Local to Nonlocal coupling method [Conference Poster]. https://www.osti.gov/biblio/1289562 Publication ID: 44927
  • Perego, M., Price, S., Hoffman, M., Salinger, A., Bochev, P., Gunzburger, M., & Gunzburger, M. (2015). Coupling of Momentum Balance and Thickness Evolution Equations for Ice Sheet Modeling [Conference Poster]. https://www.osti.gov/biblio/1312674 Publication ID: 45244
  • Peterson, K., D’Elia, M., Ridzal, D., Bochev, P., Shashkov, M., & Shashkov, M. (2015). Optimization-based Mesh Correction [Conference Poster]. https://www.osti.gov/biblio/1326773 Publication ID: 45295
  • Bochev, P. (2015). Optimization-Based Property Preserving Methods or Going Boldly Beyond Compatible Discretizations [Presentation]. https://www.osti.gov/biblio/1331585 Publication ID: 44105
  • Bochev, P., D’Elia, M., & D’Elia, M. (2015). Optimization-based coupling of local and nonlocal continuum models: A divide and conquer approach for stable and physically consistent heterogeneous numerical models [Conference Poster]. https://www.osti.gov/biblio/1252913 Publication ID: 43341
  • D’Elia, M., Bochev, P., & Bochev, P. (2015). An Optimization-Based Local to Nonlocal Coupling Method [Conference Poster]. https://www.osti.gov/biblio/1253081 Publication ID: 43394
  • Bochev, P., Moe, S., Peterson, K., Ridzal, D., & Ridzal, D. (2015). A Conservative Optimization-based Semi-Lagrangian Spectral Element Method for Passive Tracer Transport [Conference Poster]. https://www.osti.gov/biblio/1253083 Publication ID: 43396
  • D’Elia, M., Bochev, P., & Bochev, P. (2015). An Optimization-Based coupling of Local and Nonlocal models [Presentation]. https://www.osti.gov/biblio/1253305 Publication ID: 43421
  • Bochev, P., Moe, S.A., Peterson, K., Ridzal, D., & Ridzal, D. (2015). A conservative, optimization-based semi-lagrangian spectral element method for passive tracer transport [Conference Poster]. COUPLED PROBLEMS 2015 – Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84938700932&origin=inward Publication ID: 41486
  • Bochev, P., Kuberry, P., & Kuberry, P. (2015). A variational flux recovery approach for elastodynamics problems with interfaces [Conference Poster]. PANACM 2015 – 1st Pan-American Congress on Computational Mechanics, in conjunction with the 11th Argentine Congress on Computational Mechanics, MECOM 2015. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84938717654&origin=inward Publication ID: 41511
  • Bochev, P., D’Elia, M., & D’Elia, M. (2015). An Optimization-Based Local to Nonlocal Coupling Method [Conference Poster]. https://www.osti.gov/biblio/1530976 Publication ID: 43050
  • Bochev, P., Kuberry, P., & Kuberry, P. (2015). A variational force recovery approach for elastodynamics problems with interfaces [Conference Poster]. https://www.osti.gov/biblio/1249293 Publication ID: 43163
  • Siefert, C., Kramer, R., Bochev, P., Voth, T., & Voth, T. (2015). Extended and Conformal Decomposition Finite Elements for 3D Compatible Discretizations [Conference Poster]. https://www.osti.gov/biblio/1241271 Publication ID: 42370
  • Bochev, P., Kuberry, P., & Kuberry, P. (2015). A new partitioned algorithm for explicit elastodynamics based on variational flux recovery [Conference Poster]. https://www.osti.gov/biblio/1882365 Publication ID: 42408
  • Peterson, K., Ridzal, D., Bochev, P., & Bochev, P. (2015). Feature-Preserving Finite Element Transport Across Interfaces: Part2, Direct Flux Recovery [Conference Poster]. https://www.osti.gov/biblio/1890367 Publication ID: 42426
  • Gerritsma, M., Bochev, P., & Bochev, P. (2015). A locally conservative high-order least-squares formulation in curvilinear coordinates [Conference Poster]. Lecture Notes in Computational Science and Engineering. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84952042269&origin=inward Publication ID: 39037
  • D’Elia, M., Bochev, P., & Bochev, P. (2015). Optimization-based coupling of nonlocal and local diffusion models [Conference Poster]. Materials Research Society Symposium Proceedings. https://doi.org/10.1557/opl.2015.109 Publication ID: 39911
  • Bochev, P. (2014). A spectral mimetic least-squares method. Computers and Mathematics with Applications (Oxford), 68(11), pp. 1480-1502. https://doi.org/10.1016/j.camwa.2014.09.014 Publication ID: 38821
  • D’Elia, M., Bochev, P., & Bochev, P. (2014). Optimization?Based Coupling of Nonllocall and Locall diffusion models [Conference Poster]. https://www.osti.gov/biblio/1242780 Publication ID: 39758
  • Peterson, K., Bochev, P., Perego, M., Gao, X., & Gao, X. (2014). Implementation of a Second-Order Stabilized CVFEM using Intrepid [Conference Poster]. https://www.osti.gov/biblio/1367642 Publication ID: 39418
  • D’Elia, M., Bochev, P., & Bochev, P. (2014). Formulation analysis and computation of an Optimization Based Local to Nonlocal Coupling Method [Presentation]. https://www.osti.gov/biblio/1503141 Publication ID: 38969
  • Siefert, C., Bochev, P., Kramer, R., Voth, T., Cox, J., & Cox, J. (2014). Electromagnetic Extended Finite Elements for High-Fidelity Multimaterial Problems LDRD Final Report. https://doi.org/10.2172/1322284 Publication ID: 38653
  • Siefert, C., Bochev, P., Kramer, R., Voth, T., & Voth, T. (2014). Sub-Cell Resolution Techniques for Multi-Material Electromagnetics in Two and Three Dimensions [Presentation]. https://www.osti.gov/biblio/1241710 Publication ID: 38782
  • Peterson, K., Bochev, P., Ridzal, D., & Ridzal, D. (2014). Optimization-Based Transport of Passive Tracers [Presentation]. https://www.osti.gov/biblio/1494442 Publication ID: 37853
  • Bochev, P., Perego, M., Gao, X., Peterson, K., & Peterson, K. (2014). A New Control Volume Finite Element Method for the Drift-Diffusion Equations on Unstructured Grids [Presentation]. https://www.osti.gov/biblio/1497520 Publication ID: 37357
  • Peterson, K., Bochev, P., Ridzal, D., & Ridzal, D. (2014). Optimization-Based Tracer Transport on the Sphere [Conference]. https://www.osti.gov/biblio/1142296 Publication ID: 40321
  • Bochev, P., Perego, M., Peterson, K., & Peterson, K. (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
  • Peterson, K., Bochev, P., Ridzal, D., & Ridzal, D. (2014). Optimization-based conservative transport on the cubed-sphere grid [Conference]. 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
  • Peterson, K., Bochev, P., & Bochev, P. (2013). Efficient Parallel Algorithms for Climate Data Analysis [Conference]. https://www.osti.gov/biblio/1121648 Publication ID: 31757
  • Robinson, A., Petney, S., Drake, R., Weirs, V.G., Adams, B., Vigil, D., Carpenter, J., Garasi, C., Wong, M., Robbins, J., Siefert, C., Strack, O., Wills, A., Trucano, T., Bochev, P., Summers, R., Stewart, J., Ober, C., Rider, W., … Niederhaus, J. (2013). ALEGRA Update: Modernization and Resilience Progress [Conference]. https://www.osti.gov/biblio/1115141 Publication ID: 35790
  • Bochev, P., Ridzal, D., Peterson, K., & Peterson, K. (2013). Perspectives on preservation of physical properties through optimization [Presentation]. https://www.osti.gov/biblio/1673222 Publication ID: 35902
  • Bochev, P. (2013). Development of an Optimization-Based Atomistic-to-Continuum Coupling Method [Conference]. https://www.osti.gov/biblio/1113074 Publication ID: 35903
  • Ridzal, D., Bochev, P., Peterson, K., & Peterson, K. (2013). Fast optimization algorithms for feature-preserving solution transfer [Conference]. https://www.osti.gov/biblio/1106591 Publication ID: 35030
  • Siefert, C., Bochev, P., Voth, T., Kramer, R., & Kramer, R. (2013). Algebraically-Constrained Tied Heaviside Methods for Computational Electromagnetics [Presentation]. https://www.osti.gov/biblio/1666077 Publication ID: 34431
  • Siefert, C., Kramer, R., Voth, T., Bochev, P., & Bochev, P. (2013). {Electromagnetic XFEM with Weak Discontinuities [Presentation]. https://www.osti.gov/biblio/1666079 Publication ID: 34434
  • Peterson, K., Bochev, P., & Bochev, P. (2013). Reducing uncertainty in high-resolution sea ice models. https://doi.org/10.2172/1090226 Publication ID: 34463
  • Peterson, K., Bochev, P., Ridzal, D., & Ridzal, D. (2013). Optimization-Based Transport on the Cubed Sphere Grid [Conference]. https://doi.org/10.1007/978-3-662-43880-0_22 Publication ID: 34464
  • Kramer, R., Bochev, P., Siefert, C., Voth, T., & Voth, T. (2013). An eXtended Finite Element Method with Algebraic Constraints (XFEM-AC) for problems with weak discontinuities. Computer Methods in Applied Mechanics and Engineering, 266. https://doi.org/10.1016/j.cma.2013.07.013 Publication ID: 34705
  • Peterson, K., Bochev, P., Ridzal, D., & Ridzal, D. (2013). Optimization-Based Transport on the Cubed Sphere Grid [Conference]. https://doi.org/10.1007/978-3-662-43880-0_22 Publication ID: 34818
  • Bochev, P. (2013). Optimization-Based Modeling A new strategy for predictive simulations of multiscale multiphysics problems [Conference]. https://www.osti.gov/biblio/1080029 Publication ID: 33699
  • Bochev, P., Peterson, K., Gao, X., & Gao, X. (2013). Control Volume Finite Element Method for Drift-diffusion Equations on General Unstructured Grids [Conference]. https://www.osti.gov/biblio/1145245 Publication ID: 32565
  • Gao, X., Bochev, P., Peterson, K., Pawlowski, R., Hennigan, G., Musson, L., & Musson, L. (2012). DCA Tool Use in Charon – A Case Study: CVFEM-SG Implementation in Charon2 [Conference]. https://www.osti.gov/biblio/1062261 Publication ID: 30668
  • Peterson, K., Bochev, P., & Bochev, P. (2012). Update on Intrepid Algorithms [Conference]. https://www.osti.gov/biblio/1062286 Publication ID: 30801
  • Parks, M., Bochev, P., & Bochev, P. (2012). Concurrent Coupling Techniques [Presentation]. https://www.osti.gov/biblio/1647948 Publication ID: 29876
  • Bochev, P., Ridzal, D., & Ridzal, D. (2012). Optimization-Based Transport on the Sphere [Conference]. https://www.osti.gov/biblio/1073220 Publication ID: 30049
  • Bochev, P., Ames, A., & Ames, A. (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
  • Bochev, P. (2012). Predicting the Future Trajectory of Arctic Sea Ice: Reducing Uncertainty in High-Resolution Sea Ice Models [Presentation]. https://www.osti.gov/biblio/1658482 Publication ID: 29692
  • Bochev, P., Ridzal, D., & Ridzal, D. (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
  • Bochev, P. (2012). A vector space model for information retrieval with generalized similarity measures [Conference]. https://www.osti.gov/biblio/1117424 Publication ID: 28584
  • Siefert, C., Voth, T., Bochev, P., & Bochev, P. (2012). Electromagnetic eXtended Finite Elements for Accurate Resolution of Multi-Material Cells [Conference]. https://www.osti.gov/biblio/1117558 Publication ID: 27663
  • Siefert, C., Bochev, P., Guba, O., & Guba, O. (2012). Mimetic Least Squares Methods with Preconditioners for Darcy Flow [Presentation]. https://www.osti.gov/biblio/1657048 Publication ID: 27265
  • Bochev, P. (2012). Mathema’cal and algorithmic founda’ons for op’miza’on–based modeling (OBM) [Presentation]. https://www.osti.gov/biblio/1657066 Publication ID: 27384
  • Bochev, P. (2012). Mathematical and Algorithmic Foundations for Optimization-Based Modeling (OBM): a New Strategy for the Compatible Discretization and Scalable Solution of Multiphysics Problems [Presentation]. https://www.osti.gov/biblio/1657357 Publication ID: 27387
  • Bochev, P., Lai, J., Olson, L., & Olson, L. (2012). A locally conservative, discontinuous least-squares finite element method for the Stokes equations [Conference]. International Journal for Numerical Methods in Fluids. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84856297795&origin=inward Publication ID: 23582
  • Ridzal, D., Bochev, P., & Bochev, P. (2011). A toolbox for a class of discontinuous Petrov-Galerkin methods using trilinos. https://doi.org/10.2172/1029782 Publication ID: 24425
  • Peterson, K., Bochev, P., & Bochev, P. (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
  • Young, J., Ridzal, D., Bochev, P., & Bochev, P. (2011). Optimization-Based Modeling: Part 3 – Monotone Methods for Transport without Limiters [Conference]. https://www.osti.gov/biblio/1107675 Publication ID: 23049
  • Bochev, P. (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
  • Peterson, K., Bochev, P., Ridzal, D., & Ridzal, D. (2011). Intrepid Functionality for Parvis [Presentation]. https://www.osti.gov/biblio/1671462 Publication ID: 22313
  • Ridzal, D., Young, J., Bochev, P., & Bochev, P. (2011). Optimization-based modeling with applications to transport. Part 2. The optimization algorithm [Conference]. https://www.osti.gov/biblio/1108772 Publication ID: 22012
  • Ridzal, D., Young, J., Bochev, P., Peterson, K., & Peterson, K. (2011). Optimization-based modeling with applications to transport. Part 3. Computational studies [Conference]. https://www.osti.gov/biblio/1108660 Publication ID: 22103
  • Bochev, P., Paskaleva, B., & Paskaleva, B. (2010). Arctic Sea ice model sensitivities [Conference]. https://www.osti.gov/biblio/1036006 Publication ID: 21034
  • Bochev, P., Ridzal, D., & Ridzal, D. (2010). Solving PDEs with intrepid [Conference]. https://www.osti.gov/biblio/1030374 Publication ID: 20562
  • Bochev, P., Paskaleva, B., & Paskaleva, B. (2010). Development, sensitivity analysis, and uncertainty quantification of high-fidelity arctic sea ice models. https://doi.org/10.2172/1007324 Publication ID: 19803
  • Bochev, P. (2010). Understanding the Evolution of Applied Mathematics in Industry [Presentation]. https://www.osti.gov/biblio/1677576 Publication ID: 19036
  • Bochev, P. (2010). Least-squares methods for geosciences : a new perspective [Conference]. https://www.osti.gov/biblio/1021134 Publication ID: 19079
  • Peterson, K., Bochev, P., & Bochev, P. (2010). Arctic sea ice modeling with the material-point method [Conference]. https://www.osti.gov/biblio/1011619 Publication ID: 18083
  • Parks, M., Bochev, P., Lehoucq, R., & Lehoucq, R. (2010). Atomistic-to-Continuum Coupling Methods Based on Domain Decomposition [Presentation]. https://www.osti.gov/biblio/1681150 Publication ID: 18100
  • Ridzal, D., Bochev, P., Scovazzi, G., Peterson, K., & Peterson, K. (2010). Optimization-based constrained modeling : a new transport paradigm [Conference]. https://www.osti.gov/biblio/990087 Publication ID: 17607
  • Siefert, C., Bochev, P., Peterson, K., & Peterson, K. (2009). An Algebraic Multigrid Method for Compatible Least-Squares Formulations of Div-Curl Equations [Conference]. https://www.osti.gov/biblio/1142414 Publication ID: 16024
  • Bochev, P., Ridzal, D., & Ridzal, D. (2008). Finite element solution of optimal control problems arising in semiconductor modeling [Conference]. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70350281280&origin=inward Publication ID: 9817
  • Bochev, P. (2008). Principles of compatible discretizations [Presentation]. https://www.osti.gov/biblio/1700619 Publication ID: 15293
  • Bochev, P., Hu, J., Siefert, C., Shadid, J.N., Lin, P., & Lin, P. (2008). Multigrid & Optimal Solvers [Conference]. https://www.osti.gov/biblio/1141620 Publication ID: 14946
  • Ridzal, D., Bochev, P., & Bochev, P. (2008). Scalable Solution Methods via Optimal Control Reformulations [Conference]. https://www.osti.gov/biblio/1143044 Publication ID: 14127
  • Siefert, C., Tuminaro, R., Bochev, P., Boman, E., Devine, K., & Devine, K. (2008). Recent Algorithmic (and Practical) Developments in ML [Conference]. https://www.osti.gov/biblio/1145786 Publication ID: 13188
  • Siefert, C., Bochev, P., Hu, J., Tuminaro, R., & Tuminaro, R. (2008). Performance and Scalability in Computational Electromagnetics at Sandia [Presentation]. https://www.osti.gov/biblio/1713030 Publication ID: 12554
  • Ridzal, D., Bochev, P., & Bochev, P. (2007). Intrepid [Presentation]. https://www.osti.gov/biblio/1720262 Publication ID: 11937
  • Siefert, C., Bochev, P., Tuminaro, R., Hu, J., & Hu, J. (2007). Algebraic Multigrid and a Compatible Gauge Reformulation of Maxwell’s Equations [Conference]. https://www.osti.gov/biblio/1146660 Publication ID: 12209
  • Bochev, P., Collis, S., Jones, R.E., Lehoucq, R., Parks, M., Scovazzi, G., Silling, S., Templeton, J.A., & Templeton, J.A. (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
  • Lehoucq, R., Bochev, P., & Bochev, P. (2007). On stabilized finite element for the Stokes problem in the small time step limit [Presentation]. https://www.osti.gov/biblio/1716675 Publication ID: 11262
  • Bochev, P., Parks, M., & Parks, M. (2007). ON ATOMISTIC-TO-CONTINUUM (ATC) COUPLING BY BLENDING. Multiscale Modeling and Simulation. https://www.osti.gov/biblio/1147443 Publication ID: 10934
  • Bochev, P. (2007). Order verification – facts and fiction [Conference]. https://www.osti.gov/biblio/1147624 Publication ID: 10935
  • Bochev, P., Parks, M., & Parks, M. (2007). Bridging methods for coupling atomistic and continuum models [Conference]. https://www.osti.gov/biblio/1147195 Publication ID: 11049
  • Tuminaro, R., Siefert, C., Bochev, P., & Bochev, P. (2007). Compatible Gauge Approaches for H(div) Equations [Presentation]. https://www.osti.gov/biblio/1721468 Publication ID: 11050
  • Lehoucq, R., Bochev, P., & Bochev, P. (2007). Relating Atomistic-to-Continuum (AtC) Coupling and Domain Decomposition [Conference]. https://www.osti.gov/biblio/1141448 Publication ID: 10540
  • Bochev, P. (2007). Mimetic discretizations and what they can do for you [Conference]. https://www.osti.gov/biblio/1141640 Publication ID: 9894
  • Parks, M., Lehoucq, R., Bochev, P., & Bochev, P. (2007). Connecting Domain Decomposition and Atomistic-to-Continuum (AtC) Coupling [Presentation]. https://www.osti.gov/biblio/1723060 Publication ID: 9624
  • Bochev, P., Tuminaro, R., Hu, J., & Hu, J. (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
  • Ridzal, D., Bochev, P., & Bochev, P. (2007). A Comparative Study of Galerkin and Mixed Galerkin Methods in Optimal Control Problems with Applications to Semiconductor Modeling [Conference]. https://www.osti.gov/biblio/1157542 Publication ID: 9319
  • Siefert, C., Bochev, P., Hu, J., Tuminaro, R., & Tuminaro, R. (2007). Algebraic Multigrid and Algebraic Reformulations of the Eddy Current Equations [Conference]. https://www.osti.gov/biblio/1143320 Publication ID: 8957
  • Bochev, P., Dohrmann, C., Gunzburger, M.D., & Gunzburger, M.D. (2006). Stabilization of low-order mixed finite elements for the stokes equations. SIAM Journal on Numerical Analysis, 44(1), pp. 82-101. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33751528291&origin=inward Publication ID: 2992
  • Tuminaro, R., Bochev, P., Hu, J., & Hu, J. (2006). AMG and a Discrete Reformulation for Maxwell’s Equations [Presentation]. https://www.osti.gov/biblio/1724653 Publication ID: 8225
  • Parks, M., Bochev, P., Lehoucq, R., & Lehoucq, R. (2006). Relating Atomistic-to-Continuum Coupling and Domain Decomposition [Conference]. https://www.osti.gov/biblio/1264727 Publication ID: 7528
  • Hughes, T.J.R., Scovazzi, G., Bochev, P., Buffa, A., & Buffa, A. (2006). A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method. Computer Methods in Applied Mechanics and Engineering, 195(19-22), pp. 2761-2787. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33644584742&origin=inward Publication ID: 4880
  • Scovazzi, G., Bochev, P., Collis, S., & Collis, S. (2006). The variational multiscale framework for discontinuous Galerkin methods [Conference]. https://www.osti.gov/biblio/943895 Publication ID: 6774
  • Day, D., Bochev, P., Weiss, C., Robinson, A., & Robinson, A. (2005). Geophysical subsurface imaging and interface identification. https://doi.org/10.2172/875615 Publication ID: 6099
  • Bochev, P. (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
  • Scovazzi, G., Bochev, P., & Bochev, P. (2005). A multiscale discontinuous galerkin method with the computational structure of a continuous galerkin method [Conference]. https://www.osti.gov/biblio/967818 Publication ID: 5843
  • Bochev, P. (2005). Application of uncertainty propagation and sensitivity analysis in validation [Conference]. https://www.osti.gov/biblio/969880 Publication ID: 5333
  • Bochev, P. (2005). Applications of algebraic topology to compatible spatial discretizations [Conference]. https://www.osti.gov/biblio/969879 Publication ID: 5334
  • Scovazzi, G., Bochev, P., & Bochev, P. (2005). A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method [Conference]. https://www.osti.gov/biblio/987099 Publication ID: 4782
  • Bochev, P. (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
  • Bochev, P., Dohrmann, C., & Dohrmann, C. (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
  • Bochev, P. (2004). Least-squares/penalty finite element methods for optimization and control problems [Conference]. https://www.osti.gov/biblio/957239 Publication ID: 3009
  • Bochev, P., Christon, M., Collis, S., Lehoucq, R., Shadid, J.N., Slepoy, A., & Slepoy, A. (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
  • Bochev, P., Bochev, P., Gunzburger, M., Shadid, J.N., & Shadid, J.N. (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., 193(23-26). https://www.osti.gov/biblio/1005399 Publication ID: 2670
  • Bochev, P., Bochev, P., Gunzburger, M., & Gunzburger, M. (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
  • Bochev, P., Bochev, P., & Bochev, P. (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
  • Bochev, P., Bochev, P., & Bochev, P. (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
  • Bochev, P., Bochev, P., Gunzburger, M., Shadid, J.N., & Shadid, J.N. (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
  • Bochev, P., Robinson, A., & Robinson, A. (2001). Vector Potentials, Gauges and Edge Elements: Matching Algorithms with the Physics of Eddy Currents in Inhomogeneous Conductors [Conference]. https://www.osti.gov/biblio/784038 Publication ID: 1206
Showing 10 of 212 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, , "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