Paul Allen Kuberry

Computational Mathematics

Author profile picture

Computational Mathematics

pakuber@sandia.gov

(814) 708-4244

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

Biography

Paul Kuberry received his M.S. and Ph.D. in Mathematical Sciences from Clemson University and his B.S. in Mathematics from Clarion University of Pennsylvania. His research interests include developing and analyzing algorithms and coupling methods for the solution of multi-physics partial differential equations and problems posed on domains with mismatched interfaces.

Education

  • B.S. Mathematics – Clarion University of Pennsylvania
  • M.S. Mathematical Sciences – Clemson University
  • Ph.D. Mathematical Sciences – Clemson University

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
  • 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
  • Gross, B.J., Kuberry, P., Atzberger, P.J., & Atzberger, P.J. (2022). First-passage time statistics on surfaces of general shape: Surface PDE solvers using Generalized Moving Least Squares (GMLS). Journal of Computational Physics, 453. https://doi.org/10.1016/j.jcp.2021.110932 Publication ID: 79882
  • Oldfield, R., Kramer, S., Rushdi, A.A., Acquesta, E., Emery, J., Kuberry, P., Ray, J., Ackerman, S., Cyr, E., Saavedra, G., Hughes, C., Cardwell, S., Smith, J., & Smith, J. (2021). The ASC Advanced Machine Learning Initiative at Sandia National Laboratories: FY21 Accomplishments and FY22 Plans [Presentation]. https://www.osti.gov/biblio/1895016 Publication ID: 76429
  • 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
  • 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
  • Paskaleva, B., Shitole, V., Rosenbaum, E., Hanson, J., Yang, A., Kuberry, P., & Kuberry, P. (2021). Data-Driven Compact Modeling of Bipolar Junction Transistors with Recurrent Neural Networks [Conference Presenation]. https://doi.org/10.2172/1888718 Publication ID: 75860
  • Keiter, E., Verley, J., Thornquist, H., Kuberry, P., Galvan, E., & Galvan, E. (2021). Xyce Circuit Simulator and Surrogate Modeling [Conference Poster]. https://doi.org/10.2172/1889599 Publication ID: 75505
  • 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
  • Kuberry, P., Keiter, E., & Keiter, E. (2021). An embedded Python model interpreter for XyceTM (Xyce-PyMi). https://doi.org/10.2172/1813650 Publication ID: 79701
  • 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
  • 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
  • Gross, B., Kuberry, P., Trask, N., Atzberger, P., & Atzberger, P. (2020). Meshless Methods for Manifolds GMLS Approximations of Hydrodynamic Responses in Curved Fluid Interfaces [Conference Presenation]. https://doi.org/10.2172/1834284 Publication ID: 72000
  • 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
  • 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
  • Betancur-Peacock, J., Kuberry, P., & Kuberry, P. (2020). Data-Driven Agile Modeling Approach for Rapid Assessments of Electrical Designs [Conference Poster]. https://www.osti.gov/biblio/1812156 Publication ID: 74335
  • Peterson, K., Turner, A., Bolintineanu, D., Kuberry, P., & Kuberry, P. (2020). A Performance Portable Discrete Element Sea Ice Model for Earth System Modeling [Conference Poster]. https://www.osti.gov/biblio/1807375 Publication ID: 73722
  • Gross, B.J., Trask, N., Kuberry, P., Atzberger, P.J., & Atzberger, P.J. (2020). Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: A Generalized Moving Least-Squares (GMLS) approach. Journal of Computational Physics, 409. https://doi.org/10.1016/j.jcp.2020.109340 Publication ID: 68754
  • 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
  • Trask, N., Kuberry, P., & Kuberry, P. (2020). Compatible meshfree discretization of surface PDEs. Computational Particle Mechanics, 7(2), pp. 271-277. https://doi.org/10.1007/s40571-019-00251-2 Publication ID: 67631
  • 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., 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
  • 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
  • Ebna Hai, B.S.M., Bause, M., Kuberry, P., & Kuberry, P. (2019). Modeling concept and numerical simulation of ultrasonic wave propagation in a moving fluid-structure domain based on a monolithic approach. Applied Mathematical Modelling, 75, pp. 916-939. https://doi.org/10.1016/j.apm.2019.07.007 Publication ID: 69601
  • 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
  • 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
  • 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
  • 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
  • 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
  • Peterson, K., Turner, A., Kuberry, P., Bolintineanu, D., Roberts, A., Davis, T., Wang, M., & Wang, M. (2019). DEMSI: A Performance Portable Sea Ice Model [Conference Poster]. https://www.osti.gov/biblio/1641154 Publication ID: 69714
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • Kuberry, P. (2018). Meshless Remap for Earth System Models [Conference Poster]. https://www.osti.gov/biblio/1806629 Publication ID: 63263
  • 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
  • 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
  • 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
  • Kuberry, P. (2017). Compadre Toolkit [Presentation]. https://www.osti.gov/biblio/1511796 Publication ID: 54254
  • 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
  • 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
  • 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
  • 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
  • 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., Kuberry, P., & Kuberry, P. (2017). Mortar Flux Recover (MFR) Algorithm and Analysis [Conference Poster]. https://www.osti.gov/biblio/1427961 Publication ID: 55378
  • 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., Kuberry, P., & Kuberry, P. (2016). Mortar Flux Recovery (MFR) Algorithm and Analysis [Conference Poster]. https://www.osti.gov/biblio/1400364 Publication ID: 47171
  • 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
  • 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
  • Hai, B.S.M.E., Bause, M., Kuberry, P., & Kuberry, P. (2016). Finite element approximation of the extended fluid-structure interaction (eXFSI) problem [Conference Poster]. American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85021946780&origin=inward Publication ID: 49441
  • Kuberry, P., Lee, H., & Lee, H. (2015). Decoupling Navier-Stokes / St. Venant-Kirchhoff Fluid-Structure Interaction by Optimization [Conference Poster]. https://www.osti.gov/biblio/1254693 Publication ID: 43449
  • 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
  • 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., 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
  • Kuberry, P., Kuberry, P., Lee, H., Lee, H., & Lee, H. (2015). Analysis of a Fluid-Structure Interaction Problem Decoupled by Optimal Control [Conference Poster]. https://www.osti.gov/biblio/1241287 Publication ID: 42395
  • Kuberry, P. (2014). Using Intrelab to Quickly Prototype Interface Algorithms [Conference Poster]. https://www.osti.gov/biblio/1319660 Publication ID: 39594
Showing 10 of 71 publications.

Projects

Trilinos

Software

Trilinos