B.J. Gross, P. Kuberry, P.J. Atzberger, First-Passage Time Statistics on Surfaces of General Shape: Surface PDE Solvers using Generalized Moving Least Squares (GMLS), Journal of Computational Physics, 453, 2022. doi: 10.1016/ arXiv:2102.02421, Link

C. Sockwell, K. Peterson, P. Kuberry, P. Bochev, Interface Flux Recovery Framework for Constructing Partitioned Heterogeneous Time-Integration Methods, submitted.

V.S. Mahadevan, J.E. Guerra, X. Jiao, P. Kuberry, Y. Li, P. Ullrich, R. Jacob, P. Bochev, P. Jones, Metrics for Intercomparison of Remapping Algorithms (MIRA) applied to Earth System Models, submitted. Link

Q. Ha, P. Kuberry, N. Trask, E. Ryan, Parallel implementation of a compatible high-order meshless method for the Stokes' equations, submitted. arXiv:2104.14447

M. Anguiano, P. Kuberry, P. Bochev, A. Masud, Synchronous and Concurrent Multi-domain Computing Method for Cloud Computing Platforms, SIAM Journal on Scientific Computing, S565-S591, 2021.
doi: 10.1137/20M1349278. Link

K. Sockwell, K. Peterson, P. Kuberry, P. Bochev, N. Trask, Interface Flux Recovery coupling method for the ocean-atmosphere system, Results in Applied Mathematics, 2020. doi: 10.1016/j.rinam.2020.100110. Link

B.J. Gross, N. Trask, P. Kuberry, and P. J. Atzberger, Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: A Generalized Moving Least-Squares (GMLS) approach,
Journal of Computational Physics, 409, 2020. doi: 10.1016/ arXiv:1905.10469, Link

P. Bochev, N. Trask, P. Kuberry, and M. Perego, Mesh-hardened finite element analysis through a Generalized Moving Least-Squares approximation of variational problems,
International Conference on Large-Scale Scientific Computing, pp. 67-75. Springer, Cham, 2020.
doi: 10.1007/978-3-030-41032-2_7. Preprint, Link.

B.S.M. Ebna Hai, M. Bause, and P. Kuberry, Modeling concept and numerical simulation of ultrasonic wave propagation in a moving fluid-structure domain based on a monolithic approach,
Applied Mathematical Modelling, 75, 916-939, 2019. doi: 10.1016/j.apm.2019.07.007. Link

B.S.M. Ebna Hai, M. Bause, and P. Kuberry, Modeling and simulation of Ultrasonic Guided Waves propagation in the fluid-structure domain by a monolithic approach,
Journal of Fluids and Structures, 88, 100-121, 2019. doi: 10.1016/j.jfluidstructs.2019.04.014. Link

N. Trask, P. Kuberry, Compatible meshfree discretization of surface PDEs,
Computational Particle Mechanics, 2019. doi: Preprint, Link

K. Peterson, P. Bochev, and P. Kuberry, Explicit synchronous partitioned algorithms for interface problems based on Lagrange multipliers, Computers & Mathematics with Applications,
78(2), 459-482, 2019. doi: 10.1016/j.camwa.2018.09.045. Link

P. Kuberry, P. Bochev, and K. Peterson, A virtual control, mesh-free coupling method for non-coincident interfaces, ECCM-ECFD Conferences 2018. Link

P. Bochev, P. Kuberry, and K. Peterson, A virtual control coupling approach for problems with non-coincident discrete interfaces, International Conference on Large-Scale Scientific Computing,
pp. 147-155. Springer, Cham, 2018. doi: 10.1007/978-3-319-73441-5_15. Link

P. Kuberry, P. Bochev, and K. Peterson, An optimization-based approach for elliptic problems with interfaces, SIAM Journal on Scientific Computing, 39(5), S757-S781, 2017.
doi: 10.1137/16M1084547. Link

P. Kuberry, H. Lee, Convergence of a fluid-structure interaction problem decoupled by a Neumann control over a single time-step, Journal of Mathematical Analysis and Applications, 437(1), 645-667, 2016.
doi: 10.1016/j.jmaa.2016.01.022. Link

P. Kuberry, H. Lee, Analysis of a fluid-structure interaction problem recast in an optimal control setting, SIAM Journal on Numerical Analysis, 53(3), 1464-1487, 2015.
doi: 10.1137/140958220. Link

P. Kuberry, H. Lee, A decoupling algorithm for fluid-structure interaction problems based on optimization, Computer Methods in Applied Mechanics and Engineering, 267, 594-605, 2013.
doi: 10.1016/j.cma.2013.10.006. Link, Preprint

L. Zhilin, W. Li, E. Aspinwall, R. Cooper, P. Kuberry, A. Sanders, and K. Zeng, Some new analysis results for a class of interface problems, Mathematical Methods in the Applied Sciences, 2013.
doi: 10.1002/mma.2865. Link

P. Kuberry, A. Larios, L. Rebholz, N. Wilson, Numerical approximation of the Voigt regularization for incompressible Navier–Stokes and magnetohydrodynamic flows, Computers & Mathematics with Applications, 64(8), 2647-2662, 2012.
doi: 10.1016/j.camwa.2012.07.010. Link


K. Aadithya, P. Kuberry, B. Paskaleva, P. Bochev, K. Leeson, A. Mar, T. Mei, and E. Keiter, Data-driven compact models for circuit design and analysis, Proceedings of Machine Learning Research, 107, 555-572, 2020. arXiv:2001.01699, Link

B.S.M. Ebna Hai, M. Bause, P. Kuberry, Finite element approximation of the eXtended Fluid-Structure Interaction (eXFSI) Problem, ASME 2016 HT/FE/ICNMM Conferences - FEDSM2016-7506, Washington, D.C., July 10-14, 2016. Link

P. Bochev, P. Kuberry, A variational flux recovery approach for elastodynamics problems with interfaces, 1st Pan-American Congress on Computational Mechanics, Argentina, 2015. Link

Technical Reports

P. Kuberry, E. Keiter, An embedded Python model interpreter for Xyce (Xyce-PyMi), Sandia Report, 2021. doi:10.2172/1813650. Link

P. Kuberry, P. Bochev, J. Koester, N. Trask, Regression Based Approach for Robust Finite Element Analysis on Arbitrary Grids: LDRD Final Report, Sandia Report, 2020. doi:10.2172/1669732. Link

P. Bochev, P. Bosler, P. Kuberry, M. Perego, K. Peterson, N. Trask, Compatible Particle Discretizations. Final LDRD Report, Sandia Report, 2019. doi:10.2172/1569143. Link


P. Kuberry, P. Bosler, and N. Trask, Compadre Toolkit, Github. doi: 10.11578/dc.20190411.1. Link

P. Kuberry, Xyce Python Model Interpreter (Xyce-PyMi), Github. Link