Papers


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

B.J. Gross, P. Kuberry, P.J. Atzberger, First-passage times on surfaces with complicated geometries: Generalized Moving Least Squares (GMLS) solvers for surface partial differential equations (PDEs), submitted. arXiv:2102.02421

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/j.jcp.2020.109340. 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: https://doi.org/10.1007/s40571-019-00251-2. 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

Proceedings

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

Software


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