Numerical approximation of the Voigt regularization for incompressible Navier-Stokes and magnetohydrodynamic flows. - Paul Kuberry; Adam Larios; Leo G. Rebholz; Nicholas E. Wilson (Comput. Math. Appl., 2012)

Analysis of a Fluid-Structure Interaction Problem Recast in an Optimal Control Setting. - Paul Kuberry; H. Lee (SIAM J. Numer. Anal., 2015)

A Virtual Control Coupling Approach for Problems with Non-coincident Discrete Interfaces. - Pavel B. Bochev; Paul Kuberry; Kara Peterson (LSSC, 2017)

An Optimization-Based Approach for Elliptic Problems with Interfaces. - Paul Kuberry; Pavel B. Bochev; Kara Peterson (SIAM J. Sci. Comput., 2017)

Mesh-Hardened Finite Element Analysis Through a Generalized Moving Least-Squares Approximation of Variational Problems. - Pavel B. Bochev; Nathaniel Trask; Paul Kuberry; Mauro Perego (LSSC, 2019)

Explicit synchronous partitioned algorithms for interface problems based on Lagrange multipliers. - Kara Peterson; Pavel B. Bochev; Paul Kuberry (Comput. Math. Appl., 2019)

Data-driven Compact Models for Circuit Design and Analysis. - Karthik V. Aadithya; Paul Kuberry; Biliana S. Paskaleva; Pavel B. Bochev; K. Leeson; A. Mar; Ting Mei; Eric R. Keiter (MSML, 2020)

Development, Demonstration, and Validation of Data-driven Compact Diode Models for Circuit Simulation and Analysis. - Karthik V. Aadithya; Paul Kuberry; Biliana S. Paskaleva; Pavel B. Bochev; K. Leeson; A. Mar; Ting Mei; Eric R. Keiter (CoRR, 2020)

Meshfree methods on manifolds for hydrodynamic flows on curved surfaces: A Generalized Moving Least-Squares (GMLS) approach. - Ben J. Gross; Nathaniel Trask; Paul Kuberry; Paul J. Atzberger (J. Comput. Phys., 2020)

Parallel implementation of a compatible high-order meshless method for the Stokes' equations. - Quang-Thinh Ha; Paul A. Kuberry; Nathaniel A. Trask; Emily M. Ryan (CoRR, 2021)

Synchronous and Concurrent Multidomain Computing Method for Cloud Computing Platforms. - Marcelino Anguiano; Paul Kuberry; Pavel B. Bochev; Arif Masud (SIAM J. Sci. Comput., 2021)

A Novel Partitioned Approach for Reduced Order Model - Finite Element Model (ROM-FEM) and ROM-ROM Coupling. - Amy de Castro; Paul Kuberry; Irina Tezaur; Pavel B. Bochev (CoRR, 2022)

First-passage time statistics on surfaces of general shape: Surface PDE solvers using Generalized Moving Least Squares (GMLS). - Ben J. Gross; Paul Kuberry; Paul J. Atzberger (J. Comput. Phys., 2022)

Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases. - Amy de Castro; Pavel B. Bochev; Paul Kuberry; Irina Tezaur (CoRR, 2023)

Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives. - Andrew M. Jones; Peter A. Bosler; Paul A. Kuberry; Grady B. Wright (Comput. Math. Appl., 2023)

Dynamic flux surrogate-based partitioned methods for interface problems. - Pavel B. Bochev; Justin Owen; Paul Kuberry (CoRR, 2024)

An optimization-based coupling of reduced order models with efficient reduced adjoint basis generation approach. - Elizabeth Hawkins; Paul Kuberry; Pavel B. Bochev (CoRR, 2024)

A deep least-squares method for the Stokes equations. - Teddy Meissner; Edward Huynh; Paul Kuberry; Pavel B. Bochev (Comput. Math. Appl., 2025)

Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale. - Matthias Mayr; Alexander Heinlein; Christian A. Glusa; Siva Rajamanickam; Maarten Arnst; Roscoe A. Bartlett; Luc Berger-Vergiat; Erik G. Boman; Karen D. Devine; Graham Harper; Michael A. Heroux; Mark Hoemmen; et al. (CoRR, 2025)

A discontinuous piecewise polynomial generalized moving least squares scheme for robust finite element analysis on arbitrary grids. - Paul Kuberry; Pavel B. Bochev; Jacob Koester; Nathaniel Trask (Eng. Comput., 2025)

Nonintrusive Data-Driven Model Order Reduction for Circuits Based on Hammerstein Architectures. - Joshua Hanson; Paul Kuberry; Biliana S. Paskaleva; Pavel B. Bochev (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 2025)