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Robert N. Rieben
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High-order curvilinear finite element methods for Lagrangian hydrodynamics
VA Dobrev, TV Kolev, RN Rieben
SIAM Journal on Scientific Computing 34 (5), B606-B641, 2012
2372012
High-order symplectic integration methods for finite element solutions to time dependent Maxwell equations
R Rieben, D White, G Rodrigue
IEEE Transactions on Antennas and Propagation 52 (8), 2190-2195, 2004
1192004
Arbitrary Lagrangian–Eulerian methods for modeling high-speed compressible multimaterial flows
AJ Barlow, PH Maire, WJ Rider, RN Rieben, MJ Shashkov
Journal of Computational Physics 322, 603-665, 2016
1182016
A high order mixed vector finite element method for solving the time dependent maxwell equations on unstructured grids
RN Rieben, GH Rodrigue, DA White
Journal of Computational Physics 204 (2), 490-519, 2005
972005
Curvilinear finite elements for Lagrangian hydrodynamics
VA Dobrev, TE Ellis, TV Kolev, RN Rieben
International Journal for Numerical Methods in Fluids 65 (11‐12), 1295-1310, 2011
862011
A tensor artificial viscosity using a finite element approach
TV Kolev, RN Rieben
Journal of Computational Physics 228 (22), 8336-8366, 2009
822009
High-order curvilinear finite elements for axisymmetric Lagrangian hydrodynamics
VA Dobrev, TE Ellis, TV Kolev, RN Rieben
Computers & Fluids 83, 58-69, 2013
702013
A step towards energy efficient computing: Redesigning a hydrodynamic application on CPU-GPU
T Dong, V Dobrev, T Kolev, R Rieben, S Tomov, J Dongarra
2014 IEEE 28th International Parallel and Distributed Processing Symposium …, 2014
602014
FEMSTER: An object-oriented class library of high-order discrete differential forms
P Castillo, R Rieben, D White
ACM Transactions on Mathematical Software (TOMS) 31 (4), 425-457, 2005
602005
High-order multi-material ALE hydrodynamics
RW Anderson, VA Dobrev, TV Kolev, RN Rieben, VZ Tomov
SIAM Journal on Scientific Computing 40 (1), B32-B58, 2018
592018
High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation
R Anderson, V Dobrev, T Kolev, D Kuzmin, MQ de Luna, R Rieben, ...
Journal of Computational Physics 334, 102-124, 2017
562017
An arbitrary Lagrangian–Eulerian discretization of MHD on 3D unstructured grids
RN Rieben, DA White, BK Wallin, JM Solberg
Journal of Computational Physics 226 (1), 534-570, 2007
532007
A generalized mass lumping technique for vector finite-element solutions of the time-dependent Maxwell equations
A Fisher, RN Rieben, GH Rodrigue, DA White
IEEE transactions on antennas and propagation 53 (9), 2900-2910, 2005
532005
Exascale applications: skin in the game
F Alexander, A Almgren, J Bell, A Bhattacharjee, J Chen, P Colella, ...
Philosophical Transactions of the Royal Society A 378 (2166), 20190056, 2020
512020
Verification of high-order mixed finite-element solution of transient magnetic diffusion problems
RN Rieben, DA White
IEEE Transactions on Magnetics 42 (1), 25-39, 2005
452005
Monotonicity in high‐order curvilinear finite element arbitrary Lagrangian–Eulerian remap
RW Anderson, VA Dobrev, TV Kolev, RN Rieben
International Journal for Numerical Methods in Fluids 77 (5), 249-273, 2015
442015
A discrete differential forms framework for computational electromagnetism
P Castillo, J Koning, R Rieben, D White
Computer Modeling in Engineering and Sciences 5 (4), 331-345, 2004
432004
Improved conditioning of finite element matrices using new high-order interpolatory bases
RN Rieben, DA White, GH Rodrigue
IEEE transactions on antennas and propagation 52 (10), 2675-2683, 2004
292004
High order curvilinear finite elements for elastic–plastic Lagrangian dynamics
VA Dobrev, TV Kolev, RN Rieben
Journal of Computational Physics 257, 1062-1080, 2014
282014
Multi‐material closure model for high‐order finite element Lagrangian hydrodynamics
VA Dobrev, TV Kolev, RN Rieben, VZ Tomov
International Journal for Numerical Methods in Fluids 82 (10), 689-706, 2016
272016
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