Publications

Hyperdimensional, Adaptive Finite Elements Using Camellia and Intrepid2

WCCM 2022 (Virtual)

Nathan V. Roberts

A DPG Space-Time Vlasov-Poisson Discretization with Adaptive Mesh Refinement

SIAM Annual

Nathan V. Roberts, Stephen D Bond, Eric Christopher Cyr

Neural-Network Based Collision Operators for the Boltzmann Equation

SIAM Annual Meeting 2022

Eric Christopher Cyr, Nathan V. Roberts, Stephen D Bond, Sean (AMD) Miller

The DPG Method for the Convection-Reaction Problem, Revisited

Computational Methods in Applied Mathematics

Leszek Demkowicz, Nathan V. Roberts, Judit Muoz-Mutate

Combining DPG in space with DPG time-marching scheme for the transient advection-reaction equation

Judit Muoz-Matute, Leszek Demkowicz, Nathan V. Roberts

https://www.osti.gov/search/identifier:1869510

Discontinuous Petrov-Galerkin Methods for Transient PDEs

Sandia Day @ UT 2022

Judit Muoz-Mutate, Nathan V. Roberts, Leszek Demkowicz

A DPG Space-Time Vlasov-Poisson Discretization with Adaptive Mesh Refinement

SIAM Annual

Nathan V. Roberts, Stephen D Bond, Eric Christopher Cyr

Hyperdimensional, Adaptive Finite Elements Using Camellia and Intrepid2

Wccm 2022

Nathan V. Roberts

Exploiting Tensor-Product Structure in High-Order Finite Elements on Next-Generation Architectures

Usnccm 16

Nathan V. Roberts, Mauro Perego

Machine Learning for Accelerating Direct-Simulation Monte-Carlo Collision Operators

MLDL Workshop

Nathan V. Roberts, Sean Miller

Machine Learning for Accelerating Direct-Simulation Monte-Carlo Collision Operators

Machine Learning and Deep Learning Conference 2021

Nathan V. Roberts, Sean Miller

The DPG Method for the Convection-Reaction Problem, Revisited

Leszek Demkowicz, Nathan V. Roberts

https://www.osti.gov/search/identifier:1772894

EMPIRE-PIC: A Performance Portable Unstructured Particle-in-Cell Code

Communications in Computational Physics

Matthew Tyler Bettencourt, Dominic A. S. Brown, Keith L. Cartwright1, Eric Christopher Cyr, Christian Alexander Glusa, Paul T. Lin, Stan Gerald Moore, Duncan A. O. McGregor, Roger P. Pawlowski, Edward Geoffrey Phillips, Nathan V. Roberts, Steven A. Wright, Satheesh Maheswaran, John P. Jones, Stephen A. Jarvis

https://www.osti.gov/search/identifier:1822232

Exploiting Tensor-Product Structure in High-Order Finite Elements on Next-Generation Architectures

Usnccm

Nathan V. Roberts, Mauro Perego

A Time-Marching DPG Approach for the Vlasov-Poisson Equations

Siam Cse 2021

Nathan V. Roberts, Sean T. Miller

Machine Learning for Accelerating Direct-Simulation Monte-Carlo Collision Operators

Sandia Machine Learning and Deep Learning Workshop

Sean Miller, Nathan V. Roberts, Eric Christopher Cyr

https://www.osti.gov/search/identifier:1811433

Solving The Multiscale Modeling Problem Of Plasma Physics With Hetrogeneous Methods

wccm

Matthew Tyler Bettencourt, Eric Christopher Cyr, Edward Geoffrey Phillips, Kristian Beckwith, Keith Cartwright, Duncan Alisdair Odum McGregor, Sean Miller, Nathan V. Roberts, Nicholas Roberds, Roger P. Pawlowski, David Sirajuddin

Power-flow Simulation Enabled By Numerical Methods For Multi-scale Relativistic Plasmas

International Conference on Computational Methods for Coupled Problems in Science and Engineering (WCCM XIV and ECCOMAS2020)

Kristian Beckwith, Thomas Anthony Gardiner, Matthew Tyler Bettencourt, Forrest Glines, Keith Cartwright, Eric Christopher Cyr, Sean Miller, Edward Geoffrey Phillips, Nathan V. Roberts, Roger P. Pawlowski, David Sirajuddin

Residual-Minimizing Approaches for Transient Problems on Next-Generation Computing Architectures

World Congress in Computational Mechanics

Nathan V. Roberts, Stefan Klaus Wilhelm Henneking, Sean Miller, Eric Christopher Cyr

https://www.osti.gov/search/identifier:1643401

Implicit-Explicit Time Integration for a Mixed CG-DG Multi-Fluid Plasma Formulation

2019 International Conference on Numerical Simulation of Plasmas

Eric Christopher Cyr, Sean Miller, Roger P. Pawlowski, Edward Geoffrey Phillips, Kristian Beckwith, Matthew Tyler Bettencourt, Keith Cartwright, Richard Michael Jack Kramer, Nathan V. Roberts, John N. Shadid, Sidney Shields

https://www.osti.gov/search/identifier:1642848

Multi-Fluid Plasma Simulation with an IMEX CG/DG Discretization

Z Fundamental Science Workshop 2019

Eric Christopher Cyr, Sean Miller, Edward Geoffrey Phillips, Kristian Beckwith, Matthew Tyler Bettencourt, Keith Cartwright, Richard Michael Jack Kramer, Roger P. Pawlowski, Nathan V. Roberts, John N. Shadid, Sidney Shields

https://www.osti.gov/search/identifier:1641633

Tetrahedral Mesh Adaptation for Lagrangian Shock Hydrodynamics

Computers and Mathematics with Applications

Daniel Alejandro Ibanez-Granados, Edward Love, Thomas E. Voth, James R. Overfelt, Nathan Roberts, Glen Hansen

https://www.osti.gov/search/identifier:1559503

EMPIRE: Sandia's Next Generation Plasma Tool ?Kokkosifying EMPIRE-Fluid

Kokkos User Group Meeting

Matthew Tyler Bettencourt, Sidney Shields, Kristian Beckwith, Keith Cartwright, Eric Christopher Cyr, Richard Michael Jack Kramer, Paul Lin, William McDoniel, Sean Miller, Roger P. Pawlowski, Edward Geoffrey Phillips, Nathan V. Roberts

https://www.osti.gov/search/identifier:1639868

EMPIRE and EMPHASIS: Verification and Validation

Technical interchange on beam physics, presentation of Sandia work on desktop electron accelerators and associated diagnostics

Keith Cartwright, Matthew Tyler Bettencourt, Timothy D. Pointon, Kristian Beckwith, Eric Christopher Cyr, Richard Michael Jack Kramer, William McDoniel, Sean Miller, Nathan Roberts, Gregg Arthur Radtke, Sidney Shields, Matthew Scot Swan, C. David Turner, Christopher Hudson Moore

https://www.osti.gov/search/identifier:1644576

Camellia: A Rapid Development Framework for Finite Element Solvers

Computational Methods in Applied Mathematics

Nathan V. Roberts

https://www.osti.gov/search/identifier:1501632