19 citations · 19 across the 5 of their papers we have counts for
5 papers
Multilevel Adaptive-Rank Methods for Linear and Nonlinear Systems in the Hierarchical Tucker Format
William A. Sands, Pierson T. Guthrey, Nathan V. Roberts
We develop multilevel adaptive-rank iterative methods for the solution of linear and nonlinear systems arising from high-dimensional partial differential equations. Our contributio…
Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale
Matthias Mayr, Alexander Heinlein, Christian Glusa +30
Trilinos is a community-developed, open-source software framework that facilitates building large-scale, complex, multiscale, multiphysics simulation code bases for scientific and…
A Robust, Performance-Portable Discontinuous Galerkin Method for Relativistic Hydrodynamics
Forrest W. Glines, Kristian R. C. Beckwith, Joshua R. Braun +10
In this work, we present a discontinuous-Galerkin method for evolving relativistic hydrodynamics. We include an exploration of analytical and iterative methods to recover the primi…
An ultraweak DPG method for viscoelastic fluids
Brendan Keith, Philipp Knechtges, Nathan V. Roberts +3
We explore a vexing benchmark problem for viscoelastic fluid flows with the discontinuous Petrov-Galerkin (DPG) finite element method of Demkowicz and Gopalakrishnan [1,2]. In our…
A Geometric Multigrid Preconditioning Strategy for DPG System Matrices
Nathan V. Roberts, Jesse Chan
The discontinuous Petrov-Galerkin (DPG) methodology of Demkowicz and Gopalakrishnan [15,17] guarantees the optimality of the solution in an energy norm, and provides several featur…