3 papers
cs.MS2025
An abstraction for solving multi-domain problems using finite element methods
Koki Sagiyama, Lawrence Mitchell, David A. Ham
We introduce a new abstraction for the representation and solution of multi-domain problems using finite element methods. This is an advance over previous work in that it achieves…
math.NA2024
An accurate SUPG-stabilized continuous Galerkin discretization for anisotropic heat flux in magnetic confinement fusion
Golo A. Wimmer, Ben S. Southworth, Koki Sagiyama +1
We present a novel spatial discretization for the anisotropic heat conduction equation, aimed at improved accuracy at the high levels of anisotropy seen in a magnetized plasma, for…
cs.DC2024
Efficient N-to-M Checkpointing Algorithm for Finite Element Simulations
David A. Ham, Vaclav Hapla, Matthew G. Knepley +2
In this work, we introduce a new algorithm for N-to-M checkpointing in finite element simulations. This new algorithm allows efficient saving/loading of functions representing phys…