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
asQ: parallel-in-time finite element simulations using ParaDiag for geoscientific models and beyond
Joshua Hope-Collins, Abdalaziz Hamdan, Werner Bauer +2
Modern high performance computers are massively parallel; for many PDE applications spatial parallelism saturates long before the computer's capability is reached. Parallel-in-time…
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…