3 papers
math.NA2026
Subdivision -Form Spaces within the Finite Element Exterior Calculus Framework
Robert Piel, Werner Bauer
This paper introduces discrete differential form spaces over two-dimensional manifold meshes that feature enhanced subdivision-induced inter-element regularity compared to conventi…
math.NA2025
Fully implicit timestepping methods for the rotating shallow water equations
Werner Bauer, Colin J. Cotter
Fully implicit timestepping methods have several potential advantages for atmosphere/ocean simulation. First, being unconditionally stable, they degrade more gracefully as the Cour…
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…