39 citations · 128 across the 17 of their papers we have counts for
19 papers
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…
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…
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…
Koopmon trajectories in nonadiabatic quantum-classical dynamics
Werner Bauer, Paul Bergold, François Gay-Balmaz +1
In order to alleviate the computational costs of fully quantum nonadiabatic dynamics, we present a mixed quantum-classical (MQC) particle method based on the theory of Koopman wave…
Casimir-dissipation stabilized stochastic rotating shallow water equations on the sphere
Werner Bauer, Rüdiger Brecht
We introduce a structure preserving discretization of stochastic rotating shallow water equations, stabilized with an energy conserving Casimir (i.e. potential enstrophy) dissipati…
An interpretation of TRiSK-type schemes from a discrete exterior calculus perspective
Christopher Eldred, Werner Bauer
TRiSK-type numerical schemes are widely used in both atmospheric and oceanic dynamical cores, due to their discrete analogues of important properties such as energy conservation an…