2 papers
math.NA2024
A new provably stable weighted state redistribution algorithm
Marsha Berger, Andrew Giuliani
We propose a practical finite volume method on cut cells using state redistribution. Our algorithm is provably monotone, total variation diminishing, and GKS stable in many situati…
math.NA2024
Implicit Adaptive Mesh Refinement for Dispersive Tsunami Propagation
Marsha J. Berger, Randall J. LeVeque
We present an algorithm to solve the dispersive depth-averaged Serre-Green-Naghdi (SGN) equations using patch-based adaptive mesh refinement. These equations require adding additio…