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math.NA2023
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.NA2020
A state redistribution algorithm for finite volume schemes on cut cell meshes
Marsha Berger, Andrew Giuliani
In this paper we develop a new technique, called \textit{state redistribution}, that allows the use of explicit time stepping when approximating solutions to hyperbolic conservatio…