Title: Local Time Stepping for Discrete Exterior Calculus on Space-Time Mesh with Refinements
Abstract: A geometrical method for solving wave equations on a space-time mesh is studied. The construction can be used for local mesh refinement both in space and time or efficient and simple simulation of moving domains. The construction uses a pair of mesh and dual mesh that is orthogonal with respect to the Lorentz metric. Orthogonality is the key factor in defining a diagonal discrete Hodge operator, which can then be efficiently used for explicit time-stepping.
Publication Year: 2023
Publication Date: 2023-01-01
Language: en
Type: preprint
Indexed In: ['crossref']
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Cited By Count: 1
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