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Building Space-Time Meshes over Arbitrary Spatial Domains

Jeff Erickson·Damrong Guoy·John M. Sullivan·Alper Üngör
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Abstract

We present an algorithm to construct meshes suitable for space-time discontinuous Galerkin finite-element methods. Our method generalizes and improves the `Tent Pitcher' algorithm of Üngör and Sheffer. Given an arbitrary simplicially meshed domain M of any dimension and a time interval [0,T], our algorithm builds a simplicial mesh of the space-time domain Mx[0,T], in constant time per element. Our algorithm avoids the limitations of previous methods by carefully adapting the durations of space-time elements to the local quality and feature size of the underlying space mesh.

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Jeff Erickson, Damrong Guoy, John M. Sullivan, Alper Üngör. 2002-06-01. Building Space-Time Meshes over Arbitrary Spatial Domains. https://arxiv.org/abs/cs/0206002

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