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Abstract A straightforward method for generating simplex space–time meshes is presented, allowing arbitrary temporal refinement in selected portions of space–time slabs. The method increases the flexibility of space–time discretizations, even in the absence of dedicated space–time mesh generation tools. The resulting tetrahedral (for 2D problems) and pentatope (for 3D problems) meshes are tested in the context of advection–diffusion equation, and are shown to provide reasonable solutions, while enabling varying time refinement in portions of the domain. Copyright © 2008 John Wiley & Sons, Ltd.
Marek Behr (Mon,) studied this question.