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arXiv · 2502.13655

A quasi-optimal space-time FEM with local mesh refinements for parabolic problems

Lars Diening·Rob Stevenson·Johannes Storn
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Abstract

We present a space-time finite element method for the heat equation that computes quasi-optimal approximations with respect to natural norms while incorporating local mesh refinements in space-time. The discretized problem is solved with a conjugate gradient method with a (nearly) optimal preconditioner.

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Lars Diening, Rob Stevenson, Johannes Storn. 2025-02-19. A quasi-optimal space-time FEM with local mesh refinements for parabolic problems. https://arxiv.org/abs/2502.13655

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