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arXiv · 2212.11540

A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations

Torsten Linß·Natalia Kopteva·Goran Radojev·Martin Ossadnik
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Abstract

A posteriori error estimates in the maximum norm are studied for various time-semidiscretisations applied to a class of linear parabolic equations. We summarise results from the literature and present some new improved error bounds. Crucial ingredients are certain bounds in the $L_1$ norm for the Green's function associated with the parabolic operator and its derivatives.

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Torsten Linß, Natalia Kopteva, Goran Radojev, Martin Ossadnik. 2022-12-22. A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations. https://arxiv.org/abs/2212.11540

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