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arXiv · 1610.06814

A convergent time-space adaptive dG(s) finite element method for parabolic problems motivated by equal error distribution

Fernando Gaspoz·Christian Kreuzer·Kunibert Siebert·Daniel Ziegler
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Abstract

We shall develop a fully discrete space-time adaptive method for linear parabolic problems based on new reliable and efficient a posteriori analysis for higher order dG(s) finite element discretisations. The adaptive strategy is motivated by the principle of equally distributing the a posteriori indicators in time and the convergence of the method is guaranteed by the uniform energy estimate from [KreuzerM\"ollerSchmidtSiebert:12] under minimal assumptions on the regularity of the data.

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Fernando Gaspoz, Christian Kreuzer, Kunibert Siebert, Daniel Ziegler. 2016-10-21. A convergent time-space adaptive dG(s) finite element method for parabolic problems motivated by equal error distribution. https://arxiv.org/abs/1610.06814

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