Abstract
We study a parabolic system with p(t,x)-structure under Dirichlet boundary conditions. In particular, we deduce the optimal convergence rate for the error of the gradient of a finite element-based space-time approximation. The error is measured in the quasi norm and the result holds if the exponent p(t,x) is (αt,αx)-Hölder continuous.
Original language | English |
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Pages (from-to) | 2505–2552 |
Number of pages | 48 |
Journal | IMA Journal of Numerical Analysis |
Volume | 40 |
Issue number | 4 |
Early online date | 18 Nov 2019 |
DOIs | |
Publication status | Published - Oct 2020 |