| Issue |
ESAIM: M2AN
Volume 57, Number 3, May-June 2023
|
|
|---|---|---|
| Page(s) | 1381 - 1411 | |
| DOI | https://doi.org/10.1051/m2an/2023028 | |
| Published online | 12 May 2023 | |
Convergence analysis of a Local Discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure
Department of Applied Mathematics, University of Freiburg, Ernst–Zermelo-Straße 1, D-79104 Freiburg, Germany
* Corresponding author: rose@mathematik.uni-freiburg.de
Received:
18
July
2022
Accepted:
23
March
2023
In this paper, we investigate a Local Discontinuous Galerkin (LDG) approximation for systems with balanced Orlicz-structure. We propose a new numerical flux, which yields optimal convergence rates for linear ansatz functions. In particular, our approach yields a unified treatment for problems with (p, δ)-structure for arbitrary p ∈ (1, ∞) and δ ≥ 0.
Mathematics Subject Classification: 35J92 / 65N30 / 65N12 / 65N15 / 46E30
Key words: Discontinuous Galerkin method / convergence analysis / error bounds / degenerate elliptic systems / DG spaces
© The authors. Published by EDP Sciences, SMAI 2023
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