Convergence analysis of a Local Discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure
| Autor: | Kaltenbach, Alex, Růžička, Michael |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $(p,\delta)$-structure for arbitrary $p \in (1,\infty)$ and $\delta\ge 0$. Comment: 27 pages, 3 figures, 3 tables |
| Databáze: | arXiv |
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