Convergence analysis of a Local Discontinuous Galerkin approximation for nonlinear systems with Orlicz-structure

04/21/2022

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by   Alex Kaltenbach, et al.

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In this paper, we investigate a Local Discontinuous Galerkin (LDG) approximation for systems with Orlicz-structure. We propose a new numerical flux, which yields optimal convergence rates for linear ansatz functions. In particular, for problems with (p,δ)-structure for arbitrary p ∈ (1,∞) and δ≥ 0, our approach yields a unified treatment.