Error analysis for discontinuous Galerkin time-stepping methods for nonlinear parabolic equations via maximal regularity
Numerical Analysis
2024-12-12 v1 Numerical Analysis
Abstract
We consider the discretization of a class of nonlinear parabolic equations by discontinuous Galerkin time-stepping methods and establish a priori as well as conditional a posteriori error estimates. Our approach is motivated by the error analysis in [9] for Runge-Kutta methods for nonlinear parabolic equations; in analogy to [9], the proofs are based on maximal regularity properties of discontinuous Galerkin methods for non-autonomous linear parabolic equations.
Cite
@article{arxiv.2412.08375,
title = {Error analysis for discontinuous Galerkin time-stepping methods for nonlinear parabolic equations via maximal regularity},
author = {Georgios Akrivis and Stig Larsson},
journal= {arXiv preprint arXiv:2412.08375},
year = {2024}
}
Comments
25 pages