An adaptive hp-discontinuous Galerkin approach for nonlinear convection-diffusion problems

• ID: 2582, RIV: 10128271
• ISSN: not specified, ISBN: 978-80-85823-60-8
• source: Proceedings of the International Conference Application of Mathematics 2012
• keywords: adaptive hp-discontinuous Galerkin method; nonlinear convection-diffusion problems; residual error indicators
• authors: Vít Dolejší
• authors from KNM: Dolejší Vít

Abstract

We deal with a numerical solution of nonlinear convection-diffusion equations with the aid of the discontinuous Galerkin method. We propose a new hp-adaptation technique, which is based on a combination of a residuum estimator and a regularity indicator.