Two-sided a posteriori error estimates for the DGMs for the heat equation

• ID: 2742, RIV: 10283552
• ISSN: not specified, ISBN: 978-3-642-33133-6
• source: Numerical mathematics and advanced applications 2011
• keywords: a posteriori error estimates; nonstationary problems; discontinuous Galerkin method
• authors: Ivana Šebestová
• authors from KNM: not assigned

Abstract

A two-sided a posteriori error estimate is derived for the heat equation. The approach is based on the Helmholz decomposition and averaging operators. The behavior of derived estimate is demonstrated on a numerical example.