Discontinuous Galerkin method for problems with nonlinear Newton boundary conditions

• ID: 2373, RIV: 10031261
• ISSN: not specified, ISBN: 80-7043-426-0
• source: Software and Algorithms of Numerical Mathematics
• keywords: Discontinuous; Galerkin; method; problems; nonlinear; Newton; boundary; conditions
• authors: Karel Najzar
• authors from KNM: not assigned

Abstract

A discontinuous Galerkin formulation of the Poisson equation with a nonlinear Newton boundary condition is given. Existence, uniqueness are studied and error estimates are derived. Theoretical results are illustrated by several numerical examples.