Volume 21, 2007Journées d'analyse fonctionnelle et numérique en l'honneur de Michel Crouzeix
|Page(s)||88 - 97|
|Published online||04 December 2007|
A look at how LDG and BEM can be coupled
GIMA, Departamento de Ingeniería Matemática, Universidad de Concepción, Casilla 160–C, Concepción, Chile
2 Departamento de Matemática Aplicada, CPS, Universidad de Zaragoza, 50018 Zaragoza, Spain
In this work we explain the coupling of Local Discontinuous Galerkin and general Boundary Element methods for a class of nonlinear exterior transmission problems. The method is exposed as the discrete coupling of two Neumann–to–Dirichlet operators, one coping with all nonlinearities and source terms and the other for a purely exterior Laplace equation. We show how two separate methods for interior and exterior problems can be coupled at a weak level using a mortar space and how the analysis can be organised with very little interaction of the interior and exterior parts by considering the natural seminorms to measure the influence of the coupling unknown on the different methods.
Mathematics Subject Classification: 65N30 / 65N38
Key words: Boundary elements / Local Discontinuous Galerkin / coupling / nonlinear problems
© EDP Sciences, ESAIM, 2007
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