Geodesic
A look at how LDG and BEM can be coupled
Rommel A. Bustinza1 ; Gabriel N. Gatica1 ; Francisco–Javier Sayas2
1 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
ESAIM. Proceedings, Tome 21 (2007), pp. 88-97 Cet article a éte moissonné depuis la source EDP Sciences

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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.
DOI : 10.1051/proc:072107

Rommel A. Bustinza 1 ; Gabriel N. Gatica 1 ; Francisco–Javier Sayas 2

1 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 
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     author = {Rommel A. Bustinza and Gabriel N. Gatica and Francisco{\textendash}Javier Sayas},
     title = {A look at how {LDG} and {BEM} can be coupled},
     journal = {ESAIM. Proceedings},
     pages = {88--97},
     year = {2007},
     volume = {21},
     doi = {10.1051/proc:072107},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:072107/}
}
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Rommel A. Bustinza; Gabriel N. Gatica; Francisco–Javier Sayas. A look at how LDG and BEM can be coupled. ESAIM. Proceedings, Tome 21 (2007), pp. 88-97. doi: 10.1051/proc:072107

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