A LDG-BEM Coupling for a Class of Nonlinear Exterior Transmission Problems

Rommel Bustinza (), Gabriel N. Gatica () and Francisco-Javier Sayas ()
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Rommel Bustinza: Universidad de Concepción, Departamento de Ingeniería Matemáaica
Gabriel N. Gatica: Universidad de Concepción, Departamento de Ingeniería Matemática
Francisco-Javier Sayas: Universidad de Zaragoza, Centro Politécnico Superior, Departamento de Matemática Aplicada

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 1129-1136 from Springer

Abstract: Abstract We consider the coupling of local discontinuous Galerkin (LDG) and boundary element methods (BEM) for a class of nonlinear exterior transmission boundary value problems in the plane. We introduce suitable numerical fluxes in order to obtain the LDG formulation, and additional unknowns to couple it with the BEM formulation. Finally, we show that the rates of convergence are optimal with respect to the mesh size.

Keywords: Boundary Element Method; Posteriori Error; SIAM Journal; Discontinuous Galerkin Method; Polygonal Boundary (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_113

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DOI: 10.1007/978-3-540-34288-5_113

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