On a FEM--BEM Formulation for an Exterior Quasilinear Problem in the Plane

Authors:
Salim Meddahi;María González;Pablo Pérez
Affiliations:
-;-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2000

Citing 0
Cited 5

A combination of spectral and finite elements for an exterior problem in the plane

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A new BEM-FEM coupling strategy for two-dimensional fluid-solid interaction problems

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Fully discrete FEM-BEM method for a class of exterior nonlinear parabolic-elliptic problems in 2D

Applied Numerical Mathematics - Selected papers from the first Chilean workshop on numerical analysis of partial differential equations (WONAPDE 2004)
Analysis of the coupling of BEM, FEM and mixed-FEM for a two-dimensional fluid--solid interaction problem

Applied Numerical Mathematics
Coupling at a Distance HDG and BEM

SIAM Journal on Scientific Computing

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Abstract

We use a version of the FEM--BEM method introduced by Costabel [ Boundary Elements IX, Vol. 1, C. A. Brebbia et al., eds., Springer-Verlag, 1987] and Han [ J. Comput. Math., 8 (1990), pp. 223--232] to discretize an exterior quasilinear problem. We provide error estimates for the Galerkin method and propose a fully discrete scheme based on simple quadrature formulas. Furthermore, we show that these numerical integration schemes preserve the optimal rates of convergence. Finally, we present results of numerical experiments involving our discretization method.