On a FEM--BEM formulation for an exterior quasilinear problem in the plane
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On a FEM--BEM formulation for an exterior quasilinear problem in the planeData
2000-05Cita bibliográfica
S. Meddahi, M. González, P. Pérez, On a FEM-BEM formulation for an exterior quasilinear problem in the plane. Siam Journal on Numerical Analysis, 37(6) (May 2000), 1820-1837
Resumo
[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.
Palabras chave
Boundary elements
Nonlinear problems
Finite element
Nonlinear problems
Finite element
Descrición
The publication is available http://dx.doi.org/10.1137/S0036142998335364
Versión do editor
ISSN
0036-1429
1095-7170
1095-7170