On a FEM-BEM formulation for an exterior quasilinear problem in the plane

被引：16

作者：

Meddahi, S ^{[1
]}

González, M ^{[1
]}

Pérez, P ^{[1
]}

机构：

[1] Univ Oviedo, Dept Matemat, Oviedo 33007, Spain

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2000年 / 37卷 / 06期

关键词：

boundary element; finite element; nonlinear problems;

D O I：

10.1137/S0036142998335364

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1820 / 1837

页数：18

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