On the Coupled of NBEM and FEM for an Anisotropic Quasilinear Problem in Elongated Domains

• 作者: Baoqing Liu Qikui Du
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: QUASILINEAR ELLIPTIC EQUATION ELLIPTIC Artificial Boundary Natural INTEGRAL EQUATION
• 年，卷（期）: 2012,（2）
• 页码范围: 143-155
• 页数: 13页
• 分类号: O1

摘要

In this paper, based on the Kirchhoff transformation, the coupling of natural boundary element method and finite element method are discussed for solving exterior anisotropic quasilinear problems with elliptic artificial boundary. By the principle of the natural boundary reduction, we obtain natural integral equation on elliptic artificial boundaries, the coupled variational problem and its numerical method. Moreover, the convergence and error estimate of the approximate solutions are obtained. Finally, some numerical examples are presented to illuminate the feasibility of the method.