四边形的
离散化
伽辽金法
不连续性分类
间断伽辽金法
移动最小二乘法
数学
有限元法
Dirichlet边界条件
数值积分
边界(拓扑)
接口(物质)
拉格朗日乘数
应用数学
数学分析
计算机科学
数学优化
结构工程
工程类
气泡
最大气泡压力法
并行计算
作者
Zahra Jannesari,Mehdi Tatari
摘要
The purpose of this paper is to develop the element-free Galerkin method for a numerical simulation of the second-order elliptic equation with discontinuous coefficients. Discontinuities in the solution and in its normal derivatives are prescribed on an interface inside the domain. The proposed method is one of the powerful meshless methods based on moving least squares approximation. The element-free Galerkin method uses only a set of nodal points to discretize the governing equation. No mesh in the classical sense is needed, but a background mesh is used for integration purpose. A quadrilateral mesh unfitted with the interface is used for integration objective. The Lagrange multipliers are used to enforce both Dirichlet boundary condition and Dirichlet jump condition. The presented numerical experiments confirm the efficiency of the proposed method in comparison with some existing methods for interface problems. Copyright © 2016 John Wiley & Sons, Ltd.
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