Meshless analysis of an improved element-free Galerkin method for linear and nonlinear elliptic problems

• 来源期刊: 中国物理B（英文版）
• 关键词: meshless method moving least squares approximation element-free Galerkin method error estimate
• 年，卷（期）: 2017,（3）
• 页码范围: 215-225
• 页数: 11页
• 语种: 英文
• DOI: 10.1088/1674-1056/26/3/030203

摘要

We first give a stabilized improved moving least squares (IMLS) approximation,which has better computational stability and precision than the IMLS approximation.Then,analysis of the improved element-free Galerkin method is provided theoretically for both linear and nonlinear elliptic boundary value problems.Finally,numerical examples are given to verify the theoretical analysis.