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RESEARCH ON THE COMPANION SOLUTION FOR A THINPLATE IN THE MESHLESS LOCAL BOUNDARYINTEGRAL EQUATION METHOD
作者姓名:龙述尧  熊渊博
作者单位:DepartmentofEngineeringMechanics,HunanUniversity,Changsha410082,P.R.China
基金项目:theNationalNaturalScienceFoundationofChina ( 1 9972 0 1 9)
摘    要:The meshless local boundary integral equation method is a currently developed numerical method, which combines the advantageous features of Galerkin finite element method ( GFEM ), boundary element method (BEM) and element free Galerkin method (EFGM), and is a truly meshless method possessing wide prospects in engineeringapplications. The companion solution and all the other formulas required in the meshless local boundary integral equation for a thin plate were presented, in order to make this method apply to solve the thin plate problem.

关 键 词:薄板  伴随解  无网格边界积分方程  有限元理论  Galerkin理论
收稿时间:13 August 2001

Research on the companion solution for a thin plate in the meshless local boundary integral equation method
Long Shu-yao,Xiong Yuan-bo.RESEARCH ON THE COMPANION SOLUTION FOR A THINPLATE IN THE MESHLESS LOCAL BOUNDARYINTEGRAL EQUATION METHOD[J].Applied Mathematics and Mechanics(English Edition),2004,25(4):418-423.
Authors:Long Shu-yao  Xiong Yuan-bo
Institution:Department of Engineering Mechanics, Hunan University, Changsha 410082, P.R.China
Abstract:The meshless local boundary integral equation method is a currently developed numerical method, which combines the advantageous features of Galerkin finite element method(GFEM), boundary element method(BEM) and element free Galerkin method(EFGM), and is a truly meshless method possessing wide prospects in engineering applications. The companion solution and all the other formulas required in the meshless local boundary integral equation for a thin plate were presented, in order to make this method apply to solve the thin plate problem.
Keywords:thin plate  companion solution  meshless local boundary integral equation method
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