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Comparision of the meshless method and the finite element method on imposing the boundary conditions

Fenglin Li

Abstract

Introduce the characteristics of the meshless method and the finite element method respectively.Then,based on weighted residual method,expatiate on imposing the essential boundary conditions of the meshless method and comparision with the finite element method.At last,examples testify to the feasibility of various approaches.

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Available abstract

Key concepts: Regularized meshless method, Singular boundary method, Finite element method, Meshfree methods, Boundary knot method, Method of fundamental solutions, Method of mean weighted residuals, Boundary (topology)