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An Improved Finite Element Method by Adding Arbitrary Nodes in a Domain

임의의 절점 추가에 의한 개선 유한요소법

  • 김현규 (서울산업대학교 기계공학과)
  • Published : 2006.12.01

Abstract

In the present paper, in the context of the meshless interpolation of a moving least squares (MLS) type, a novel method which uses primary and secondary nodes in the domain and on the global boundary is introduced, in order to improve the accuracy of solution. The secondary nodes can be placed at any location where one needs to obtain a better resolution. The support domains for the shape functions in the MLS approximation are defined from the primary nodes, and the secondary nodes use the same support domains. The shape functions based on the MLS approximation, in an integration domain, have a single type of a rational function, which reduces the difficulty of numerical integration to evaluate the weak form. The present method is very useful in an adaptive calculation, because the secondary nodes can be easily added and moved without an additional mesh. Several numerical examples are presented to illustrate the effectiveness of the present method.

Keywords

Finite Element Methods;Meshless Methods;Moving Least Square;Numerical Integration

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