MLS(Moving Least Square)-based finite elements and their applications = 이동최소제곱법기반 유한요소 및 그의 응용

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A new class of finite elements based on MLS(Moving Least Square) approximation are proposed. The presented elements have an arbitrary number of nodes at the element edges in master domain with the aid of MLS-approximation. Although its shape functions are derived from MLS-approximations, they maintain the point interpolation by making a special choice of the domain of influence of each node and polynomial basis. Due to this feature, numerical integration is straightforwardly accomplished by Gaussian integration. Two and three dimensional useful elements are devised for nonmatching meshes which are difficult and inefficient in the conventional finite elements methods. The present scheme extends trial function space to the space in which $C^1$ continuity are relaxed. For the verification of performance and efficiency, several examples including nonmatching meshes, adaptive mesh refinement and contact problems are demonstrated.
Advisors
Im, Se-Youngresearcher임세영researcher
Description
한국과학기술원 : 기계공학전공,
Publisher
한국과학기술원
Issue Date
2006
Identifier
258077/325007  / 020025258
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 기계공학전공, 2006.8, [ ix, 99 p. ]

Keywords

Moving Least Square; nonmatching meshes; 불일치요소망; 이동최소제곱

URI
http://hdl.handle.net/10203/43248
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=258077&flag=dissertation
Appears in Collection
ME-Theses_Ph.D.(박사논문)
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