(A) dual-primal FETI domain decomposition method for the poisson problem = 포아송 방정식에 대한 FETI-DP 영역 분할법

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In this thesis, a dual-primal FETI method is applied for one dimensional Poisson problem with Dirichlet boundary condition. The domains of the problem is decomposed into nonoverlapping subdomains and the continuity of displacement on the interfaces between subdomains is enforced by the Lagrange multiplier and the continuity at corner points of subdomains are enforced exactly. By formulating FETI-DP method, we obtained a symmetric and positive definite system for Lagrange multipliers that are defined on interfaces between subdomains except corner points. We adapt the conjugate gradient method to solve the system. From the numerical result for this problem, we show that FETI-DP method is stable for the number of subdomains and meshes. Also demonstrate the optimal order of convergence of Q(h) is demonstrated as in the standard finite element spaces.
Advisors
Lee, Chang-Ockresearcher이창옥researcher
Description
한국과학기술원 : 응용수학전공,
Publisher
한국과학기술원
Issue Date
2002
Identifier
177033/325007 / 020003834
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 응용수학전공, 2002.8, [ [ii], 19 p. ]

Keywords

FETI-DP; 포아송; Poisson

URI
http://hdl.handle.net/10203/42055
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=177033&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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