A modification finite element immersed methods for elliptic problems타원형 문제에 대한 경계함유 유한요소법의 개량

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In this dissertation, we discuss the Finite Element Immersed Interface Methods for solving elliptic problems. The research on Immersed Finite Elements is motivated by many real world applications. Solving interface problems has some difficult. On intersection of elements, local basis functions have a gap. We conjecture that it induces errors. So, we complement this matter through Discontinuous Galerkin Methods. Discontinuous Galerkin Methods use discontinuous piecewise polynomial spaces to approximate the solution of partial differential equations in variational form. Discontinuous Galerkin Methods have various versions. We correct our coding by adding some terms and compare past numerical result and our result.
Advisors
Kwak, Do-Youngresearcher곽도영
Description
한국과학기술원 : 수리과학과,
Publisher
한국과학기술원
Issue Date
2014
Identifier
569120/325007  / 020123500
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수리과학과, 2014.2, [ ii, 17 p. ]

Keywords

finite element method; 타원형문제; 부연속개럴킨방법; 경계함유; 유한요소법; elliptic problems; immersed interface method; discontinuous galerkin method

URI
http://hdl.handle.net/10203/198131
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=569120&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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