(The) immersed interface method for elliptic equations with discontinuous coefficients = 불연속 계수를 갖는 타원형 방정식에 대한 경계함유방법

We analyze an immersed interface finite element method based on linear polynomials on non-interface triangular elements and piecewise linear polynomials on interface triangular elements. The flux jump condition is weakly enforced on the smooth interface. Error estimates are derived in the broken $H^1$-norm and $L^2$-norm. And we cunstruct and analyze a nonconforming immersed interface finite element method with Cartesian triangular grids using piecewise linear basis functions around interface having degrees of freedom on midpoints of edges and Petrov-Galerkin method using the standard linear functions as test functions and derive an error estimates. We also give numerical results for the schemes, which show the optimal order of convergence of the error.
Advisors
Kwak, Do-Youngresearcher곽도영researcher
Publisher
한국과학기술원
Issue Date
2007
Identifier
263458/325007  / 020015174
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 수학전공, 2007.2, [ vi, 41 p. ]

Keywords

immersed interface; discontinous coefficients; finite element method; 유한요소법; 경계함유법; 불연속 계수

URI
http://hdl.handle.net/10203/41890
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=263458&flag=t
Appears in Collection
MA-Theses_Ph.D.(박사논문)
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