(A) structured grid method for robin type jump along interface = 로빈 타입 경계 문제를 위한 구조화된 유한 요소법

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The finite element method is developed to solve the partial differential equations (PDEs) numerically. Moreover, the immersed finite element method is invented for PDEs with general interface. In this thesis, we develop a numerical scheme for solving an elliptic PDE with Robin type jump along interface. First, we introduce a biological model problem. Focusing on a simple case, we recall the usual P1 conforming-based finite elements and modify them to satisfy our problem locally. Next, we define a bilinear form to make a weak equation. Finally, we solve the problem numerically with several interface cases and show that the expected convergence order is obtained. Furthermore, we bring this paper to an end with an appendix of the details for a numerical line integration in our bilinear form.
Advisors
Kwak, Doyoungresearcher곽도영researcher
Description
한국과학기술원 :수리과학과,
Publisher
한국과학기술원
Issue Date
2019
Identifier
325007
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수리과학과, 2019.2,[iii, 20 p. :]

Keywords

Immersed Finite Element Method (IFEM)▼arobin type interface elliptic problem▼adiscretization on uniformly structured grids; 경계 함유 유한 요소법▼a로빈 타입 경계 문제▼a균일하게 구조화된 격자 이산화

URI
http://hdl.handle.net/10203/266403
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=843276&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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