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오목 다각형 영역에서의 타원형 편미분 방정식들에 대한 유한요소법과 수치실험

Title
오목 다각형 영역에서의 타원형 편미분 방정식들에 대한 유한요소법과 수치실험
Authors
김영표
Date Issued
2011
Publisher
포항공과대학교
Abstract
In this dissertation, we study the Poisson problem with homogeneous boundary datum in a finite polyhedral cylinder with a non-convex edge. Applying the Fourier sine series to the equation along the edge and by a corner singularity expansion for the Poisson problem with parameter, we defne the edge flux coefficient and the regular part of the solution on the polyhedral cylinder. We present the Fourier-finite element method for approximating the edge flux coefficient and the regular part. We show the stability and derive error estimates. Some numerical simulations are presented. Furthermore, we give a numerical simulation for a compressible viscous Stokes system on non-convex polygonal domains and confirm the theoretical results by the numerical examples.
URI
http://postech.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000000893962
http://oasis.postech.ac.kr/handle/2014.oak/939
Article Type
Thesis
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