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
https://oasis.postech.ac.kr/handle/2014.oak/939
- Article Type
- Thesis
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.