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Solving laplace and poisson equation using PETSc

Title
Solving laplace and poisson equation using PETSc
Authors
최윤지
Issue Date
1999
Department/Major
대학원 수학과
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
2차원에서 elliptic problem을 풀기 위하여 Multigrid 방법과 Domain decomposition 방법을 알아본다. Coarse grid correction과 Additive Schwarz 방법을 이용하여 Laplace 방정식과 poisson 방정식의 근사해를 구하였다. 이논문에서는 PETSc를 이용하여 mesh dimension과 수렴성, subdomain의 수와 수렴성 그리고 overlap의 크기와 수렴성의 관계를 보이는 수치적 실험을 하였다. ; In this paper, we study an iterative method for elliptic problems in two dimensions. First we give an overview of the Multi-grid methods(MG) and Domain Decomposition methods(DD) and themn we solve Laplace equation and poisson equation using MG and DD methods. A Coarse grid correction technique and Additive Schwarz method are considered. All the numerical experiments are tested through a package PETSc developed by Gro and Smith[13].
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일반대학원 > 수학과 > Theses_Master
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