Year: 2013
East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 2 : pp. 154–170
Abstract
We obtain the coefficient matrices of the finite element (FE), finite volume (FV) and finite difference (FD) methods based on $P_1$-conforming elements on a quasi-uniform mesh, in order to approximately solve a boundary value problem involving the elliptic Poisson equation. The three methods are shown to possess the same $H^1$-stability and convergence. Some numerical tests are made, to compare the numerical results from the three methods and to review our theoretical results.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.030513.200513a
East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 2 : pp. 154–170
Published online: 2013-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Stefan problems Godunov method solidification enthalpy cryosurgery. Finite element method finite difference method finite volume method Poisson equation stability and convergence.