Year: 2008
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 1 : pp. 132–151
Abstract
We discuss a priori error estimates for a semidiscrete piecewise linear finite volume element (FVE) approximation to a second order wave equation in a two-dimensional convex polygonal domain. Since the domain is convex polygonal, a special attention has been paid to the limited regularity of the exact solution. Optimal error estimates in $L^2$, $H^1$ norms and quasi-optimal estimates in $L^∞$ norm are discussed without quadrature and also with numerical quadrature. Numerical results confirm the theoretical order of convergence.
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/2008-IJNAM-803
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 1 : pp. 132–151
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: finite element finite volume element second order hyperbolic equation semidiscrete method numerical quadrature Ritz projection optimal error estimates.