Finite volume element method for second order hyperbolic equations

Kumar, Sarvesh ; Nataraj, Neela ; Pani, Amiya K. (2008) Finite volume element method for second order hyperbolic equations International Journal of Numerical Analysis and Modeling, 5 (1). pp. 132-151. ISSN 1705-5105

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Official URL: http://www.math.ualberta.ca/ijnam/Volume-5-2008/No...

Abstract

We discuss a priori error estimates for a semidiscrete piecewise linear finite volume element (FVE) approximation to a second order wave equationin a two-dimensional convex polygonal domain. Since the domain is convexpolygonal, a special attention has been paid to the limited regularity of theexact solution. Optimal error estimates in L2, H1 norms and quasioptimal estimates in L norm are discussed without quadrature and also with numericalquadrature. Numerical results confirm the theoretical order of convergence.

Item Type:Article
Source:Copyright of this article belongs to Global Science Press.
Keywords:Finite Element; Finite Volume Element; Second Order Hyperbolicequation; Semidiscrete Method; Numerical Quadrature; Ritz Projection; Optimalerror Estimates
ID Code:81952
Deposited On:09 Feb 2012 04:47
Last Modified:18 May 2016 23:19

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