Finite volume element method for second order hyperbolic equations

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Finite volume element method for second order hyperbolic equations

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Title: Finite volume element method for second order hyperbolic equations
Author: KUMAR, S; NATARAJ, N; PANI, AK
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 quasioptimal estimates in L-infinity norm are discussed without quadrature and also with numerical quadrature. Numerical results confirm the theoretical order of convergence.
URI: http://dspace.library.iitb.ac.in/xmlui/handle/10054/9277
http://hdl.handle.net/10054/9277
Date: 2008


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