Record Details

Finite volume element method for second order hyperbolic equations

DSpace at IIT Bombay

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Field Value
 
Title Finite volume element method for second order hyperbolic equations
 
Creator KUMAR, S
NATARAJ, N
PANI, AK
 
Subject approximations
quadrature
finite element
finite volume element
second order hyperbolic equation
semidiscrete method
numerical quadrature
ritz projection
optimal error estimates
 
Description 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.
 
Publisher ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
 
Date 2011-08-04T06:59:45Z
2011-12-26T12:54:36Z
2011-12-27T05:42:41Z
2011-08-04T06:59:45Z
2011-12-26T12:54:36Z
2011-12-27T05:42:41Z
2008
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 5(1), 132-151
1705-5105
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9277
http://hdl.handle.net/10054/9277
 
Language en