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The effect of spatial quadrature on the semidiscrete finite element Galerkin method for a strongly damped wave equation

DSpace at IIT Bombay

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Title The effect of spatial quadrature on the semidiscrete finite element Galerkin method for a strongly damped wave equation
 
Creator SINHA, RK
PANI, AK
CHUNG, SK
 
Subject order hyperbolic equations
convergence
finite element method
semidiscrete
quadrature
nonsmooth data
energy method
error estimate
 
Description The purpose of this article is to study the effect of spatial quadrature on the semidiscrete finite element Galerkin approximations to a linear strongly damped wave equation. Based on a nonstandard energy formulation, optimal order error estimates are derived for all time t > 0. More precisely, for the spatially discrete scheme, optimal order error estimates in L-2 and H-1 norms are proved for nonsmooth initial data. Further, quasi-optimal order error estimate is derived in L-infinity norm for nonsmooth initial data.
 
Publisher MARCEL DEKKER INC
 
Date 2011-08-18T13:39:27Z
2011-12-26T12:55:46Z
2011-12-27T05:42:25Z
2011-08-18T13:39:27Z
2011-12-26T12:55:46Z
2011-12-27T05:42:25Z
2003
 
Type Article
 
Identifier NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 24(3-4), 311-325
0163-0563
http://dx.doi.org/10.1081/NFA-120022925
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10035
http://hdl.handle.net/10054/10035
 
Language en