DSpace
 

DSpace at IIT Bombay >
IITB Publications >
Article >

Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/jspui/handle/10054/10035

Title: The effect of spatial quadrature on the semidiscrete finite element Galerkin method for a strongly damped wave equation
Authors: SINHA, RK
PANI, AK
CHUNG, SK
Keywords: order hyperbolic equations
convergence
Issue Date: 2003
Publisher: MARCEL DEKKER INC
Citation: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 24(3-4), 311-325
Abstract: 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.
URI: http://dx.doi.org/10.1081/NFA-120022925
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10035
http://hdl.handle.net/10054/10035
ISSN: 0163-0563
Appears in Collections:Article

Files in This Item:

There are no files associated with this item.

View Statistics

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Valid XHTML 1.0! DSpace Software Copyright © 2002-2010  Duraspace - Feedback