Record Details

A qualocation method for a unidimensional single phase semilinear Stefan problem

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title A qualocation method for a unidimensional single phase semilinear Stefan problem
 
Creator DOSS, LJ
PANI, AK
 
Subject partial-differential-equations
boundary-value-problems
one space dimension
parabolic equations
collocation method
quadrature
growth
singlephase stefan problem
front fixing technique
qualocation method
gauss quadrature
h-1-galerkin method
interpolation inequality
semidiscrete scheme
optimal error estimates
 
Description Based on straightening the free boundary, a qualocation method is proposed and analysed for a single phase unidimensional Stefan problem. This method may be considered as a discrete version of the H-1-Galerkin method in which the discretization is achieved by approximating the integrals by a composite Gauss quadrature rule. Optimal error estimates are derived in L-infinity(W-j,W-infinity), j = 0, 1, and L-infinity(H-j), j = 0, 1, 2, norms for a semidiscrete scheme without any quasi-uniformity assumption on the finite element mesh.
 
Publisher OXFORD UNIV PRESS
 
Date 2011-08-19T11:37:18Z
2011-12-26T12:56:13Z
2011-12-27T05:44:35Z
2011-08-19T11:37:18Z
2011-12-26T12:56:13Z
2011-12-27T05:44:35Z
2005
 
Type Article
 
Identifier IMA JOURNAL OF NUMERICAL ANALYSIS, 25(1), 139-159
0272-4979
http://dx.doi.org/10.1093/imanum/drh010
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10338
http://hdl.handle.net/10054/10338
 
Language en