A qualocation method for a unidimensional single phase semilinear Stefan problem

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A qualocation method for a unidimensional single phase semilinear Stefan problem

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Title: A qualocation method for a unidimensional single phase semilinear Stefan problem
Author: DOSS, LJ; PANI, AK
Abstract: 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.
URI: http://dx.doi.org/10.1093/imanum/drh010
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10338
http://hdl.handle.net/10054/10338
Date: 2005


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