An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form

An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form

Optimal error estimates in L2, H1 and H2-norm are established for a single phase Stefan problem with quasilinear parabolic equation in non-divergence form by an H1-Galerkin procedure.

Bibliographic Details
Main Authors: A. K. Pani, P. C. Das
Format: Article
Language:English
Published: Hindawi Limited 1987-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
H1-Galerkin procedure
finite element approximation
nonlinear Stefan problem
non-divergence form
error analysis.
Online Access:http://dx.doi.org/10.1155/S0161171287000413
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spelling doaj-19bfaed866cc4312957726c609543a9b2020-11-24T20:57:58ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110234536010.1155/S0161171287000413An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence formA. K. Pani0P. C. Das1Department of Mathematics, I.I.T., Kanpur 208016, IndiaDepartment of Mathematics, I.I.T., Kanpur 208016, IndiaOptimal error estimates in L2, H1 and H2-norm are established for a single phase Stefan problem with quasilinear parabolic equation in non-divergence form by an H1-Galerkin procedure.http://dx.doi.org/10.1155/S0161171287000413H1-Galerkin procedurefinite element approximationnonlinear Stefan problemnon-divergence formerror analysis.
collection DOAJ
language English
format Article
sources DOAJ
author A. K. Pani
P. C. Das
spellingShingle A. K. Pani
P. C. Das
An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form
International Journal of Mathematics and Mathematical Sciences
H1-Galerkin procedure
finite element approximation
nonlinear Stefan problem
non-divergence form
error analysis.
author_facet A. K. Pani
P. C. Das
author_sort A. K. Pani
title An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form
title_short An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form
title_full An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form
title_fullStr An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form
title_full_unstemmed An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form
title_sort h1-galerkin method for a stefan problem with a quasilinear parabolic equation in non-divergence form
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1987-01-01
description Optimal error estimates in L2, H1 and H2-norm are established for a single phase Stefan problem with quasilinear parabolic equation in non-divergence form by an H1-Galerkin procedure.
topic H1-Galerkin procedure
finite element approximation
nonlinear Stefan problem
non-divergence form
error analysis.
url http://dx.doi.org/10.1155/S0161171287000413
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