A qualocation method for a unidimensional single phase semilinear Stefan problem |
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| Authors: | Jones Doss, L. Pani, Amiya K. |
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| Affiliation: | 1 School of Mathematics, Anna University, Chennai 600025, India, 2 Industrial Mathematics Group, Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India |
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| Abstract: | Based on straightening the free boundary, a qualocation methodis proposed and analysed for a single phase unidimensional Stefanproblem. This method may be considered as a discrete versionof the H1-Galerkin method in which the discretization is achievedby approximating the integrals by a composite Gauss quadraturerule. Optimal error estimates are derived in L (Wj,), j = 0,1,and L (Hj), j = 0,1,2, norms for a semidiscrete scheme withoutany quasi-uniformity assumption on the finite element mesh. |
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| Keywords: | singlephase Stefan problem front fixing technique qualocation method Gauss quadrature H1-Galerkin method interpolation inequality semidiscrete scheme optimal error estimates |
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