Jones Doss, L. ; Pani, Amiya K. (2005) A qualocation method for a unidimensional single phase semilinear Stefan problem IMA Journal of Numerical Analysis, 25 (1). pp. 139-159. ISSN 0272-4979
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Official URL: http://imajna.oxfordjournals.org/content/25/1/139....
Related URL: http://dx.doi.org/10.1093/imanum/drh010
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 H1-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∞(Wj,∞), j = 0,1, and L∞ (Hj), j = 0,1,2, norms for a semidiscrete scheme without any quasi-uniformity assumption on the finite element mesh.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Oxford University Press. |
| Keywords: | Singlephase Stefan Problem; Front Fixing Technique; Qualocation Method; Gauss Quadrature |
| ID Code: | 81958 |
| Deposited On: | 09 Feb 2012 04:45 |
| Last Modified: | 09 Feb 2012 04:45 |
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