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|Title:||A qualocation method for a unidimensional single phase semilinear Stefan problem|
One Space Dimension
|Publisher:||OXFORD UNIV PRESS|
|Citation:||IMA JOURNAL OF NUMERICAL ANALYSIS, 25(1), 139-159|
|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.|
|Appears in Collections:||Article|
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