A time discrete scheme is used to approximate the solution to a phase field system of Penrose-Fife type with a non-conserved order parameter. An a posteriori error estimate is presented that allows the estimation of the difference between continuous and semidiscrete solutions by quantities that can be calculated from the approximation and given data.
A posteriori error estimates for a time discrete scheme for a phase-field system of Penrose-Fife type / O. Klien, C. Verdi. - In: IMA JOURNAL OF NUMERICAL ANALYSIS. - ISSN 0272-4979. - 23:1(2003), pp. 55-80.
A posteriori error estimates for a time discrete scheme for a phase-field system of Penrose-Fife type
C. VerdiUltimo
2003
Abstract
A time discrete scheme is used to approximate the solution to a phase field system of Penrose-Fife type with a non-conserved order parameter. An a posteriori error estimate is presented that allows the estimation of the difference between continuous and semidiscrete solutions by quantities that can be calculated from the approximation and given data.
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