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A posteriori error estimates for a time discrete scheme for a phase-field system of Penrose-Fife type |
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| Authors: | Klein Olaf; Verdi Claudio |
| Affiliation: | 1 Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany 2 Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133 Milano, Italy |
| Abstract: | A time discrete scheme is used to approximate the solution toa phase field system of Penrose–Fife type with a non-conservedorder parameter. An a posteriori error estimate is presentedthat allows the estimation of the difference between continuousand semidiscrete solutions by quantities that can be calculatedfrom the approximation and given data. |
| Keywords: | phase-field model semidiscretization a posteriori error estimates |
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