A posteriori error estimates for a time discrete scheme for a phase-field system of Penrose-Fife type
- Klein, Olaf
- Verdi, Claudio
2010 Mathematics Subject Classification
- 65M15 35K60 80A22 35K45
- phase-field model, semidiscretization, a posteriori error estimates
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 to estimate the difference between continuous and semidiscrete solutions by quantities that can be calculated from the approximation and given data.
- IMA Journal of Numerical Analysis, 23 (2003), pp. 55-80