WIAS Preprint No. 677, (2001)

A posteriori error estimates for a time discrete scheme for a phase-field system of Penrose-Fife type


  • Klein, Olaf
    ORCID: 0000-0002-4142-3603
  • 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.

Appeared in

  • IMA Journal of Numerical Analysis, 23 (2003), pp. 55-80

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