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An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy

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Summary.

An error bound is proved for a fully practical piecewise linear finite element approximation, using a backward Euler time discretization, of the Cahn-Hilliard equation with a logarithmic free energy.

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Authors and Affiliations

  1. Department of Mathematics, Imperial College, London, SW7 2BZ, U.K. , , , , , , GB

    John W. Barrett

  2. Department of Mathematical Sciences, University of Durham, DH1 3LE, U.K. , , , , , , GB

    James F. Blowey

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  1. John W. Barrett
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  2. James F. Blowey
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Received October 12, 1994

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Barrett, J., Blowey, J. An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy . Numer Math 72, 1–20 (1995). https://doi.org/10.1007/s002110050157

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  • DOI: https://doi.org/10.1007/s002110050157

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