An optimal error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy
Department of Mathematics, Imperial College, London,
SW7 2BZ, United Kingdom. firstname.lastname@example.org.
2 Department of Mathematical Sciences, South Road, Durham, DH1 3LE, United Kingdom.
Using the approach in  for analysing time discretization error and assuming more regularity on the initial data, we improve on the error bound derived in  for a fully practical piecewise linear finite element approximation with a backward Euler time discretization of a model for phase separation of a multi-component alloy with non-smooth free energy.
Mathematics Subject Classification: 65M60 / 65M15 / 35K55 / 35K35
Key words: Finite elements / error analysis / Cahn-Hilliard / phase separation.
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