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Using the approach in (5) for analysing time discretization error and assuming more reg- ularity on the initial data} we improve on the error bound derived in (2) for a fully practical piecewise linear finite element approximation with a backward Euler time discretization of a model for phase séparation of a multi-component alloy with non-smooth free energy.

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