Abstract
In this paper we study a time discretization with variable time step of a nonlinear evolution problem which describes the behaviour of materials subjected to multi-component phase transitions with dissipation. Existence and uniqueness of solutions to this model have been investigated in [8] by using a time discretization approach. Nevertheless, no error estimates for the discretization error were shown in [8]. Here, the existence of the solution is recovered by passing to the limit in a new variable step time discretization. Then, optimal order a priori error estimates of the discretization error are shown. These estimates depend solely on data and no constraint is imposed between consecutive time steps.
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