Istituto di Matematica Applicata e Tecnologie Informatiche     
Stefanelli U. Analysis of a Variable Time-step Discretization of the Three-Dimensional Fr'emond Model for Shape Memory Alloys. Preprint ercim.cnr.ian//1999-1148, 1999.
This paper deals with a semi-implicit time discretization with variable step of a three-dimensional Fr'emond model for shape memory alloys. Global existence and uniqueness of a solution is discussed. Moreover, an {em a priori} estimate for the discretization error is recovered. The latter depends solely on data, imposes no constraints between consecutive time steps, and shows an optimal order of convergence when referred to a simplified model.
Subject Shape memory alloys, time discretization, existence and uniqueness, error estimate
80A22, 35K55, 65M15

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