Istituto di Matematica Applicata e Tecnologie Informatiche     
Stefanelli U. Error control for a time-discretization of the full one-dimensional Fremond model for shape memory alloys. Preprint ercim.cnr.ian//1999-1149, 1999.
This note deals with a one-dimensional initial-boundary value problem related to the Fremond thermomechanical model of structural phase transitions in shape memory materials. A semi-implicit time-discretization with variable step of the problem is discussed and an a priori estimate for the discretization error is recovered. The latter shows an optimal order of convergence, depends solely on data and imposes no constraints between consecutive time steps.
Subject Shape memory alloys, time discretization, error estimates
80A22, 35K55, 65M15

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