TY - GEN A1 - Mielke, Alexander A1 - Paoli, Laetitia A1 - Petrov, Adrien A1 - Stefanelli, Ulisse T1 - Error estimates for space-time discretizations of a rate-independent variational inequality N2 - This paper deals with error estimates for space-time discretizations in the context of evolutionary variational inequalities of rate-independent type. After introducing a general abstract evolution problem, we address a fully-discrete approximation and provide a priori error estimates. The application of the abstract theory to a semilinear case is detailed. In particular, we provide explicit space-time convergence rates for the isothermal Souza-Auricchio model for shape-memory alloys. KW - shape-memory materials KW - evolutionary variational inequalities KW - rate-independent processes KW - space-time discretization KW - error estimates Y1 - 2009 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/577 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-5777 ER -