ERROR ESTIMATES FOR SPACE-TIME DISCRETIZATIONS OF A RATE-INDEPENDENT VARIATIONAL INEQUALITY

作者：Mielke Alexander^*; Paoli Laetitia; Petrov Adrien; Stefanelli Ulisse

来源：SIAM Journal on Numerical Analysis, 2010, 48(5): 1625-1646.

DOI：10.1137/090750238

• evolutionary variational inequalities
• rate-independent processes
• space-time discretization
• error estimates
• strain gradient plasticity
• shape-memory alloys

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 classical strain gradient plasticity and the isothermal Souza-Auricchio model for shape-memory alloys.

• 出版日期2010