Numerical Analysis of a Class of Evolution Systems Arising in Viscoplasticity
نویسندگان
چکیده
We consider a class of abstract nonlinear evolution systems arising in the study of quasistatic frictionless contact problems for elastic-viscoplastic materials. The variational analysis of such systems, including existence and uniqueness results as well as some properties concerning the behavior of the solution, has been done in 12]. In this paper we consider numerical approximations of this class of systems. We study spatially semi-discrete and fully discrete schemes, with the spatial domain discretized by nite elements. For both schemes, we show the existence of a unique solution, and derive optimal order error estimates. Finally, we apply the abstract results in the numerical analysis of Signorini's problem for viscoplastic materials.
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Numerical Analysis of a Nonlinear Evolutionary System with Applications in Viscoplasticity
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