A discrete variational principle for rate-independent evolution
نویسندگان
چکیده
We develop a global-in-time variational approach to the time-discretization of rate-independent processes. In particular, we investigate a discrete version of the variational principle based on the weighted energy-dissipation functional introduced in [MO08]. We prove the conditional convergence of time-discrete approximate minimizers to energetic solutions of the time-continuous problem. Moreover, the convergence result is combined with approximation and relaxation. For a fixed partition the functional is shown to have an asymptotic development by Γ-convergence (cf. [AB93]) in the limit of vanishing viscosity.
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