Reverse approximation of energetic solutions to rate-independent processes

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Date
2007
Volume
1271
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

Energetic solutions to rate-independent processes are usually constructed via time-incremental minimization problems. In this work we show that all energetic solutions can be approximated by incremental problems if we allow approximate minimizers, where the error in minimization has to be of the order of the time step. Moreover, we study sequences of problems where the energy functionals have a Gamma limit.

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Citation
Mielke, A., & Rindler, F. (2007). Reverse approximation of energetic solutions to rate-independent processes (Vol. 1271). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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