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| Title
| - Convergence analysis of a local stationarity scheme for rate-independent systems
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| Abstract
| - This paper is concerned with an approximation scheme for rate-independent systems governed by a non-smooth dissipation and a possibly non-convex energy functional. The scheme is based on the local minimization scheme introduced in Efendiev and Mielke [ J. Convex Anal. 13 (2006) 151-167], but relies on local stationarity of the underlying minimization problem. Under the assumption of Mosco-convergence for the dissipation functional, we show that accumulation points exist and are so-called parametrized BV-solutions of the rate-independent system. In particular, this guarantees the existence of parametrized BV-solutions for a rather general setting. Afterwards, we apply the scheme to a model for the evolution of damage.
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| - © The authors. Published by EDP Sciences, SMAI 2022
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| - The authors. Published by EDP Sciences, SMAI 2022
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