A penalized version of the local minimization scheme for rate-independent systems

DOI10.1016/j.aml.2020.106954zbMath1467.74039OpenAlexW3112072833MaRDI QIDQ1996356

Yanyan Li

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106954

zbMATH Keywords

convergenceMoreau-Yosida approximationrate-independent systemlocal minimization schemeparametrized BV solution

Mathematics Subject Classification ID

Existence theories for optimal control problems involving relations other than differential equations (49J21) Energy minimization in dynamical problems in solid mechanics (74H80)

Cites Work

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• Finite element discretization of local minimization schemes for rate-independent evolutions
• Rate-independent systems. Theory and application
• Quasi-static rate-independent evolutions: characterization, existence, approximation and application to fracture mechanics
• Variational Analysis in Sobolev and BV Spaces
• BV solutions and viscosity approximations of rate-independent systems
• Convergence analysis of time-discretisation schemes for rate-independent systems
• A Priori Error Analysis of Local Incremental Minimization Schemes for Rate-Independent Evolutions

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