Sensitivity analysis and optimal control for a friction problem in the linear elastic model

DOI10.1007/s00245-024-10156-zzbMath1546.49016MaRDI QIDQ6598005

Loïc Bourdin, Fabien Caubet, Aymeric Jacob de Cordemoy

Publication date: 4 September 2024

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

optimal controlvariational inequalitiessensitivity analysisTresca's friction lawproximal operatortwice epi-differentiabilitySignorini's unilateral conditionsmechanical friction problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Sensitivity analysis for optimization problems on manifolds (49Q12) PDEs in connection with control and optimization (35Q93)

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