On Existence of Optimal Solutions to Boundary Control Problem for an Elastic Body with Quasistatic Evolution of Damage

DOI10.1007/978-3-319-03146-0_19zbMath1327.74110OpenAlexW163969249MaRDI QIDQ2950131

Günter R. Leugering, Peter I. Kogut

Publication date: 8 October 2015

Published in: Continuous and Distributed Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-03146-0_19

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Classical linear elasticity (74B05) Wave scattering in solid mechanics (74J20)

Related Items (1)

Optimality Conditions for $$L^1$$ L 1 -Control in Coefficients of a Degenerate Nonlinear Elliptic Equation

Cites Work

• Optimal \(L^1\)-control in coefficients for Dirichlet elliptic problems: \(W\)-optimal solutions
• Optimal \(L^1\)-control in coefficients for Dirichlet elliptic problems: \(H\)-optimal solutions
• Compact sets in the space \(L^ p(0,T;B)\)
• Models and analysis of quasistatic contact. Variational methods
• Weak optimal controls in coefficients for linear elliptic problems
• Characterization of optimal shapes and masses through Monge-Kantorovich equation
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