Optimal control of an abstract evolution variational inequality with application in homogenized plasticity
Meinlschmidt H, Meyer C, Walter S (2020)
Publication Type: Journal article, Original article
Publication year: 2020
Journal
Book Volume: 1
Journal Issue: 1
URI: https://jnsao.episciences.org/6467
Open Access Link: https://jnsao.episciences.org/6467
Abstract
The paper is concerned with an optimal control problem governed by a state equation in form of a generalized abstract operator differential equation involving a maximal monotone operator. The state equation is uniquely solvable, but the associated solution operator is in general not Gâteaux-differentiable. In order to derive optimality conditions, we therefore regularize the state equation and its solution operator, respectively, by means of a (smoothed) Yosida approximation. We show convergence of global minimizers for regularization parameter tending to zero and derive necessary and sufficient optimality conditions for the regularized problems. The paper ends with an application of the abstract theory to optimal control of homogenized quasi-static elastoplasticity.
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Germany (DE)How to cite
APA:
Meinlschmidt, H., Meyer, C., & Walter, S. (2020). Optimal control of an abstract evolution variational inequality with application in homogenized plasticity. Journal of Nonsmooth Analysis and Optimization, 1(1). https://dx.doi.org/10.46298/jnsao-2020-5800
MLA:
Meinlschmidt, Hannes, Christian Meyer, and Stephan Walter. "Optimal control of an abstract evolution variational inequality with application in homogenized plasticity." Journal of Nonsmooth Analysis and Optimization 1.1 (2020).
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