On convergence of a global search strategy for reverse convex problems.
Strekalovsky, Alexander (2005)
Journal of Applied Mathematics and Decision Sciences
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Displaying similar documents to “A regularization method for ill-posed bilevel optimization problems”
On convergence of a global search strategy for reverse convex problems.
On the robustness of optimal solutions for combinatorial optimization problems
Marek Libura (2009)
Control and Cybernetics
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Descent methods for convex optimization problems in Banach spaces.
Ali, M.S.S. (2005)
International Journal of Mathematics and Mathematical Sciences
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A penalty method for topology optimization subject to a pointwise state constraint
Samuel Amstutz (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper deals with topology optimization of domains subject to a pointwise constraint on the gradient of the state. To realize this constraint, a class of penalty functionals is introduced and the expression of the corresponding topological derivative is obtained for the Laplace equation in two space dimensions. An algorithm based on these concepts is proposed. It is illustrated by some numerical applications.
Characterizations of error bounds for lower semicontinuous functions on metric spaces
Dominique Azé, Jean-Noël Corvellec (2004)
ESAIM: Control, Optimisation and Calculus of Variations
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Refining the variational method introduced in Azé et al. [Nonlinear Anal. 49 (2002) 643-670], we give characterizations of the existence of so-called global and local error bounds, for lower semicontinuous functions defined on complete metric spaces. We thus provide a systematic and synthetic approach to the subject, emphasizing the special case of convex functions defined on arbitrary Banach spaces (refining the abstract part of Azé and Corvellec [SIAM J. Optim. 12 (2002) 913-927],...