999 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Czech Academy of SciencesCZ67 papers
- Charles UniversityCZ39 papers
- Czech Technical University in PragueCZ33 papers
- Johannes Kepler University of LinzAT7 papers
- University of South Bohemia in České BudějoviceCZ6 papers
- University of WarwickGB6 papers
- V. N. Karazin Kharkiv National UniversityUA6 papers
- Federation UniversityAU5 papers
- Prague University of Economics and BusinessCZ5 papers
- Technical University of LiberecCZ5 papers
- Czech Academy of Sciences, Institute of ThermomechanicsCZ4 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE4 papers
14 papers · 1 filter
Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization
Marouan Handa, Marek Tyburec, Giovanni Fantuzzi +2
The Arrow Decomposition (AD) technique, initially introduced in [Mathematical Programming 190(1-2) (2021), pp 105-134], demonstrated superior scalability over the classical chordal…
Occupation measure relaxations in variational problems: the role of convexity
Didier Henrion, Milan Korda, Martin Kružík +1
This work addresses the occupation measure relaxation of calculus of variations problems, which is an infinite-dimensional linear programming relaxation amenable to numerical appro…
Global weight optimization of frame structures with polynomial programming
Marek Tyburec, Michal Kočvara, Martin Kružík
Weight optimization of frame structures with continuous cross-section parametrization is a challenging non-convex problem that has traditionally been solved by local optimization t…
On bounded Wang tilings
Marek Tyburec, Jan Zeman
Wang tiles enable efficient pattern compression while avoiding the periodicity in tile distribution via programmable matching rules. However, most research in Wang tilings has cons…
On the optimal control of rate-independent soft crawlers
Giovanni Colombo, Paolo Gidoni
Existence of optimal solutions and necessary optimality conditions for a controlled version of Moreau's sweeping process are derived. The control is a measurable ingredient of the…
Decomposition of arrow type positive semidefinite matrices with application to topology optimization
Michal Kocvara
Decomposition of large matrix inequalities for matrices with chordal sparsity graph has been recently used by Kojima et al.\ \cite{kim2011exploiting} to reduce problem size of larg…
Stability analysis for parameterized variational systems with implicit constraints
Matúš Benko, Helmut Gfrerer, Jiří V. Outrata
In the paper we provide new conditions ensuring the isolated calmness property and the Aubin property of parameterized variational systems with constraints depending, apart from th…
The Radius of Metric Subregularity
Asen L. Dontchev, Helmut Gfrerer, Alexander Y. Kruger +1
There is a basic paradigm, called here the radius of well-posedness, which quantifies the "distance" from a given well-posed problem to the set of ill-posed problems of the same ki…
On the Aubin property of a class of parameterized variational systems
Helmut Gfrerer, Jiří V Outrata
The paper deals with a new sharp criterion ensuring the Aubin property of solution maps to a class of parameterized variational systems. This class includes parameter-dependent var…
On Lipschitzian properties of implicit multifunctions
Helmut Gfrerer, Jiří V. Outrata
The paper is devoted to the development of new sufficient conditions for the calmness and the Aubin property of implicit multifunctions. As the basic tool one employs the direction…
On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications
Helmut Gfrerer, Jiří V. Outrata
The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to inequality constraints under weak qualification conditions. The obtain…
A first-order multigrid method for bound-constrained convex optimization
Michal Kocvara, Sudaba Mohammed
The aim of this paper is to design an efficient multigrid method for constrained convex optimization problems arising from discretization of some underlying infinite dimensional pr…
Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains
L. Adam, J. V. Outrata, T. Roubicek
A class of evolution quasistatic systems which leads, after a suitable time discretization, to recursive nonlinear programs, is considered and optimal control or identification pro…
On Robustness Criteria and Robust Topology Optimization with Uncertain Loads
Michal Kocvara
We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, va…