Temat: nonconvex - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Boundary hemivariational inequalities of hyperbolic type and applications
Autorzy:: Migórski, Stanisław
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

Artykuł

Skocz do pozycji: 2.

Artykuł

Skocz do pozycji: 3.

Inne

Skocz do pozycji: 4.

Tytuł:: Optimization problems with convex epigraphs. Application to optimal control
Autorzy:: Kryazhimskii, A. V.
Tematy:: równanie nieliniowe
optymalizacja
nonconvex optimization
global optimization methods; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/908078.pdf Link otwiera się w nowym oknie
Opis:: For a class of infinite-dimensional minimization problems with nonlinear equality constraints, an iterative algorithm for finding global solutions is suggested. A key assumption is the convexity of the "epigraph", a set in the product of the image spaces of the constraint and objective functions. A convexification method involving randomization is used. The algorithm is based on the extremal shift control principle due to N.N. Krasovskii. An application to a problem of optimal control for a bilinear control system is described.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Inne

Skocz do pozycji: 6.

Artykuł

Skocz do pozycji: 7.

Tytuł:: Hemivariational inequality approach to the dynamic viscoelastic sliding contact problem with wear
Autorzy:: Bartosz, Krzysztof
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

Artykuł

Skocz do pozycji: 8.

Tytuł:: Hemivariational inequality for viscoelastic contact problem with slip-dependent friction
Autorzy:: Migórski, Stanisław
Ochal, Anna
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

Artykuł

Skocz do pozycji: 9.

Tytuł:: Subdifferential inclusions and quasi-static hemivariational inequalities for frictional viscoelastic contact problems
Autorzy:: Migórski, Stanisław
Opis:: We survey recent results on the mathematical modeling of nonconvex and nonsmooth contact problems arising in mechanics and engineering. The approach to such problems is based on the notions of an operator subdifferential inclusion and a hemivariational inequality, and focuses on three aspects. First we report on results on the existence and uniqueness of solutions to subdifferential inclusions. Then we discuss two classes of quasi-static hemivariational ineqaulities, and finally, we present ideas leading to inequality problems with multivalued and nonmonotone boundary conditions encountered in mechanics.
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

Artykuł

Skocz do pozycji: 10.

Tytuł:: Nonconvex minimization related to quadratic double-well energy - approximation by convex problemsenergy – approximation by convex problems
Autorzy:: Naniewicz, Z.
Puchała, P.
Tematy:: nonconvex integrand
minimum of convex functions
duality
parameterized Young measures; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Powiązania:: https://bibliotekanauki.pl/articles/205686.pdf Link otwiera się w nowym oknie
Opis:: A double-well energy expressed as a minimum of two quadratic functions, called phase energies, is studied taking into account minimization of the corresponding integral functional. Such integral, as being not sequentially weakly lower semicontinuous, does not admit classical minimizers. To derive the relaxation formula for the infimum, the appropriate minimizing sequence is constructed. It consists of solutions of some approximating convex problems involving characteristic functions related to the phase energies. The weak limit of this sequence and the weak limit of the sequence of solutions of dual problems combined with the weak-star limits of the characteristic functions related to the phase energies allow to establish the final relaxation formula. It is also shown that infimum can be expressed by the Young measure associated with constructed minimizing sequence. An explicit form of Young measure in some regions of the involved domain is calculated.
Dostawca treści:: Biblioteka Nauki

Artykuł

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