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Wyświetlanie 1-15 z 21
Tytuł:
Topology optimization of systems governed by variational inequalities
Autorzy:
Myśliński, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/729259.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
variational inequality
topology optimization
Opis:
This paper deals with the formulation of the necessary optimality condition for a topology optimization problem of an elastic body in unilateral contact with a rigid foundation. In the contact problem of Tresca, a given friction is governed by an elliptic variational inequality of the second order. The optimization problem consists in finding such topology of the domain occupied by the body that the normal contact stress along the contact boundary of the body is minimized. The topological derivative of the cost functional is calculated and a necessary optimality condition is formulated. The calculated topological derivative is also used in the numerical algorithm to find a descent direction by inserting voids in the domain occupied by the body. Numerical examples are provided.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 2; 237-252
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Local subdifferentials and multivariational inequalities in Banach and Frechet spaces
Autorzy:
Kasyanov, P. O.
Mel'nik V., S.
Piccirillo, A. M.
Powiązania:
https://bibliotekanauki.pl/articles/255055.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
local subdifferential
multi-variational inequality
Frechet space
Opis:
Some functional-topological concepts of subdifferential and locally subdifferential maps in Frechet spaces are established. Multivariational inequalities with an operator of the pseudomonotone type, connected with subdifferential maps, are considered.
Źródło:
Opuscula Mathematica; 2008, 28, 3; 295-311
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Solution of a Finite Element Approximation of a Linear Obstacle Plate Problem
Autorzy:
Fernandes, L. M.
Figueiredo, I. N.
Judice, J. J.
Powiązania:
https://bibliotekanauki.pl/articles/907894.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
variational inequality
complementarity problem
contact problem
Opis:
In this paper the solution of a finite element approximation of a linear obstacle plate problem is investigated. A simple version of an interior point method and a block pivoting algorithm have been proposed for the solution of this problem. Special purpose implementations of these procedures are included and have been used in the solution of a set of test problems. The results of these experiences indicate that these procedures are quite efficient to deal with these instances and compare favourably with the path-following PATH and the active-set MINOS codes of the commercial GAMS collection
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 27-40
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical considerations of a hybrid proximal projection algorithm for solving variational inequalities
Autorzy:
Jager, Christina
Powiązania:
https://bibliotekanauki.pl/articles/729431.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
variational inequality
proximal point algorithm
bundle method
Opis:
In this paper, some ideas for the numerical realization of the hybrid proximal projection algorithm from Solodov and Svaiter [22] are presented. An example is given which shows that this hybrid algorithm does not generate a Fejér-monotone sequence. Further, a strategy is suggested for the computation of inexact solutions of the auxiliary problems with a certain tolerance. For that purpose, ε-subdifferentials of the auxiliary functions and the bundle trust region method from Schramm and Zowe [20] are used. Finally, some numerical results for non-smooth convex optimization problems are given which compare the hybrid algorithm to the inexact proximal point method from Rockafellar [17].
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 1; 51-69
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of a frictionless contact problem for elastic bodies
Autorzy:
Drabla, S.
Sofonea, M.
Teniou, B.
Powiązania:
https://bibliotekanauki.pl/articles/1294377.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
frictionless contact
elastic body
variational inequality
monotone operator
penalized problem
Opis:
This paper deals with a nonlinear problem modelling the contact between an elastic body and a rigid foundation. The elastic constitutive law is assumed to be nonlinear and the contact is modelled by the well-known Signorini conditions. Two weak formulations of the model are presented and existence and uniqueness results are established using classical arguments of elliptic variational inequalities. Some equivalence results are presented and a strong convergence result involving a penalized problem is also proved.
Źródło:
Annales Polonici Mathematici; 1998, 69, 1; 75-88
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On discontinuous quasi-variational inequalities
Autorzy:
Chu, Liang-Ju
Lin, Ching-Yang
Powiązania:
https://bibliotekanauki.pl/articles/729419.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
variational inequality
quasi-variatioal inequality
Ricceri's conjecture
Karamardian condition
Hausdorff continuous multifunction
Kneser's minimax inequality
Opis:
In this paper, we derive a general theorem concerning the quasi-variational inequality problem: find x̅ ∈ C and y̅ ∈ T(x̅) such that x̅ ∈ S(x̅) and
⟨y̅,z-x̅⟩ ≥ 0, ∀ z ∈ S(x̅),
where C,D are two closed convex subsets of a normed linear space X with dual X*, and $T:X → 2^{X*}$ and $S:C → 2^D$ are multifunctions. In fact, we extend the above to an existence result proposed by Ricceri [12] for the case where the multifunction T is required only to satisfy some general assumption without any continuity. Under a kind of Karmardian's condition, we give a partial affirmative answer to an unbounded quasi-variational inequality problem.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 2; 199-212
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some results for the reflection problems in Hilbert spaces
Autorzy:
Barbu, V.
Da Prato, G.
Powiązania:
https://bibliotekanauki.pl/articles/970292.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
stochastic variational inequality
Wiener processes in Hilbert spaces
convex sets
strong solutions
Opis:
This work is concerned with existence and uniqueness of a solution of a stochastic variational inequality on closed convex bounded subsets with nonempty interior and smooth boundary of a Hilbert space H (the reflection problem).
Źródło:
Control and Cybernetics; 2008, 37, 4; 797-810
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robinsons implicit function theorem
Autorzy:
Dontchev, A. L.
Powiązania:
https://bibliotekanauki.pl/articles/970518.pdf
Data publikacji:
2003
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
funkcja uwikłana
czułość
nierówność wariacyjna
optymalizacja
implicit function
sensitivity
variational inequality
optimization
Opis:
Robinson's implicit function theorem has played a mayor role in the analysis of stability of optimization problems in the last two decades. In this paper we take a new look at this theorem, and with an updated terminology go back to the roots and present some extensions.
Źródło:
Control and Cybernetics; 2003, 32, 3; 529-541
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new iterative method for generalized equilibrium and constrained convex minimization problems
Autorzy:
Yazdi, M.
Powiązania:
https://bibliotekanauki.pl/articles/2078968.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Generalized equilibrium problem
constrained convex minimization
averaged mapping
iterative method
variational inequality
Opis:
The gradient-projection algorithm (GPA) plays an important role in solving constrained convex minimization problems. In this paper, we combine the GPA and averaged mapping approach to propose an explicit composite iterative scheme for finding a common solution of a generalized equilibrium problem and a constrained convex minimization problem. Then, we prove a strong convergence theorem which improves and extends some recent results.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2020, 74, 2; 81-99
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis and numerical approximation of an elastic frictional contact problem with normal compliance
Autorzy:
Han, Weimin
Sofonea, Mircea
Powiązania:
https://bibliotekanauki.pl/articles/1338688.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
normal compliance
finite element approximation
Coulomb's law
error estimates
frictional contact
variational inequality
fixed point
Opis:
We consider the problem of frictional contact between an elastic body and an obstacle. The elastic constitutive law is assumed to be nonlinear. The contact is modeled with normal compliance and the associated version of Coulomb's law of dry friction. We present two alternative yet equivalent weak formulations of the problem, and establish existence and uniqueness results for both formulations using arguments of elliptic variational inequalities and fixed point theory. Moreover, we show the continuous dependence of the solution on the contact conditions. We also study the finite element approximations of the problem and derive error estimates. Finally, we introduce an iterative method to solve the resulting finite element system.
Źródło:
Applicationes Mathematicae; 1999, 26, 4; 415-435
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic Contact Problems With Velocity Conditions
Autorzy:
Chau, O.
Motreanu, V. V.
Powiązania:
https://bibliotekanauki.pl/articles/907895.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
lepkosprężystość
viscoelastic
elastic
subdifferential boundary condition
dynamic process
nonlinear hyperbolic variational inequality
maximal monotone operator
weak solution
Opis:
We consider dynamic problems which describe frictional contact between a body and a foundation. The constitutive law is viscoelastic or elastic and the frictional contact is modelled by a general subdifferential condition on the velocity, including the normal damped responses. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of second-order evolution variational inequalities. We show that the solutions of the viscoelastic problems converge to the solution of the corresponding elastic problem as the viscosity tensor tends to zero and when the frictional potential function converges to the corresponding function in the elastic problem
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 17-26
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces
Autorzy:
Khan, Muhammad Aqeel Ahmad
Powiązania:
https://bibliotekanauki.pl/articles/744677.pdf
Data publikacji:
2016-12-01
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
fixed point
strict pseudo-contraction
equilibrium problem
variational inequality problem
inverse strongly monotone mapping
shrinking projection method
Opis:
In this paper, we propose and analyse an iterative algorithm for the approximation of a common solution for a finite family of k-strict pseudocontractions and two finite families of generalized equilibrium problems in the setting of Hilbert spaces. Strong convergence results of the proposed iterative algorithm together with some applications to solve the variational inequality problems are established in such setting. Our results generalize and improve various existing results in the current literature.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2016, 15
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Variational inequalities in noncompact nonconvex regions
Autorzy:
Lin, Ching-Yan
Chu, Liang-Ju
Powiązania:
https://bibliotekanauki.pl/articles/729495.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Nikaidô's coincidence theorem
variational inequality
nearly convex
V₀-Karamardian condition
Saigal condition
acyclic multifunction
algebraic interior
bounding points
Opis:
In this paper, a general existence theorem on the generalized variational inequality problem GVI(T,C,ϕ) is derived by using our new versions of Nikaidô's coincidence theorem, for the case where the region C is noncompact and nonconvex, but merely is a nearly convex set. Equipped with a kind of V₀-Karamardian condition, this general existence theorem contains some existing ones as special cases. Based on a Saigal condition, we also modify the main theorem to obtain another existence theorem on GVI(T,C,ϕ), which generalizes a result of Fang and Peterson.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2003, 23, 1; 5-19
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Topological derivatives for semilinear elliptic equations
Autorzy:
Iguernane, M.
Nazarov, S. A.
Roche, J. R.
Sokolowski, J.
Szulc, K.
Powiązania:
https://bibliotekanauki.pl/articles/907655.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
optymalizacja kształtu
pochodna topologiczna
nierówność wariacyjna
analiza asymptotyczna
shape optimization
topological derivative
level set method
variational inequality
asymptotic analysis
Opis:
The form of topological derivatives for an integral shape functional is derived for a class of semilinear elliptic equations. The convergence of finite element approximation for the topological derivatives is shown and the error estimates in the L [...] norm are obtained. The results of numerical experiments which confirm the theoretical convergence rate are presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 191-205
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A level set method in shape and topology optimization for variational inequalities
Autorzy:
Fulmański, P.
Laurain, A.
Scheid, J. F.
Sokołowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/929713.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
optymalizacja kształtu
pochodna topologiczna
nierówność wariacyjna
analiza asymptotyczna
shape optimization
topological derivative
level set method
variational inequality
asymptotic analysis
Opis:
The level set method is used for shape optimization of the energy functional for the Signorini problem. The boundary variations technique is used in order to derive the shape gradients of the energy functional. The conical differentiability of solutions with respect to the boundary variations is exploited. The topology modifications during the optimization process are identified by means of an asymptotic analysis. The topological derivatives of the energy shape functional are employed for the topology variations in the form of small holes. The derivation of topological derivatives is performed within the framework proposed in (Sokołowski and Żochowski, 2003). Numerical results confirm that the method is efficient and gives better results compared with the classical shape optimization techniques.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 3; 413-430
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 21

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