Temat: variational inequality - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

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

Skocz do pozycji: 3.

Tytuł:: Discontinuous quasilinear elliptic problems at resonance
Autorzy:: Kourogenis, Nikolaos
Papageorgiou, Nikolaos
Powiązania:: https://bibliotekanauki.pl/articles/966108.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: compact embedding
Poincaré's inequality
Palais-Smale condition
critical point
variational method
Mountain Pass Theorem
subdifferential
problems at resonance
locally Lipschitz functional
Opis:: In this paper we study a quasilinear resonant problem with discontinuous right hand side. To develop an existence theory we pass to a multivalued version of the problem, by filling in the gaps at the discontinuity points. We prove the existence of a nontrivial solution using a variational approach based on the critical point theory of nonsmooth locally Lipschitz functionals.
Źródło:: Colloquium Mathematicum; 1998, 78, 2; 213-223
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

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