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Inverse problem for cracked inhomogeneous Kirchhoff–Love plate with two hinged rigid inclusions
We consider a family of variational problems on the equilibrium of a composite Kirchhoff–Love plate containing two flat rectilinear rigid inclusions,...
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Variational Analysis of a Dynamic Thermoviscoelastic Unilateral Contact Problem with Normal Damped Response and Friction
In this paper, we study a mathematical model that describes the dynamic frictional contact between the thermoviscoelastic body and the foundation....
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The selection of the optimal parameter in the modulus-based matrix splitting algorithm for linear complementarity problems
The modulus-based matrix splitting (MMS) algorithm is effective to solve linear complementarity problems (Bai in Numer Linear Algebra Appl 17:...
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Two-phase almost minimizers for a fractional free boundary problem
In this paper, we study almost minimizers to a fractional Alt–Caffarelli–Friedman type functional. Our main results concern the optimal
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Inertial extrapolation method with regularization for solving a new class of bilevel problem in real Hilbert spaces
The purpose of this paper is to introduce a new class of bilevel problem in the frame work of a real Hilbert space. In addition, we introduce an...
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Solution of 3D contact shape optimization problems with Coulomb friction based on TFETI
The present paper deals with the numerical solution of 3D shape optimization problems in frictional contact mechanics. Mathematical modelling of the...
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Existence and multiplicity results for Dirichlet problem with fractional Laplacian and nonlinearity
The existence and multiplicity results for Dirichlet BVPs with the fractional Laplacian are established depending on the range of parameter and...
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A power penalty approach to a mixed quasilinear elliptic complementarity problem
In this paper, a power penalty approximation method is proposed for solving a mixed quasilinear elliptic complementarity problem. The mixed...
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Introduction
For a wide range of systems in structural mechanics, it is crucial to take into account contact and friction between rigid or elastic bodies. Among...
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Variational analysis of unilateral contact problem for thermo-piezoelectric materials with friction
This paper deals with the mathematical analysis of quasi-static unilateral contact problem with friction between a thermo-piezoelectric body and a...
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A Survey of Results of St. Petersburg State University Research School on Nonlinear Partial Differential Equations. I
AbstractThe article contains a review of the most important results obtained in the framework of the St. Petersburg State University Research School...
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Mixed Methods
Mixed methods were among the first ones to be formulated for contact, along with penalty methods: see, e.g., the pioneering works of J. Haslinger in...
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Numerical approximation of an electro-elastic frictional contact problem modeled by hemivariational inequality
In this paper, an electro-elastic frictional contact problem is studied numerically as a hemivariational inequality. Convergence of the Galerkin...
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Contact Problems and Their Solution
We give an informal presentation of contact problems, including those that motivated our research, with a brief discussion of the challenges arising...
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Solvability of a Dynamic Rational Contact with Limited Interpenetration for Viscoelastic Plates
Solvability of the rational contact with limited interpenetration of different kind of viscolastic plates is proved. The biharmonic plates, von...
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A New Class of History–Dependent Evolutionary Variational–Hemivariational Inequalities with Unilateral Constraints
In this paper we study a new abstract evolutionary variational–hemivariational inequality which involves unilateral constraints and history–dependent...