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Residual a Posteriori Error Estimation for Frictional Contact with Nitsche Method
We consider frictional contact problems in small strain elasticity discretized with finite elements and Nitsche method. Both bilateral and unilateral...
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On Nonconvex Perturbed Fractional Swee** Processes
This paper is devoted to the existence and uniqueness of solution for a large class of perturbed swee** processes formulated by fractional...
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Topological Approaches for Vector Variational Inequality Problems
In this chapter, we discuss several variants of variational inequality problems that exist in the literature. We also discuss solutions to the vector...
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Regularized frictional contact problems with the interior point method
The aim of this paper is to present an algorithm to solve frictional contact problems by considering the Coulomb’s criterion. As it is known, the...
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A Relaxed Inertial Factor of the Modified Subgradient Extragradient Method for Solving Pseudo Monotone Variational Inequalities in Hilbert Spaces
In this paper, we investigate pseudomonotone and Lipschitz continuous variational inequalities in real Hilbert spaces. For solving this problem, we...
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Homogenization of A Boundary-Value Problem in A Domain Perforated by Cavities of Arbitrary Shape with A General Nonlinear Boundary Condition On Their Boundaries: The Case of Critical Values of the Parameters
A homogenized model is constructed (with rigorous justification) for a boundary-value problem for the Poisson equation in a periodically perforated...
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Estimates of the Distance to Exact Solutions of the Stokes Problem with Slip and Leak Boundary Conditions
We deduce a posteriori error estimates of functional type for the stationary Stokes problem with slip and leak boundary conditions. The derived error...
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Alessandro Terracini (1889–1968): Teaching and Research from the University Years to the Racial Laws
Alessandro Terracini’s life is divided into three main phases; each of them has different characteristics and is framed in different historical and...
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Analysis of a Contact Problem Problem Involving an Elastic Body with Dual-Phase-Lag
In this work we study a contact problem between a thermoelastic body with dual-phase-lag and a deformable obstacle. The contact is modelled using a...
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An inertial method for solving split equality quasimonotone Minty variational inequality problems in reflexive Banach spaces
In this paper, we introduce the split equality Minty variational inequality problem in reflexive real Banach spaces. Then we construct a single...
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A Contact Problem for a Plate and a Beam in Presence of Adhesion
Under consideration is the problem of contact between a plate and a beam. It is assumed that no mutual penetration between the plate and the beam can...
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Generalized Set-valued Nonlinear Variational-like Inequalities and Fixed Point Problems: Existence and Approximation Solvability Results
The paper is devoted to the introduction of a new class of generalized set-valued nonlinear variational-like inequality problems in the setting of...
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Delamination of a Three-Layer Base Under the Action of Normal Loading
We study the nonlinear behavior of a multilayer system subjected to the action of normally distributed surface loads. For this purpose, we use the...
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Analysis of a debonding model of two elastic 2D-bars
This work establishes the existence of a weak solution to a new model for the process of debonding of two elastic 2D-bars caused by humidity and...
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Algorithms for Optimal Control of Elastic Contact Problems with Finite Strain
Optimal control of hyperelastic contact problems in the regime of finite strains combines various severe theoretical and algorithmic difficulties....
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Nonlocal Double Phase Complementarity Systems with Convection Term and mixed Boundary Conditions
In the present paper, we are concerned with the study of a nonlinear complementarity problem (NCP, for short) with a nonlinear and nonhomogeneous...
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Asymptotic Analysis of Linearly Elastic Flexural Shells Subjected to an Obstacle in Absence of Friction
In this paper we identify a set of two-dimensional variational inequalities governing the displacement of a linearly elastic flexural shell subjected...
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A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality
We study a priori error estimates of discontinuous Galerkin (DG) methods for solving a quasi-variational inequality, which models a frictional...
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Common solution to generalized mixed equilibrium problem and fixed point problems in Hilbert space
In this paper, we deal with an extra-gradient iterative method for finding a common solution to a generalized mixed equilibrium problem and fixed...
