11 citations · 11 across the 11 of their papers we have counts for
12 papers
Finite Element Approximation of a Hemivariational Inequality for Steady-State Heat Conduction: Double-Limit Convergence of Penalization and Discretization
Piotr Bartman-Szwarc, Anna Ochal, Domingo A. Tarzia
In this paper we study the numerical approximation and convergence analysis of a steady-state heat conduction problem with mixed boundary conditions. The physical model is governed…
Hybrid subgradient and simulated annealing method for hemivariational inequalities
Piotr Bartman-Szwarc, Adil M. Bagirov, Anna Ochal
In this paper, we employ a global aggregate subgradient method for the numerical solution of hemivariational inequality problems arising in contact mechanics. The method integrates…
A new penalty method for elliptic quasivariational inequalities
Piotr Bartman-Szwarc, Anna Ochal, Mircea Sofonea +1
We consider a class of elliptic quasivariational inequalities in a reflexive Banach space for which we recall a convergence criterion obtained in [10]. Each inequality …
A Convergence Criterion for Elliptic Variational Inequalities
Claudia Gariboldi, Anna Ochal, Mircea Sofonea +1
We consider an elliptic variational inequality with unilateral constraints in a Hilbert space which, under appropriate assumptions on the data, has a unique solution . We fo…
Modelling, Analysis and Numerical Simulation of a Spring-Rods System with Unilateral Constraints
Anna Ochal, Wiktor Prządka, Mircea Sofonea +1
In this paper we consider a mathematical model which describes the equilibrium of two elastic rods attached to a nonlinear spring. We derive the variational formulation of the mode…
Duality Arguments in the Analysis of a Viscoelastic Contact Problem
Piotr Bartman, Anna Ochal, Mircea Sofonea
We consider a mathematical model which describes the quasistatic frictionless contact of a viscoelastic body with a rigid-plastic foundation. We describe the mechanical assumptions…
Existence, comparison, and convergence results for a class of elliptic hemivariational inequalities
Claudia M. Gariboldi, Stanisław Migórski, Anna Ochal +1
In this paper we study a class of elliptic boundary hemivariational inequalities which originates in the steady-state heat conduction problem with nonmonotone multivalued subdiffer…
A survey of numerical methods for hemivariational inequalities with applications to Contact Mechanics
Anna Ochal, Michal Jureczka, Piotr Bartman
In this paper we present an abstract nonsmooth optimization problem for which we recall existence and uniqueness results. We show a numerical scheme to approximate its solution. Th…
Solving Quasistatic Contact Problems Using Nonsmooth Optimization Approach
Michal Jureczka, Anna Ochal, Weimin Han
This paper is devoted to a study of time-dependent hemivariational inequality. We prove existence and uniqueness of its solution, provide fully discrete scheme and reformulate this…
Numerical Studies of a Hemivariational Inequality for a Viscoelastic Contact Problem with Damage
Weimin Han, Michal Jureczka, Anna Ochal
This paper is devoted to the study of a hemivariational inequality modeling the quasistatic bilateral frictional contact between a viscoelastic body and a rigid foundation. The dam…
Numerical Analysis of a Contact Problem with Wear
Danfu Han, Weimin Han, Michal Jureczka +1
This paper represents a sequel to the previous one, where numerical solution of a quasistatic contact problem is considered for an elastic body in frictional contact with a moving…
A nonsmooth optimization approach for hemivariational inequalities with applications in Contact Mechanics
Michal Jureczka, Anna Ochal
In this paper we introduce an abstract nonsmooth optimization problem and prove existence and uniqueness of its solution. We present a numerical scheme to approximate this solution…