37 citations · 71 across the 10 of their papers we have counts for
10 papers
Convergence of double step scheme for a class of parabolic Clarke subdifferential inclusions
Krzysztof Bartosz, Paweł Szafraniec, Jing Zhao
In this paper we deal with a first order evolution inclusion involving a multivalued term generated by a Clarke subdifferential of a locally Lipschitz potential. For this problem w…
Discontinuous Virtual Element Method for an elliptic variational inequality of the second kind
Krzysztof Bartosz, Pawel Szafraniec
In this work, we analyse a simplified frictional contact problem and its variational formulation that has a form of the elliptic variational inequality of the second kind. For this…
Convergence of a double step scheme for a class of second order Clarke subdifferential inclusions
Krzysztof Bartosz, Paweł Szafraniec
In this paper we deal with a second order evolution inclusion involving a multivalued term generated by a Clarke subdifferential of a locally Lipschitz potential. For this problem…
A class of dynamic frictional contact problems governed by a system of hemivariational inequalities in thermoviscoelasticity
Stanisław Migórski, Paweł Szafraniec
In this paper we prove the existence and uniqueness of the weak solution for a dynamic thermoviscoelastic problem which describes frictional contact between a body and a foundation…
Evolution Boussinesq model with nonmonotone friction and heat flux boundary conditions
Paweł Szafraniec
In this paper we prove the existence and regularity of a solution to a two-dimensional system of evolutionary hemivariational inequalities which describes the Boussinesq model with…
Convergence of a Time Discretization for Nonlinear Second Order Inclusion
Krzysztof Bartosz, Leszek Gasiński, Zhenhai Liu +1
We study an abstract second order inclusion involving two nonlinear single-valued operators and a nonlinear multivalued term. Our goal is to establish the existence of solutions to…
Dynamic thermoviscoelastic thermistor problem with contact and nonmonotone friction
Krzysztof Bartosz, Tomasz Janiczko, Paweł Szafraniec +1
The paper studies the evolution of the thermomechanical and electric state of a thermoviscoelastic thermistor that is in frictional contact with a reactive foundation. The mechanic…
Nonmonotone slip problem for miscible liquids
Paweł Szafraniec, Stanisław Migórski
In this paper we prove the existence and uniqueness of a solution to the nonstationary two dimensional system of equations describing miscible liquids with nonsmooth, multivalued a…
A frictional contact problem with wear diffusion
Piotr Kalita, Pawel Szafraniec, Meir Shillor
This paper constructs and analyzes a model for the dynamic frictional contact between a viscoelastic body and a moving foundation. The contact involves wear of the contacting surfa…
Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem
Piotr Bartman, Krzysztof Bartosz, Michał Jureczka +1
In this work, we analyze a non-clamped dynamic viscoelastic contact problem involving thermal effect. The friction law is described by a non-monotone relation between the tangentia…