Numerical analysis of hemivariational inequalities in contact mechanics

W Han, M Sofonea - Acta Numerica, 2019 - cambridge.org
Contact phenomena arise in a variety of industrial process and engineering applications.
For this reason, contact mechanics has attracted substantial attention from research …

[LIBRO][B] Variational-hemivariational inequalities with applications

M Sofonea, S Migorski - 2017 - taylorfrancis.com
This research monograph represents an outcome of the cross-fertilization between
nonlinear functional analysis and mathematical modelling, and demonstrates its application …

Inverse problems for generalized quasi-variational inequalities with application to elliptic mixed boundary value systems

J Cen, AA Khan, D Motreanu, S Zeng - Inverse Problems, 2022 - iopscience.iop.org
This paper investigates the inverse problem of estimating a discontinuous parameter in a
quasi-variational inequality involving multi-valued terms. We prove that a well-defined …

Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems

S Migórski, AA Khan, S Zeng - Inverse Problems, 2020 - iopscience.iop.org
This paper is devoted to studying an inverse problem of parameter identification in a
nonlinear quasi-hemivariational inequality posed in a Banach space. We employ the Kluge's …

Well-posed nonlinear problems

M Sofonea - A study of mathematical models of contact. Advances in …, 2023 - Springer
The contents of this book are structured around two main topics: the Mathematical Theory of
the Well-posed Problems (MTWP) and the Mathematical Theory of Contact Mechanics …

Convergence of a generalized penalty method for variational–hemivariational inequalities

S Zeng, S Migórski, Z Liu, JC Yao - Communications in Nonlinear Science …, 2021 - Elsevier
The aim the paper is to study a large class of variational-hemivariational inequalities
involving constraints in a Banach space. First, we establish a general existence theorem for …

Mixed finite element method for a hemivariational inequality of stationary Navier–Stokes equations

W Han, K Czuprynski, F **g - Journal of Scientific Computing, 2021 - Springer
In this paper, we develop and study the mixed finite element method for a hemivariational
inequality of the stationary Navier–Stokes equations (NS hemivariational inequality). The NS …

Nonsmooth dynamical systems: From the existence of solutions to optimal and feedback control

S Zeng, NS Papageorgiou, VD Rǎdulescu - Bulletin des Sciences …, 2022 - Elsevier
In this paper, we investigate a nonlinear and nonsmooth dynamics system (NNDS, for short)
involving two multi-valued maps which are a convex subdifferential operator and a …

Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics

W Han - Mathematics and Mechanics of Solids, 2018 - journals.sagepub.com
This paper is devoted to numerical analysis of general finite element approximations to
stationary variational-hemivariational inequalities with or without constraints. The focus is on …

Numerical analysis of stationary variational-hemivariational inequalities

W Han, M Sofonea, D Danan - Numerische Mathematik, 2018 - Springer
Variational-hemivariational inequalities refer to the inequality problems where both convex
and nonconvex functions are involved. In this paper, we consider the numerical solution of a …