An overview of recent results on Nitsche's method for contact problems

F Chouly, M Fabre, P Hild, R Mlika, J Pousin… - … Unfitted Finite Element …, 2017 - Springer
We summarize recent achievements in applying Nitsche's method to some contact and
friction problems. We recall the setting of Nitsche's method in the case of unilateral contact …

Residual a posteriori error estimation for frictional contact with Nitsche method

R Araya, F Chouly - Journal of Scientific Computing, 2023 - Springer
We consider frictional contact problems in small strain elasticity discretized with finite
elements and Nitsche method. Both bilateral and unilateral contact problems are taken into …

On convergence of the penalty method for unilateral contact problems

F Chouly, P Hild - Applied Numerical Mathematics, 2013 - Elsevier
We present a convergence analysis of the penalty method applied to unilateral contact
problems in two and three space dimensions. We first consider, under various regularity …

A novel method for gear crack fault diagnosis using improved analytical-FE and strain measurement

J Wu, Y Yang, P Wang, J Wang, J Cheng - Measurement, 2020 - Elsevier
In this paper, a novel analytical-FE method which overcomes the drawbacks of the analytical
method (AM) and finite element method (FEM) is proposed to evaluate time-varying meshing …

Penalty and regularization method for variational‐hemivariational inequalities with application to frictional contact

S Migórski, S Zeng - ZAMM‐Journal of Applied Mathematics …, 2018 - Wiley Online Library
In this paper, we provide results on existence, uniqueness and convergence for a class of
variational‐hemivariational inequalities of elliptic type involving a constraint set and a …

The adapted augmented Lagrangian method: a new method for the resolution of the mechanical frictional contact problem

P Bussetta, D Marceau, JP Ponthot - Computational Mechanics, 2012 - Springer
The aim of this work is to propose a new numerical method for solving the mechanical
frictional contact problem in the general case of multi-bodies in a three dimensional space …

[HTML][HTML] A self-adaptive projection method for contact problems with the BEM

S Zhang, X Li - Applied Mathematical Modelling, 2018 - Elsevier
A self-adaptive algorithm, based on the projection and boundary integral methods, is
designed and analyzed for frictionless contact problems in linear elasticity. Using the …

Time-stepping method for frictional contact of anisotropic viscoelastic solids

C Hwu - International Journal of Mechanical Sciences, 2020 - Elsevier
By the time-stepping method proposed in this paper, the basic equations for linear
anisotropic viscoelasticity with small strains and quasi-static condition can be separated into …

Boundary element methods for Dirichlet boundary control problems

G Of, TX Phan, O Steinbach - Mathematical Methods in the …, 2010 - Wiley Online Library
In this article we discuss the application of boundary element methods for the solution of
Dirichlet boundary control problems subject to the Poisson equation with box constraints on …

Convergence analysis of penalty based numerical methods for constrained inequality problems

W Han, M Sofonea - Numerische Mathematik, 2019 - Springer
This paper presents a general convergence theory of penalty based numerical methods for
elliptic constrained inequality problems, including variational inequalities, hemivariational …