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 …

An efficient and robust GPGPU-parallelized contact algorithm for the combined finite-discrete element method

H Liu, H Ma, Q Liu, X Tang, J Fish - Computer Methods in Applied …, 2022 - Elsevier
In this study, an efficient and robust GPGPU (general purpose graphic processing unit)-
parallelized algorithm is proposed for contact force calculation for the three-dimensional …

Mixed and Nitsche's discretizations of Coulomb frictional contact-mechanics for mixed dimensional poromechanical models

L Beaude, F Chouly, M Laaziri, R Masson - Computer Methods in Applied …, 2023 - Elsevier
This work deals with the discretization of single-phase Darcy flows in fractured and
deformable porous media, including frictional contact at the matrix–fracture interfaces …

Skew-symmetric Nitsche's formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact

Q Hu, F Chouly, P Hu, G Cheng, SPA Bordas - Computer Methods in …, 2018 - Elsevier
A simple skew-symmetric Nitsche's formulation is introduced into the framework of
isogeometric analysis (IGA) to deal with various problems in small strain elasticity: essential …

A Nitsche-based formulation for fluid-structure interactions with contact

E Burman, MA Fernández, S Frei - ESAIM: Mathematical Modelling …, 2020 - esaim-m2an.org
We derive a Nitsche-based formulation for fluid-structure interaction (FSI) problems with
contact. The approach is based on the work of Chouly and Hild (SIAM J. Numer. Anal. 51 …

ILS-MPM: An implicit level-set-based material point method for frictional particulate contact mechanics of deformable particles

C Liu, WC Sun - Computer methods in applied mechanics and …, 2020 - Elsevier
Finite element simulations of frictional multi-body contact problems via conformal meshes
can be challenging and computationally demanding. To render geometrical features …

Nitsche's method for finite deformation thermomechanical contact problems

A Seitz, WA Wall, A Popp - Computational Mechanics, 2019 - Springer
This paper presents an extension of Nitsche's method to finite deformation
thermomechanical contact problems including friction. The mechanical contact constraints …

Time domain boundary elements for elastodynamic contact

A Aimi, G Di Credico, H Gimperlein - Computer Methods in Applied …, 2023 - Elsevier
This article proposes a boundary element method for the dynamic contact between a linearly
elastic body and a rigid obstacle. The Signorini contact problem is formulated as a …

Nitsche method for contact with Coulomb friction: existence results for the static and dynamic finite element formulations

F Chouly, P Hild, V Lleras, Y Renard - Journal of Computational and …, 2022 - Elsevier
We study the Nitsche-based finite element method for contact with Coulomb friction
considering both static and dynamic situations. We provide existence and/or uniqueness …

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 …