An overview of recent results on Nitsche's method for contact problems
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 …
friction problems. We recall the setting of Nitsche's method in the case of unilateral contact …
A Nitsche-based method for unilateral contact problems: numerical analysis
We introduce a Nitsche-based finite element discretization of the unilateral contact problem
in linear elasticity. It features a weak treatment of the nonlinear contact conditions through a …
in linear elasticity. It features a weak treatment of the nonlinear contact conditions through a …
Symmetric and non-symmetric variants of Nitsche's method for contact problems in elasticity: theory and numerical experiments
A general Nitsche method, which encompasses symmetric and non-symmetric variants, is
proposed for frictionless unilateral contact problems in elasticity. The optimal convergence of …
proposed for frictionless unilateral contact problems in elasticity. The optimal convergence of …
[HTML][HTML] An adaptation of Nitscheʼs method to the Tresca friction problem
F Chouly - Journal of Mathematical Analysis and Applications, 2014 - Elsevier
We propose a simple adaptation to the Tresca friction case of the Nitsche-based finite
element method introduced previously for frictionless unilateral contact. Both cases of …
element method introduced previously for frictionless unilateral contact. Both cases of …
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 …
the Well-posed Problems (MTWP) and the Mathematical Theory of Contact Mechanics …
A mechanically consistent unified formulation for fluid-porous-structure-contact interaction
FM Gerosa, AL Marsden - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Fluid–structure interaction with contact poses profound mathematical and numerical
challenges, particularly when considering realistic contact scenarios and the influence of …
challenges, particularly when considering realistic contact scenarios and the influence of …
Residual a posteriori error estimation for frictional contact with Nitsche method
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 …
elements and Nitsche method. Both bilateral and unilateral contact problems are taken into …
A hybrid high-order discretization combined with Nitsche's method for contact and Tresca friction in small strain elasticity
F Chouly, A Ern, N Pignet - SIAM Journal on Scientific Computing, 2020 - SIAM
We devise and analyze a hybrid high-order (HHO) method to discretize unilateral and
bilateral contact problems with Tresca friction in small strain elasticity. The nonlinear …
bilateral contact problems with Tresca friction in small strain elasticity. The nonlinear …
Hybrid high-order discretizations combined with Nitsche's method for Dirichlet and Signorini boundary conditions
KL Cascavita, F Chouly, A Ern - IMA Journal of Numerical …, 2020 - academic.oup.com
We present two primal methods to weakly discretize (linear) Dirichlet and (nonlinear)
Signorini boundary conditions in elliptic model problems. Both methods support polyhedral …
Signorini boundary conditions in elliptic model problems. Both methods support polyhedral …
A mechanically consistent model for fluid–structure interactions with contact including seepage
We present a new approach for the mechanically consistent modelling and simulation of
fluid–structure interactions (FSI) with contact. The fundamental idea consists of combining a …
fluid–structure interactions (FSI) with contact. The fundamental idea consists of combining a …