Professeur à l'Université Paul Sabatier - Toulouse 3
Habilitation (synthèse) : Contribution à l'analyse numérique de problèmes de contact et de frottement (11/2001)
Thèse : Problèmes de contact unilatéral et maillages éléments finis incompatibles (01/1998).
(with F. Chouly and Y. Renard) Finite Element Approximation of Contact and Friction in Elasticity, 294 pages, Advances in Mechanics and Mathematics, 48, Springer / Birkhäuser, 2023.
(with F. Chouly and T. Gustafsson) A Nitsche method for the elastoplastic torsion problem, Mathematical Modelling and Numerical Analysis (M2AN), Vol. 57, No. 3, 1731-1746, 2023.
(with F. Chouly, V. Lleras and Y. Renard) Nitsche method for contact with Coulomb friction: Existence results for the static and dynamic finite element formulations, J. Comput. Appl. Math., Vol. 416, 114557, 2022.
(with F. Chouly) On a finite element approximation for the elastoplastic torsion problem, Appl. Math. Lett., Vol. 132, 108191, 2022.
(with P. Cantin) Error analysis of the compliance model for the Signorini problem, Calcolo, Vol. 58:32, 2021.
(with M. Abbas and G. Drouet) The local average contact (LAC) method, Comput. Methods Appl. Mech. Engrg., Vol. 339, 488-513, 2018.
(with F. Chouly, M. Fabre, J. Pousin and Y. Renard) Residual-based a posteriori error estimation for contact problems approximated by Nitsche's method, IMA J. Numer. Anal., Vol. 38, No. 2, 921-954, 2018.
(with G. Drouet) An accurate local average contact method for nonmatching meshes, Numerische Mathematik, Vol. 136, No. 2, 467-502, 2017.
(with F. Chouly, M. Fabre, R. Mlika, J. Pousin and Y. Renard) An overview of recent results on Nitsche's method for contact problems , Proceedings of the UCL Workshop 2016 on Geometrically Unfitted Finite Element Methods and Applications in Lect. Notes Comput. Sci. Eng, Vol. 121, 93-142, Springer, 2017.
(with G. Drouet) Optimal convergence for discrete variational inequalities modelling Signorini contact in 2D and 3D without additional assumptions on the unknown contact set, SIAM J. Numer. Anal., Vol. 53, No. 3, 1488-1507, 2015.
(with F. Chouly and Y. Renard) Symmetric and non-symmetric variants of Nitsche's method for contact problems in elasticity: theory and numerical experiments, Mathematics of Computation, Vol. 84, No. 293, 1089-1112, 2015.
(with F. Chouly and Y. Renard) A Nitsche finite element method for dynamic contact: 2. Stability of the schemes and numerical experiments, Mathematical Modelling and Numerical Analysis (M2AN), Vol. 49, No. 2, 503-528, 2015.
(with F. Chouly and Y. Renard) A Nitsche finite element method for dynamic contact: 1. Space semi-discretization and time-marching schemes, Mathematical Modelling and Numerical Analysis (M2AN), Vol. 49, No. 2, 481-502, 2015.
(with F. Chouly) A Nitsche-based method for unilateral contact problems: numerical analysis, SIAM J. Numer. Anal., Vol. 51, No. 2, 1295-1307, 2013.
(with F. Chouly) On convergence of the penalty method for unilateral contact problems, Appl. Numer. Math., Vol. 65, 27-40, 2013.
(with Y. Renard) An improved a priori error analysis for finite element approximations of Signorini's problem, SIAM J. Numer. Anal., Vol. 50, No. 5, 2400-2419, 2012.
(with S. Amdouni, V. Lleras, M. Moakher and Y. Renard) A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies, Mathematical Modelling and Numerical Analysis (M2AN), Vol. 46, No. 4, 813-839, 2012.
A sign preserving mixed finite element approximation for contact problems, Appl. Math. Comp. Sci., Vol. 21, No. 3, 487-498, 2011.
(with Y. Renard) A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics, Numerische Mathematik, Vol. 115, No. 1, 101-129, 2010.
(with J. R. Fernández) A posteriori error analysis for the normal compliance problem, Appl. Numer. Math., Vol. 60, No. 1-2, 64-73, 2010.
(with V. Lleras) Residual error estimators for Coulomb friction, SIAM J. Numer. Anal., Vol. 47, No. 5, 3550-3583, 2009.
Two results on solution uniqueness and multiplicity for the linear elastic friction problem with normal compliance, Nonlinear Anal., Vol. 71, No. 11, 5560-5571, 2009.
(with J. R. Fernández) A residual a posteriori error estimator for elasto viscoplasticity , Internat. J. Numer. Anal. Model. , Vol. 6, No. 4, 603-614, 2009.
(with V. Lleras and Y. Renard) A posteriori error analysis for Poisson's equation approximated by XFEM, Esaim. Proc., Vol. 27, 107-121, 2009.
(with J. R. Fernández) A priori and a posteriori error analyses in the study of viscoelastic problems , J. Comp. Appl. Math., Vol. 225, No. 2, 569-580, 2009.
(with M. Bostan and E. Canon) On asymptotic properties for some parameter dependent variational inequalities, Nonlinear Anal., Vol. 70, No. 4, 1663-1678, 2009.
(with M. Bostan) Weak formulations and solution multiplicity of equilibrium configurations with Coulomb friction, Math. Model. Nat. Phenom., Vol. 4, No. 1, 147-162, 2009.
(with A. Münch and Y. Ousset) On the active control of crack growth in elastic media, Comput. Methods Appl. Mech. Engrg., Vol. 198, No. 3-4, 407-419, 2008.
(with A. Münch and Y. Ousset) On the control of crack growth in elastic media, C. R. Acad. Sci. Paris Mécanique, Vol. 336, No. 5, 422-427, 2008.
(with Y. Renard) An error estimate for the Signorini problem with Coulomb friction approximated by finite elements, SIAM J. Numer. Anal., Vol. 45, No. 5, 2012-2031, 2007.
(with S. Nicaise) Residual a posteriori error estimators for contact problems in elasticity, Mathematical Modelling and Numerical Analysis (M2AN), Vol. 41, No. 5, 897-923, 2007.
Solution multiplicity and stick configurations in continuous and finite element friction problems, Comput. Methods Appl. Mech. Engrg., Vol. 196, No. 1-3, 57-65, 2006.
Une méthode par éléments finis mixte préservant la positivité pour le problème de contact en élasticité, C. R. Acad. Sci. Paris Sér. I Math., t.343, 209-212, 2006.
(with M. Bostan) Starting flow analysis for Bingham fluids, Nonlinear Anal., Vol. 64, No. 5, 1119-1139, 2006.
(with Y. Renard) Local uniqueness and continuation of solutions for the discrete Coulomb friction problem in elastostatics, Quart. Appl. Math., Vol. 63, No. 3, 553-573, 2005.
(with S. Nicaise) A posteriori error estimations of residual type for Signorini's problem, Numerische Mathematik, Vol. 101, No. 3, 523-549, 2005.
Multiple solutions of stick and separation type in the Signorini model with Coulomb friction, Z. Angew. Math. Mech., Vol. 85, No. 9, 673-680, 2005.
(with N.-D. Sakki) On solution multiplicity in friction problems with normal compliance, J. Math. Anal. Appl., Vol. 297, No. 1, 1-13, 2004.
Non-unique slipping in the Coulomb friction model in two-dimensional linear elasticity, Quart. J. Mech. Appl. Math., Vol. 57, No. 2, 225-235, 2004.
(with R. Hassani and I. Ionescu) Sufficient conditions of non-uniqueness of the elastic equilibrium with Coulomb friction, Math. Methods Appl. Sci. (M2AS), Vol. 27, No. 1, 47-67, 2004.
(with R. Hassani, I. Ionescu and N.-D Sakki) A mixed finite element method and solution multiplicity for Coulomb frictional contact, Comput. Methods Appl. Mech. Engrg., Vol. 192, No. 41-42, 4517-4531, 2003.
An example of nonuniqueness for the continuous static unilateral contact model with Coulomb friction, C. R. Acad. Sci. Paris Sér. I Math., t.337, 685-688, 2003.
(with J. R. Fernández and J. M. Viaño) Numerical approximation of the elastic-viscoplastic contact problem with non-matching meshes, Numerische Mathematik, Vol. 94, No. 3, 501-522, 2003.
(with I. Ionescu, T. Lachand-Robert and I. Rosca) The blocking of an inhomogeneous Bingham fluid. Applications to landslides, Mathematical Modelling and Numerical Analysis (M2AN), Vol. 36, No. 6, 1013-1026, 2002.
(with P. Laborde) Quadratic finite element methods for unilateral contact problems, Appl. Numer. Math., Vol. 41, No. 3, 401-421, 2002.
On finite element uniqueness studies for Coulomb's frictional contact model, Appl. Math. Comp. Sci., Vol. 12, No. 1, 41-50, 2002.
(with P. Coorevits, K. Lhalouani and T. Sassi) Mixed finite element methods for unilateral problems: convergence analysis and numerical studies, Mathematics of Computation, Vol. 71, No. 237, 1-25, 2002.
(with P. Coorevits and M. Hjiaj) A posteriori error control of finite element approximations for Coulomb's frictional contact, SIAM J. Sci. Comput., Vol. 23, No. 3, 976-999, 2001.
The mortar finite element method for Bingham fluids, Mathematical Modelling and Numerical Analysis (M2AN), Vol. 35, No. 1, 153-164, 2001.
(with J. R. Fernández and J. M. Viaño) Résolution numérique d'un problème de contact entre corps élasto-viscoplastiques et maillages éléments finis incompatibles, C. R. Acad. Sci. Paris Sér. I Math., t.331, 833-838, 2000.
(with P. Coorevits and J.-P. Pelle) A posteriori error estimation for unilateral contact with matching and nonmatching meshes, Comput. Methods Appl. Mech. Engrg., Vol. 186, No. 1, 65-83, 2000.
Approximations par éléments finis non conformes pour les fluides de Bingham, C. R. Acad. Sci. Paris Sér. I Math., t.330, 143-146, 2000.
Numerical implementation of two nonconforming finite element methods for unilateral contact, Comput. Methods Appl. Mech. Engrg., Vol. 184, No. 1, 99-123, 2000.
(with P. Coorevits and J.-P. Pelle) Contrôle et adaptation des calculs éléments finis pour les problèmes de contact unilatéral, Revue Européenne des Eléments Finis, Vol. 8, No. 1, 7-29, 1999.
(with F. Ben Belgacem and P. Laborde) Extension of the mortar finite element method to a variational inequality modeling unilateral contact, Math. Models Methods Appl. Sci. (M3AS), Vol. 9, No. 2, 287-303, 1999.
A propos d'approximation par éléments finis optimale pour les problèmes de contact unilatéral, C. R. Acad. Sci. Paris Sér. I Math., t.326, 1233-1236, 1998.
(with F. Ben Belgacem and P. Laborde) The mortar finite element method for contact problems, Math. Comput. Model. (Special issue dedicated to recent advances in contact mechanics) Vol. 28, No. 4-8, 263-271, 1998.
Nonconforming finite elements for unilateral contact with friction, C. R. Acad. Sci. Paris Sér. I Math., t.324, 707-710, 1997.
(with F. Ben Belgacem and P. Laborde) Approximation of the unilateral contact problem by the mortar finite element method, C. R. Acad. Sci. Paris Sér. I Math., t.324, 123-127, 1997.