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Vanessa Lleras

University of Franche-Comté

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Publication

Featured researches published by Vanessa Lleras.

SIAM Journal on Numerical Analysis | 2009

Residual Error Estimators for Coulomb Friction

Patrick Hild; Vanessa Lleras

This paper is concerned with residual error estimators for finite element approximations of Coulomb frictional contact problems. A recent uniqueness result by Renard in [SIAM J. Math. Anal., 38 (2006), pp. 452-467] for the continuous problem allows us to perform an a posteriori error analysis. We propose, study, and implement numerically two residual error estimators associated with two finite element discretizations. In both cases the estimators permit us to obtain upper and lower bounds of the discretization error.

Archive | 2013

A Residual Type Error Estimate for the Static Coulomb Friction Problem with Unilateral Contact

Patrick Hild; Vanessa Lleras

This paper is concerned with residual error estimators for finite element approximations of Coulomb frictional contact problems. A recent uniqueness result by Renard in [66] for the continuous problem allows us to perform the a posteriori error analysis.

Mathematical Modelling and Numerical Analysis | 2012

A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies

Saber Amdouni; Patrick Hild; Vanessa Lleras; Maher Moakher; Yves Renard

Esaim: Proceedings | 2009

Dynamics of red blood cells in 2d

Cuc Bui; Vanessa Lleras; Olivier Pantz

Esaim: Proceedings | 2009

A POSTERIORI ERROR ANALYSIS FOR POISSON'S EQUATION APPROXIMATED BY XFEM

Patrick Hild; Vanessa Lleras; Yves Renard

arXiv: Numerical Analysis | 2018

Finite element method with local damage on the mesh

Michel Duprez; Vanessa Lleras; Alexei Lozinski

arXiv: Computational Engineering, Finance, and Science | 2018

Quantifying discretization errors for soft-tissue simulation in computer assisted surgery: a preliminary study

Michel Duprez; Stéphane Bordas; Marek Bucki; Huu Phuoc Bui; Franz Chouly; Vanessa Lleras; Claudio Lobos; Alexei Lozinski; Pierre-Yves Rohan; Satyendra Tomar

Archive | 2017

Nitsche-based finite element method for contact with Coulomb friction

Franz Chouly; Patrick Hild; Vanessa Lleras; Yves Renard

Esaim: Proceedings | 2016

Study of a Depressurisation Process at Low Mach number in a nuclear reactor core

Andrea Bondesan; Stéphane Dellacherie; Hélène Hivert; Jonathan Jung; Vanessa Lleras; Colin Mietka; Yohan Penel

Nonlinear Analysis-theory Methods & Applications | 2010

Some remarks on time-dependent variational problems and their asymptotic behaviour

Mihai Bostan; Vanessa Lleras

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Patrick Hild

University of Franche-Comté

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Yves Renard

University of Lyon

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Alexei Lozinski

Institut de Mathématiques de Toulouse

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Franz Chouly

University of Franche-Comté

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Andrea Bondesan

Paris Descartes University

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Colin Mietka

University of Lyon

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Huu Phuoc Bui

University of Strasbourg

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Mihai Bostan

University of Franche-Comté

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Olivier Pantz

École Polytechnique

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Pierre-Yves Rohan

Arts et Métiers ParisTech

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