Patrice Hauret

 


Main interests in Applied Mathematics


Elasticity

Time integration methods

Domain decomposition and multi-scale methods

Mixed methods (mortar gluing, incompressibility, displacement-stress formulations, contact)





Habilitation Thesis


Contributions to the dynamic analysis of multi-scale structures

Contributions à la simulation numérique des structures multi-échelles

Applied Mathematics, Université Pierre & Marie Curie, October 2011

Jury: G. Allaire, P. Laborde, P. Le Tallec, O. Pironneau, B. Wohlmuth



Papers and Research Reports



  1. N.Spillane, V. Dolean, P. Hauret, F. Nataf, C. Pechsteing, R. Scheichl

Abstract Robust Coarse Spaces for Systems of PDEs via Gereralized Eigenproblems in the Overlap

Submitted to Numerische Mathematik, 2011    [pdf]


P Hauret, F. Hecht

A Low Order Self-Adjoint Discrete Differential Sequence for Elasticity

Submitted to SIAM J. Scientific Computing, 2011


  1. N.Spillane, V. Dolean, P. Hauret, F. Nataf, C. Pechsteing, R. Scheichl

A Robust Two Level Domain Decomposition Preconditioner for Systems of PDEs

Accepted for publication in C.R.A.S, Paris, 2011; HAL archive    [pdf]


C. Hager, P. Hauret, P. Le Tallec, B.Wohlmuth

Solving Dynamic Contact Problems with Local Refinement in Space and Time

Accepted for publication in Comp. Meth. App. Mech. Eng., 2011  [pdf] [online]


P. Hauret

Mixed Interpretation and Extensions of the Equivalent

Mass Matrix Approach for Elastodynamics with Contact

Comp. Meth. App. Mech. Eng., 199 (45-48), p. 2941-2957, 2010  [pdf]


C. Hager, P. Hauret, P. Le Tallec, B.Wohlmuth

Overlapping Domain Decomposition for Multiscale Dynamic Contact Problems

IANS Preprint 2010 / 007, Universität Stuttgart  [pdf]


P. Hauret, J. Salomon, A. Weiss and B Wohlmuth

Energy Consistent Co-Rotational Schemes for Frictional Contact Problems

Cahiers du CEREMADE, preprint 2007-12   [pdf]

SIAM J. Scientific Computing, 30 (5): 2488-2511, 2008


P. Hauret and P. Le Tallec

A Discontinuous Stabilized Mortar Method for General 3D Elastic Problems

Comp. Meth. App. Mech. Eng., 196 (49), p.4881-4900, Nov 2007    [pdf]


S. Conti, P. Hauret and M. Ortiz

Concurrent Multiscale Computing of Deformation Microstructure by

Relaxation and Local Enrichment with Application to Single-Crystal Plasticity

SIAM J. Multiscale Modelling and Simulation, 6: 135-157, 2007   [pdf]


P. Hauret, E. Kuhl and M. Ortiz

Diamonds Elements: A Finite-Element Discretization Scheme with

Guaranteed Optimal Convergence in Incompressible Elasticity

Int. J. Num. Meth. Eng., 72: 253-294, 2007    [pdf]


P. Hauret and M. Ortiz

BV Estimates for Mortar Methods in Elasticity

Comp. Meth. App. Mech. Eng.  195: 4783-4793, 2006    [pdf]


P. Hauret and P. Le Tallec

Energy-Controlling Time Integration Methods for Nonlinear Elastodynamics and Low-Velocity Impact

Comp. Meth. App. Mech. Eng.  195: 4890-4916, 2006    [pdf]


P. Le Tallec, J.-F. Gerbeau, P. Hauret and M. Vidrascu

Fluid-Structure Interactions Problems in Large Deformation

C.R.A.S. Paris Mécanique, 333 (12): 910-922, 2005    [pdf]


P. Hauret and P. Le Tallec

A Stabilized Discontinuous Mortar Formulation for Elastostatics and Elastodynamics

Part II: Discontinuous Lagrange Multipliers

Ecole Polytechnique CMAP, Internal Report 554, Sept. 2004    [pdf]


P. Hauret and P. Le Tallec

A Stabilized Discontinuous Mortar Formulation for Elastostatics and Elastodynamics

Part I: Formulation and Analysis

Ecole Polytechnique CMAP, Internal Report 553, Sept. 2004    [pdf]   


P. Hauret and P. Le Tallec

Two-Scale Dirichlet-Neumann Preconditioners for Elliptic Problems with

Small Disjoint Geometric Refinements on the Boundary

Ecole Polytechnique CMAP, Internal Report 552, Sept. 2004

Comp. Meth. App. Mech. Eng., 196 (8): 1574-1588, 2006    [pdf]


P. Hauret and P. Le Tallec

Conservation Analysis for Integration Schemes in Quasi-Incompressible Elastodynamics

Ecole Polytechnique CMAP, Internal Report 499, Oct. 2002    [pdf]



Ph.D. Dissertation


Méthodes Numériques pour la Dynamique des Structures

Non-Linéaires Incompressibles à Deux Échelles


Numerical Methods for the Dynamic Analysis of

Two-Scale Incompressible Nonlinear Structures


Ecole Polytechnique, 2004            Overview and Downloading by parts



Conference Proceedings

(the [original] sign indicates the presence of developments or collaborative work not published in the journal articles or research reports above)


P. Le Tallec, F. Dambakizi and P.Hauret

Numerical Solution of Dynamic Contact Problems

ECCOMAS Thematic Conference on Computational Methods in

Structural Dynamics and Earthquake Engineering

M. Papadrakakis, D.C. Charmpis, N.D. Lagaros and Y.Tsompanakis eds

Rethymno, Crete, Greece, 13-16 June 2007    [original]  [pdf]


P. Hauret, P. Le Tallec

Two-Scale Dirichlet-Neumann Preconditioners for Boundary Refinements

16th International Conference on Domain Decomposition Methods

Courant Institute, New York, January 2005   [refereed]   [pdf]


P. Le Tallec and P. Hauret

Energy Conservation in Fluid-Structure Interactions

Numerical Methods for Scientific Computing / Variational Problems and Applications

Y. Kuznetsov, P. Neittanmaki, O. Pironneau eds, CIMNE, Barcelona, 2003  [original]  [pdf]


P. Le Tallec and P. Hauret

Nonlinear Schemes and Multiscale Preconditioners for Time Evolution

Problems in Constrained Structural Dynamics

Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics

K.J. Bathe ed., Elsevier, Cambridge, USA, June 2003


P. Le Tallec, P. Hauret and A.Rezgui

Efficient Solvers for the Dynamic Analysis of Nonlinear Multiscale Structures

Proceeding of the 5th World Congress on Computational Mechanics

H.A. Mang, F.G. Rammerstorfer and J. Eberardsteiner eds, TU Vienna, July 2002



Seminars and Conference Talks

(in addition to the conferences for which proceedings articles have been written)


P. Hauret and P. Le Tallec

Méthodes Numériques pour la Simulation des Structures Multi-échelles avec Contact

Université de Besançon, Novembre 2007


P. Hauret and P. Le Tallec

Some contributions to the Simulation of Multi-Scale Phenomena in Elastodynamics:

From Contact Formulation to Non-Conforming Domain Decomposition

Ecole d’Eté CEA-EDF-INRIA, 25 June-6 July 2007


P. Hauret, E. Kuhl and M. Ortiz

Discrete Differential Calculus and Analysis for Incompressible Elasticity

WCCM 7, Los Angeles, July 2006     [keynote talk]


P. Hauret and P. Le Tallec

Energy-Controlling Time Integration Schemes for Mechanical Problems with Contact

WCCM 7, Los Angeles, July 2006


P. Hauret and P. Le Tallec

Méthodes Numériques pour la Simulation des Structures Complexes

Université de Toulouse, Janvier 2006


P. Le Tallec, P. Hauret and S. Mani

Matching Different Models and Different Scales in 3D structural mechanics.

USNCCM8, University of Texas at Austin, summer 2005


P. Hauret and P. Le Tallec

Stabilized Discontinuous Mortar Formulations for 3D Nonlinear Elastodynamics and Industrial Applications

16th International Conference on Domain Decomposition Methods

Courant Institute, New York, January 2005


P. Hauret and P. Le Tallec

Energy-Controlling Time Integration Schemes: Extension to Contact and Viscoelasticity

CIMMS, California Institute of Technology, October 2004


P. Hauret and P. Le Tallec

Simulation Numérique en Élastodynamique Non-Linéaire Quasi-Incompressible

CERMICS, January 2003



Honors


Ecole Polytechnique Ph.D. Award, 2005


Reviewer for:

Computer Methods in Applied Mechanics and Engineering  

International Journal for Numerical Methods in Engineering 

SIAM Journal on Scientific Computing 

Computational Mechanics

Mathematical Modeling and Numerical Analysis

Comptes Rendus de l’Académie des Sciences

Numerische Mathematik



The image on the upper left corner of the page represents a laminated microstructure in a BCC crystal, with one color per activated slip system; visualization software by S. Aubry, M. Fago, M. Ortiz. Further details in “Concurrent Multiscale Computing of Deformation Microstructure by Relaxation and Local Enrichment with Application to Single-Crystal Plasticity” SIAM J. Multiscale Modelling and Simulation, 6: 135-137, 2007 by S. Conti, P. Hauret, M. Ortiz


Last modified, September 2011

Copyright©2006 Patrice Hauret

Hereafter, the downloadable versions of copyrighted works are preliminary or preprint versions.
hauret @ cmapx.polytechnique.fr