Xavier Vasseur
Past address
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Since September 2016, I have moved to ISAE-SUPAERO. My new email address is <xavier.vasseur_[AT]_isae.fr>
Past position
Senior researcher in the Parallel Algorithms Project at CERFACS. (October 2005 - August 2016)
Formerly at Seminar for Applied Mathematics ,
Department of Mathematics , at the ETHZ.
(April 2002 - August 2005)
Research Interests
- Scientific computing
- Fast iterative solvers for large systems of linear and nonlinear equations
- Krylov subspace methods
- Multigrid methods
- Domain decomposition methods
- Parallel computing
- Applications in Geophysics
- Solution of the three-dimensional Helmholtz equation in the frequency domain
- Depth imaging, inverse problems
- Applications in Computational Fluid Dynamics
- Fully coupled solver for the incompressible Navier-Stokes equations
- Numerical simulation of turbulent flows on complex geometries
Publications
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X. Vasseur
``Contribution to the study of efficient iterative methods for the numerical solution of partial differential equations''
Habilitation thesis, HDR, INP Toulouse, June 1st 2016, (2016).
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M. Fisher, S. Gratton, S. Gurol, Y. Trémolet & X. Vasseur
``Low rank updates in preconditioning the saddle point systems arising from data assimilation problems''
CERFACS Technical Report TR/PA/16/142, submitted (2016).
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J. Vanharen, G. Puigt, X. Vasseur, J-F. Boussuge & P. Sagaut
``Revisiting the spectral analysis for high-order spectral discontinuous methods''
CERFACS Technical Report TR/CFD/16/120, submitted (2016).
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S. Gratton, S. Mercier, N. Tardieu & X. Vasseur
``Limited memory preconditioners for symmetric indefinite problems with application to structural mechanics''
CERFACS Technical Report TR/PA/15/48, Numerical Linear Algebra with Applications, 23, pp. 865-887 (2016).
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S. Gratton, P. Hénon, P. Jiránek & X. Vasseur
``Reducing complexity of algebraic multigrid by aggregation''
CERFACS Technical Report TR/PA/14/18, Numerical Linear Algebra with Applications, 23, pp. 501-518 (2016).
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Y. Diouane, S. Gratton, X. Vasseur, L. N. Vicente & H. Calandra
``A parallel evolution strategy for an Earth imaging problem in geophysics''
CERFACS Technical Report TR/PA/15/8, Optimization and Engineering, 17-1, pp. 3-26 (2016).
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G. Ramillien, F. Frappart, S. Gratton & X. Vasseur
``Sequential estimation of surface water mass changes from daily satellite gravimetry data''
Journal of Geodesy, 89-3, pp. 259-282 (2015).
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H. Calandra, S. Gratton, R. Lago, X. Vasseur, & L. M. Carvalho
``A modified block flexible GMRES method with deflation at each iteration for the solution of non-Hermitian linear systems with multiple right-hand sides''
CERFACS Technical Report TR/PA/13/15, SIAM J. Sci. Comput. 35-5, pp. S345-S367 (2013).
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S. Gratton, P. Jiránek & X. Vasseur
``Energy backward error: interpretation in numerical solution of elliptic partial differential equations and convergence of the conjugate gradient method''
CERFACS Technical Report TR/PA/13/16, ETNA, 40, pp. 338-355 (2013).
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H. Calandra, S. Gratton, X. Pinel & X. Vasseur
``An improved two-grid preconditioner for the solution of three-dimensional Helmholtz problems in heterogeneous media''
CERFACS Technical Report TR/PA/12/54. Numerical Linear Algebra with Applications, 20, pp. 663-688 (2013).
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H. Calandra, S. Gratton, J. Langou, X. Pinel & X. Vasseur
``Flexible variants of block restarted GMRES methods with application to geophysics''
CERFACS Technical Report TR/PA/11/14, SIAM J. Sci. Comput. 34-2, pp. A714-A736 (2012).
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G. Ramillien, L. Seoane, F. Frappart, R. Biancale, S. Gratton, X. Vasseur & S. Bourgogne
``Constrained Regional Recovery of Continental Water Mass Time-variations from GRACE-based Geopotential Anomalies over South America''
Surveys in Geophysics, 33-5, pp. 887-905 (2012).
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H. Calandra, S. Gratton, R. Lago, X. Pinel & X. Vasseur
``Two-level preconditioned Krylov subspace methods for the solution of
three-dimensional heterogeneous Helmholtz problems in seismics''
CERFACS Technical Report TR/PA/11/80, Numerical Analysis and Applications 5-2, pp. 175-181 (2012).
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L. M. Carvalho, S. Gratton, R. Lago & X. Vasseur
``A flexible Generalized Conjugate Residual method with inner orthogonalization and deflated restarting''
CERFACS Technical Report TR/PA/11/26, SIAM J. Matrix Anal. Appl. 32-4, pp. 1212-1235 (2011).
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G. Ramillien, R. Biancale, S. Gratton, X. Vasseur & S. Bourgogne
``GRACE-derived surface water mass anomalies by energy integral approach. Application to continental hydrology.''
Journal of Geodesy, 85-6, pp. 313-328 (2011).
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L. Giraud, S. Gratton, X. Pinel & X. Vasseur
``Flexible GMRES with deflated restarting''
SIAM J. Sci. Comput. 32, 4 (2010), pp. 1858-1878.
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I. S. Duff, S. Gratton, X. Pinel & X. Vasseur
``Multigrid based preconditioners for the numerical solution
of two-dimensional heterogeneous problems in geophysics''
International Journal of Computer Mathematics 84-88, (2007), pp. 1167-1181.
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A. Toselli & X. Vasseur
``A numerical study on Neumann-Neumann methods for hp approximations
on geometrically refined boundary layer meshes II: Three-dimensional problems''
SAM-Report 2003-13,
M2AN 40, 1 (2006), pp. 99-122.
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A. Toselli & X. Vasseur
``Robust and efficient FETI domain decomposition algorithms for edge element
approximations''
COMPEL 24 2 (2005) pp. 396-407.
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A. Toselli & X. Vasseur
``Dual-primal FETI algorithms for edge element approximations:
two-dimensional h and p finite elements on shape-regular meshes''
SAM-Report 2004-01,
SIAM J. Numer. Anal. 42, 6 (2005), pp. 2590-2611.
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A. Toselli & X. Vasseur
``Domain decomposition preconditioners of Neumann-Neumann type for hp-approximations
on boundary layer meshes in three dimensions''
SAM-Report 2003-01, "IMA Journal of Numerical Analysis" 24-1, pp 123-156 (2004).
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A. Toselli & X. Vasseur
``A numerical study on Neumann-Neumann and FETI methods for hp-approximations
on geometrically refined boundary layer meshes in two dimensions''
SAM-Report 2002-20, "Comp. Methods Appl. Mech. Eng." 192, pp 4551-4579 (2003).
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A. Toselli & X. Vasseur
``Domain decomposition methods of Neumann-Neumann and FETI type for
hp-approximations on geometrically refined boundary layer meshes in two dimensions''
SAM-Report 2002-15, (September 2002).
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G.B. Deng, J. Piquet, X. Vasseur & M. Visonneau
``A New Fully Coupled Method for Computing Turbulent Flows''
"Computers and Fluids", 30-4 (2001), pp. 445-472.
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J. Piquet & X. Vasseur
``A Non-standard Multigrid Method with Flexible Multiple
Semi-coarsening for the Numerical Solution of the Pressure Equation in a
Navier-Stokes Solver''
"Numerical Algorithms", 24 (2000) 4, pp 333-355.
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J. Piquet & X. Vasseur
``Multigrid Preconditioned Krylov Subspace Methods for Three-dimensional
Numerical Solutions of the Incompressible Navier-Stokes Equations''
"Numerical Algorithms", 17 (1998) 1-2, pp 1-32.
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X. Vasseur
"A Numerical Study of Convergence Acceleration
Techniques for Solving the Navier-Stokes Equations by Decoupled or
Fully Coupled Approaches"
PhD thesis, (November 1998), University of Nantes, Ecole Centrale de Nantes.
Talks and Conference Papers
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H. Calandra, S. Gratton, R. Lago, X. Pinel & X. Vasseur
``Multilevel preconditioned Krylov subspace methods for the solution of three-dimensional
heterogeneous Helmholtz problems in seismics``, First Russian-French Conference on Mathematical Geophysics, Mathematical Modeling in Continuum Mechanics and Inverse Problems, Biarritz, France, June 18-22th 2012.
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H. Calandra, S. Gratton, X. Pinel & X. Vasseur
``An approximate two-level preconditioner combined with flexible Krylov subspace methods for the solution of heterogeneous Helmholtz problems on massively parallel computers``, ESF OPTPDE Workshop, Wuerzburg, Germany, September 26-28th 2011.
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S. Gratton, X. Pinel & X. Vasseur
``A Multigrid Method for the Solution of Linear Systems with Multiple Right-Hand Sides``, Precond 2011, Bordeaux, May 16-18th 2011.
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L. Giraud & X. Vasseur
``Architectures massivement paralleles: quelques questions algorithmiques ouvertes ``, AMA 2011, Toulouse, February 8th 2011.
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P. Amestoy, S. Gratton, J-Y. L'Excellent & X. Vasseur
``'Null space computation of sparse singular matrices with MUMPS``, MUMPS User Group Meeting, Toulouse, April 16th 2010.
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S. Gratton, X. Pinel & X. Vasseur
``Massively parallel computations for the solution of Helmholtz problems in geophysics``, Department of Applied Mathematics, TU Delft, Netherlands, April 8th 2009.
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S. Gratton, X. Pinel & X. Vasseur
``A two-grid method used as a preconditioner for the solution of Helmholtz problems``, Numerical Analysis Seminar, CWI Amsterdam, Netherlands, April 6th 2009.
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H. Calandra, S. Gratton, X. Pinel & X. Vasseur
``Algebraic and geometric multigrid preconditioners for the solution of Helmholtz problems``, Ninth European Multigrid Conference
Bad Herrenalb, October 22th 2008.
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I. S. Duff, S. Gratton, X. Pinel & X. Vasseur
``Multigrid preconditioned Krylov subspace methods for the numerical solution of the Helmholtz equation in geophysics``, Numerical Analysis Seminar, Seminar fuer Analysis und Numerik, Departement Mathematik, Universitaet Basel, June 22th 2007.
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S. Gratton & X. Vasseur
``On the computation of the null space of a sparse matrix``, GAMM Siam Conference on Applied Linear Algebra, University of Duesseldorf, Germany, July 24th - 27th, 2006.
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A. Toselli & X. Vasseur
``Robust and efficient FETI domain decomposition algorithms for edge element
approximations ``. Proceedings of the 11th International IGTE
Symposium on Numerical Field Calculation in Electrical Engineering,
Seggauberg, Austria (September 2004), IGTE'04.
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A. Toselli & X. Vasseur
``Domain decomposition preconditioners of Neumann-Neumann and FETI type for hp approximations on highly anisotropic meshes'', ICOSAHOM 2004 Brown University in Providence, June 21-25 2004, invited talk in the mini-symposium "Solution Methods for Higher-order Discretizations".
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A. Toselli & X. Vasseur
``FETI and Neumann-Neumann preconditioners for hp finite element approximations on anisotropic meshes: Numerical validation'', 15th International Conference on Domain Decomposition Methods in Berlin, July 21-25 2003, invited talk
in the mini-symposium "FETI and Neumann-Neumann domain decomposition methods".
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A. Toselli & X. Vasseur
``Domain decomposition methods for hp finite element approximations
on anisotropic meshes in two dimensions'', AMAM 2003, Nice, February 10-13
2003, invited talk in the mini-symposium "High-order numerical methods".
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X. Vasseur
"Analysis of a Non-standard Multigrid Preconditioner by Spectral
Portrait Computation"
Multigrid Methods, VI, Sixth European Multigrid Conference, Gent, 27-30 September 1999. "Lecture Notes in
Computational Science and Engineering", volume 14, pp. 249-255, E. Dick, K.
Riemslagh, J. Vierendeels (eds.), Springer
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G.B. Deng, J. Piquet, X. Vasseur & M. Visonneau
``A Fully Coupled Procedure with Defect Correction Technique for
the Computation of Turbulent Incompressible Viscous Flow past an Airfoil''
Sixth Conference on Numerical Methods for Fluid Dynamics, Oxford, 31
March.- 3 Apr. 1998,pp. 285-291.
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G.B. Deng, J. Piquet, X. Vasseur & M. Visonneau
``Multigrid and Krylov Subspace Methods for the Fully Coupled Resolutionof the Incompressible Navier-Stokes Equations''
Second European Conference on Numerical Mathematics and Advanced Applications,
ENUMATH 1997, Heidelberg, 29 Sep- 3 Oct. 1997. pp. 254-261, H.G. Bock, F. Brezzi, R. Glowinski, G. Kanshat, Y.A. Kuznetsov, J.
P\'eriaux, R. Rannacher (eds.), World Scientific Singapore.
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G.B. Deng, J. Piquet, X. Vasseur & M. Visonneau
``Fully Coupled Resolution of the Three-dimensional
Navier-Stokes
Equations on Cell-centered Colocated Grids by a Non-linear Multigrid
Approach''
5th Annual Conference of the CFD Society of Canada, pp. 3-55-60, Victoria,
British Columbia, Canada, May 1997. pp. 3-55--3-60.
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X. Vasseur
`` A FMG-FAS Procedure for the Fully Coupled Resolution
of the Navier-Stokes Equations on Cell-centered Colocated Grids``
8th Copper Mountain Conference on Multigrid Methods
, Copper
Mountain, CO, USA, 6-11 April 1997.
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J. Piquet & X. Vasseur
``Three-dimensional Multigrid Based Pressure Solver
for the Computation of the Flow around the HSVA Tanker``
Thirteenth GAMM-Seminar "Numerical Treatment of Multi-Scale Problems",
Kiel, 24-26 January 1997. Notes in Numerical Fluid Mechanics,
volume 70, pp. 146-155, W. Hackbusch, G. Wittum (eds.), Vieweg.
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J. Piquet & X. Vasseur
``Comparisons between Preconditioned BICGSTAB and a Multigrid
Method for the Resolution of the Pressure Equation in a
Navier-Stokes Solver''
Multigrid Methods, V, Fifth European Multigrid Conference,
Stuttgart, 1-4 October 1996. "Lecture Notes in
Computational Science and Engineering", volume 3, pp. 225-243, W. Hackbusch,
G. Wittum (eds.), Springer.
The beauty of maths according to Calvin and Hobbes...
December-16-2005 /
Author : Xavier Vasseur