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Research Output 2001 2019

2019

An introduction to multitrace formulations and associated domain decomposition solvers

Claeys, X., Dolean, V. & Gander, M. J., 1 Jan 2019, In : Applied Numerical Mathematics. 135, p. 69-86 18 p.

Research output: Contribution to journalArticle

Open Access
File
Domain Decomposition
Decomposition
Trace
Formulation
Schwarz Methods

Detection of brain strokes using microwave tomography

Coli, V. L., Tournier, P-H., Dolean, V., El Kanfoud, I., Pichot, C., Migliaccio, C. & Blanc-Féraud, L., 14 Jan 2019, 2018 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting - Proceedings. Piscataway, NJ: IEEE, p. 223-224 2 p. 8609404

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
strokes
brain
Tomography
Brain
tomography

Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption

Bonazzoli, M., Dolean, V., Graham, I. G., Spence, E. A. & Tournier, P-H., 30 May 2019, In : Mathematics of Computation. 88, 320, p. 2559-2604 46 p.

Research output: Contribution to journalArticle

Open Access
File
Maxwell equations
Domain Decomposition
Preconditioning
Maxwell's equations
Preconditioner
2 Citations (Scopus)

Microwave tomographic imaging of cerebrovascular accidents by using high-performance computing

Tournier, P-H., Aliferis, I., Bonazzoli, M., Buhan, M. D., Darbas, M., Dolean, V., Hecht, F., Jolivet, P., El Kanfoud, I., Migliaccio, C., Nataf, F., Pichot, C. & Semenov, S., 31 Jul 2019, In : Parallel Computing. 85, p. 88-97 10 p.

Research output: Contribution to journalArticle

Accidents
Microwave
High Performance
Microwaves
Imaging
2018
3 Citations (Scopus)
Open Access
File
Edge Finite Elements
Vandermonde Matrix
High-order Finite Elements
Maxwell equations
Preconditioning

Asymptotic analysis of optimized Schwarz methods for Maxwell's equations with discontinuous coefficients

Dolean, V., Gander, M. J. & Veneros, E., 30 Nov 2018, In : ESAIM: Mathematical Modelling and Numerical Analysis. 52, 6, p. 2457-2477 21 p.

Research output: Contribution to journalArticle

Open Access
File
Schwarz Methods
Discontinuous Coefficients
Asymptotic analysis
Maxwell equations
Maxwell's equations

A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations

Bonazzoli, M., Dolean, V., Graham, I. G., Spence, E. A. & Tournier, P-H., 21 Feb 2018, (Accepted/In press) In : Lecture Notes in Computational Science and Engineering.

Research output: Contribution to journalArticle

Open Access
File
Helmholtz equation
Maxwell equations
Decomposition
1 Citation (Scopus)
Open Access
File
Domain decomposition methods
Discontinuous Galerkin
Stokes Problem
Galerkin methods
Domain Decomposition
Open Access
File
Domain Decomposition
Stokes
Preconditioner
Elasticity
Stokes Equations

Two-level preconditioners for the Helmholtz equation

Bonazzoli, M., Dolean, V., Graham, I. G., Spence, E. A. & Tournier, P-H., 21 Feb 2018, (Accepted/In press) Lecture Notes in Computational Science and Engineering. Cham, Switzerland: Springer, (Lecture Notes in Computational Science and Engineering).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File
Helmholtz equation
Decomposition
2017

Closed form inverse of local multi-trace operators

Ayala, A., Claeys, X., Dolean, V. & Gander, M. J., 18 Mar 2017, Domain Decomposition Methods in Science and Engineering XXIII. Lee, C-O., Cai, X-C., Keyes, D. E., Kim, H. H., Klawonn, A., Park, E-J. & Widlund, O. B. (eds.). Berlin: Springer-Verlag, p. 107-115 9 p. (Lecture Notes in Computational Science and Engineering; vol. 116).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
Closed-form
Trace
Transmission Problem
Operator
Formulation
2 Citations (Scopus)

Microwave tomography for brain stroke imaging

Tournier, P. H., Hecht, F., Nataf, F., Semenov, S., Bonazzoli, M., Rapetti, F., Dolean, V., El Kanfoud, I., Aliferis, I., Migliaccio, C. & Pichot, C., 18 Oct 2017, 2017 IEEE Antennas and Propagation Society International Symposium, Proceedings. Institute of Electrical and Electronics Engineers Inc., Vol. 2017-January. p. 29-30 2 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
strokes
brain
Tomography
Brain
tomography
1 Citation (Scopus)

Optimized Schwarz methods for heterogeneous Helmholtz and Maxwell's equations

Dolean, V., Gander, M. J., Veneros, E. & Zhang, H., 18 Mar 2017, Domain Decomposition Methods in Science and Engineering XXIII. Berlin: Springer-Verlag, p. 145-152 8 p. (Lecture Notes in Computational Science and Engineering; vol. 116).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
Schwarz Methods
Helmholtz equation
Maxwell equations
Helmholtz Equation
Maxwell's equations
4 Citations (Scopus)

Parallel preconditioners and high order elements for microwave imaging

Bonazzoli, M., Dolean, V., Rapetti, F. & Tournier, P. -H., 15 Feb 2017, In : International Journal of Numerical Modelling: Electronic Networks, Devices and Fields.

Research output: Contribution to journalArticle

Open Access
File
Higher-order Elements
Preconditioner
Microwave
High-order Finite Elements
Brain

Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell's equations

Bonazzoli, M., Dolean, V., Pasquetti, R. & Rapetti, F., 18 Mar 2017, Domain Decomposition Methods in Science and Engineering XXIII. Lee, C-O., Cai, X-C., Hansford, V., Kim, H. H., Klawonn, A., Park, E-J. & Widlund, O. B. (eds.). Berlin: Springer-Verlag, p. 117-124 8 p. (Lecture Notes in Computational Science and Engineering; vol. 116).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
Additive Schwarz
Edge Elements
Maxwell equations
Preconditioning
Maxwell's equations
2016

An introduction to domain decomposition methods. Algorithms, theory, and parallel implementation

Dolean, V., Jolivet, P. & Nataf, F., 4 Feb 2016, 238 p.

Research output: Book/ReportBook

Domain Decomposition Method
Parallel Implementation
Solid Mechanics
Electromagnetism
Flow in Porous Media
1 Citation (Scopus)

Multitrace formulations and Dirichlet-Neumann algorithms

Dolean, V. & Gander, M. J., 30 Mar 2016, Domain Decomposition Methods in Science and Engineering XXII. Dickopf, T., Gander, M. J., Halpern, L., Krause, R. & Pavarino, L. F. (eds.). Cham: Springer-Verlag, Vol. 104. p. 147-155 9 p. (Lecture Notes in Computational Science and Engineering; vol. 104).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
File
Boundary integral equations
Iterative methods
Dirichlet
Decomposition
Boundary Integral Method
10 Citations (Scopus)

Nonlinear preconditioning: how to use a nonlinear Schwarz method to precondition Newton's method

Dolean, V., Gander, M. J., Kheriji, W., Kwok, F. & Masson, R., 1 Nov 2016, In : SIAM Journal on Scientific Computing. 38, 6, p. A3357-A3380 24 p.

Research output: Contribution to journalArticle

Open Access
File
Additive Schwarz
Schwarz Methods
Domain decomposition methods
Precondition
Newton-Raphson method
1 Citation (Scopus)

Schwarz methods for second order Maxwell equations in 3D with coefficient jumps

Dolean, V., Gander, M. J. & Veneros, E., 1 Feb 2016, Domain Decomposition Methods in Science and Engineering XXII. Cham: Springer-Verlag, Vol. 104. p. 471-479 9 p. (Lecture Notes in Computational Science and Engineering; vol. 104).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
Schwarz Methods
Maxwell equations
Maxwell's equations
Jump
Discontinuity
6 Citations (Scopus)

Whole-microwave system modeling for brain imaging

El Kanfoud, I., Dolean, V., Migliaccio, C., Lanteri, J., Aliferis, I., Pichot, C., Tournier, P-H., Nataf, F., Hecht, F., Semenov, S., Bonazzoli, M., Rapetti, F., Pasquetti, R., De Buhan, M., Kray, M. & Darbas, M., 7 Mar 2016, Proceeding - 2015 IEEE International Conference on Antenna Measurements and Applications, IEEE CAMA 2015. Piscataway: Institute of Electrical and Electronics Engineers Inc., 4 p. 7428123

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
Ceramics
Microwaves
Neuroimaging
brain
Brain
2015
Open Access
File
Hermann Von Helmholtz
Dirichlet
Communication
Operator

Discontinuous Galerkin discretizations of optimized Schwarz methods for solving the time-harmonic Maxwell's equations

El Bouajaji, M., Dolean Maini, V., Gander, M. J., Lanteri, S. & Perrussel, R., 3 Nov 2015, In : ETNA - Electronic Transactions on Numerical Analysis. 44, p. 572-592 21 p.

Research output: Contribution to journalArticle

Schwarz Methods
Discontinuous Galerkin
Maxwell's equations
Harmonic
Discretization
28 Citations (Scopus)

Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations

Dolean, V., Gander, M. J., Lanteri, S., Lee, J-F. & Peng, Z., 1 Jan 2015, In : Journal of Computational Physics. 280, p. 232-247 16 p.

Research output: Contribution to journalArticle

Open Access
File
Domain decomposition methods
Maxwell equations
Maxwell equation
Helmholtz equation
Helmholtz equations
2 Citations (Scopus)

High order edge finite element approximations for the time-harmonic Maxwell's equations

Bonazzoli, M., Gaburro, E., Dolean, V. & Rapetti, F., 8 Jan 2015, 2014 IEEE Conference on Antenna Measurements and Applications, CAMA 2014. Piscataway, NJ: IEEE, 4 p. 7003328

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Helmholtz equation
Maxwell equations
Electromagnetic waves
Pollution
2014
1 Citation (Scopus)

Achieving robustness through coarse space enrichment in the two level Schwarz framework

Spillane, N., Dolean, V., Hauret, P., Nataf, F., Pechstein, C. & Scheichl, R., 21 Apr 2014, Domain Decomposition Methods in Science and Engineering XXI. Erhel, J., Gander, M. J., Halpern, L., Pichot, G., Sassi, T. & Widlund, O. (eds.). Springer-Verlag, Vol. 98. p. 447-456 10 p. (Lecture Notes in Computational Science and Engineering; vol. 98).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
Robustness
Jump
Coefficient
Additive Schwarz Method
Two-level Method
9 Citations (Scopus)

A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator

Conen, L., Dolean, V., Krause, R. & Nataf, F., 1 Dec 2014, In : Journal of Computational and Applied Mathematics. 271, p. 83-99 17 p.

Research output: Contribution to journalArticle

Open Access
File
Helmholtz equation
Hermann Von Helmholtz
Helmholtz Equation
Dirichlet
Domain decomposition methods

DG discretization of optimized Schwarz methods for Maxwell's equations

El Bouajaji, M., Dolean, V., Gander, M. J., Lanteri, S. & Perrussel, R., 21 Apr 2014, Domain Decomposition Methods in Science and Engineering XXI. Erhel, J., Gander, M. J., Halpern, L., Pichot, G., Sassi, T. & Widlund, O. (eds.). Springer-Verlag, Vol. 98. p. 217-225 9 p. (Lecture Notes in Computational Science and Engineering; vol. 98).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
Schwarz Methods
Domain decomposition methods
Discontinuous Galerkin
Maxwell equations
Galerkin methods

Optimized Schwarz methods for curl-curl time-harmonic Maxwell's equations

Dolean, V., Gander, M. J., Lanteri, S., Lee, J-F. & Peng, Z., 21 Apr 2014, Domain Decomposition Methods in Science and Engineering XXI. Erhel, J., Gander, M. J., Halpern, L., Pichot, G., Sassi, T. & Widlund, O. (eds.). Springer-Verlag, Vol. 98. p. 587-595 9 p. (Lecture Notes in Computational Science and Engineering; vol. 98).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
Schwarz Methods
Curl
Maxwell equations
Maxwell's equations
Harmonic
2 Citations (Scopus)

Optimized schwarz methods for Maxwell equations with discontinuous coefficients

Dolean, V., Gander, M. J. & Veneros, E., 14 Nov 2014, Domain Decomposition Methods in Science and Engineering XXI. Erhel, J., Gander, M. J., Halpern, L., Pichot, G., Sassi, T. & Widlund, O. (eds.). Berlin: Springer, p. 517-525 9 p. (Lecture Notes in Computational Science and Engineering; vol. 98).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
Schwarz Methods
Discontinuous Coefficients
Maxwell equations
Maxwell's equations
Jump
6 Citations (Scopus)

Two-level domain decomposition methods for highly heterogeneous Darcy equations. Connections with multiscale methods

Dolean, V., Jolivet, P., Nataf, F., Spillane, N. & Xiang, H., Jul 2014, In : Oil & Gas Science and Technology. 69, 4, p. 731-752 22 p.

Research output: Contribution to journalArticle

Open Access
File
Domain decomposition methods
Partial differential equations
Porous materials
Decomposition
2013
63 Citations (Scopus)

Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps

Spillane, N., Dolean Maini, V., Hauret, P., Nataf, F., Pechstein, C. & Scheichl, R., 2013, In : Numerische Mathematik. n/a, n/a, p. n/a 30 p.

Research output: Contribution to journalArticle

File
Generalized Eigenproblem
Systems of Partial Differential Equations
Partial differential equations
Overlap
Partial differential equation

A two-level Schwarz preconditioner for heterogeneous problems

Dolean, V., Nataf, F., Scheichl, R. & Spillane, N., 15 Jul 2013, Domain Decomposition Methods in Science and Engineering XX. Bank, R., Holst, M., Widlund, O. & Xu, J. (eds.). Berlin: Springer-Verlag, (Lecture Notes in Computational Science and Engineering; vol. 91).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Preconditioner
Domain Decomposition Method
Elliptic Problems
Breakdown
Discontinuity
4 Citations (Scopus)

Comparison of a one and two parameter family of transmission conditions for Maxwell's equations with damping

El Bouajaji, M., Dolean, V., Gander, M. J. & Lanteri, S., 15 Jul 2013, Domain Decomposition Methods in Science and Engineering XX. Bank, R., Holst, M., Widlund, O. & Xu, J. (eds.). Berlin: Springer-Verlag, p. 271-278 8 p. (Lecture Notes in Computational Science and Engineering; vol. 91).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Transmission Conditions
Curl
Maxwell's equations
Two Parameters
Damping
19 Citations (Scopus)

Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method

Spillane, N., Dolean Maini, V., Hauret, P., Nataf, F. & Rixen, D. J., 31 Mar 2013, In : Comptes Rendus Mathematique. 351, 5-6, p. 197-201 5 p.

Research output: Contribution to journalArticle

Generalized Eigenvalue Problem
Two-level Method
Theoretical Analysis
Rate of Convergence
Decompose

Symbolic techniques for domain decomposition methods

Cluzeau, T., Dolean Maini, V., Nataf, F. & Quadrat, A., 9 May 2013, Domain Decomposition Methods in Science and Engineering XX. Bank, R., Holst, M., Widlund, O. & Xu, J. (eds.). Berlin: Springer-Verlag, p. 27-38 12 p. (Lecture Notes in Computational Science and Engineering; vol. 91).

Research output: Chapter in Book/Report/Conference proceedingChapter

Domain decomposition methods
Iterative methods
Data storage equipment
Computer simulation
2012
39 Citations (Scopus)

Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps

Dolean Maini, V., Nataf, F., Scheichl, R. & Spillane, N., 1 Jan 2012, In : Computational Methods in Applied Mathematics. 12, 4, p. 391–414 24 p.

Research output: Contribution to journalArticle

Two-level Method
Schwarz Methods
Dirichlet-to-Neumann Map
Domain decomposition methods
Coefficient
20 Citations (Scopus)

High performance domain decomposition methods on massively parallel architectures with freefem++

Jolivet, P., Dolean, V., Hecht, F., Nataf, F., Prud'Homme, C. & Spillane, N., 31 Dec 2012, In : Journal of Numerical Mathematics. 20, 3-4, p. 287-302 6 p.

Research output: Contribution to journalArticle

Domain decomposition methods
Parallel architectures
Parallel Architectures
Domain Decomposition Method
Parallel Implementation
31 Citations (Scopus)

Optimized Schwarz methods for the time-harmonic Maxwell equations with damping

El Bouajaji, M., Dolean, V., Gander, M. J. & Lanteri, S., 17 Jul 2012, In : SIAM Journal on Scientific Computing. 34, 4

Research output: Contribution to journalArticle

Schwarz Methods
Maxwell equations
Maxwell's equations
Damping
Harmonic
2011
37 Citations (Scopus)

A course space construction based on local Dirichlet-to-Neumann maps

Nataf, F., Xiang, H., Dolean Maini, V. & Spillane, N., 21 Jul 2011, In : SIAM Journal on Scientific Computing. 33, 4, p. 1623-1642 20 p.

Research output: Contribution to journalArticle

Open Access
File
Dirichlet-to-Neumann Map
Domain decomposition methods
Linear systems
Grid
Decomposition
23 Citations (Scopus)

A robust two-level domain decomposition preconditioner for systems of PDEs

Spillane, N., Dolean, V., Hauret, P., Nataf, F., Pechstein, C. & Scheichl, R., 31 Dec 2011, In : Comptes Rendus Mathematique. 349, 23-24, p. 1255-1259 5 p.

Research output: Contribution to journalArticle

Domain Decomposition
Preconditioner
Generalized Eigenvalue Problem
Elasticity Problem
Domain Decomposition Method
3 Citations (Scopus)

Hybrid explicit-implicit time integration for grid-induced stiffness in a DGTD method for time domain electromagnetics

Dolean, V., Fahs, H., Fezoui, L. & Lanteri, S., 2 Nov 2011, Spectral and High Order Methods for Partial Differential Equations: Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway. Hesthaven, J. S. & Rønquist, E. M. (eds.). London: Springer, p. 163-170 8 p. (Lecture Notes in Computational Science and Engineering; vol. 76).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Discontinuous Galerkin
Time Integration
Time Domain
Stiffness
Electromagnetic wave propagation
2010
8 Citations (Scopus)
Electromagnetic wave propagation
Discontinuous Galerkin
Galerkin methods
Electromagnetic Wave
Wave Propagation
4 Citations (Scopus)

Can the discretization modify the performance of Schwarz methods?

Dolean, V. & Gander, M. J., 3 Dec 2010, Domain Decomposition Methods in Science and Engineering XIX. Springer, Vol. 78. p. 117-124 8 p. (Lecture Notes in Computational Science and Engineering; vol. 78 LNCSE).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
Schwarz Methods
Domain decomposition methods
Discretization
Domain Decomposition Method
Convergence Speed
8 Citations (Scopus)

Domain decomposition methods for electromagnetic wave propagation problems in heterogeneous media and complex domains

Dolean, V., Bouajaji, M. E., Gander, M. J., Lanteri, S. & Perrussel, R., 29 Oct 2010, Domain Decomposition Methods in Science and Engineering XIX. Huang, Y., Kornhuber, R., Widlund, O. & Xu, J. (eds.). London: Springer, p. 15-26 12 p. (Lecture Notes in Computational Science and Engineering; vol. 78).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Electromagnetic wave propagation
Domain decomposition methods
Heterogeneous Media
Domain Decomposition Method
Galerkin methods
55 Citations (Scopus)

Locally implicit discontinuous Galerkin method for time domain electromagnetics

Dolean Maini, V., Fahs, H., Fezoui, L. & Lanteri, S., 20 Jan 2010, In : Journal of Computational Physics. 229, 2, p. 512-526 15 p.

Research output: Contribution to journalArticle

File
Galerkin method
Discontinuous Galerkin Method
Galerkin methods
Time Domain
Discontinuous Galerkin
7 Citations (Scopus)

Optimized Schwarz methods for Maxwell's equations with non-zero electric conductivity

Dolean, V., Bouajaji, M. E., Gander, M. J. & Lanteri, S., 29 Oct 2010, Domain Decomposition Methods in Science and Engineering XIX. Huang, Y., Kornhuber, R., Widlund, O. & Xu, J. (eds.). London: Springer, p. 269-276 8 p. (Lecture Notes in Computational Science and Engineering; vol. 78).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Schwarz Methods
Maxwell equations
Maxwell's equations
Conductivity
Helmholtz equation
4 Citations (Scopus)

Recent achievements on a DGTD method for time-domain electromagnetics

Fahs, H., Fezoui, L., Lanteri, S., Dolean, V. & Rapetti, F., 31 Aug 2010, In : IEEE Transactions on Magnetics. 46, 8, p. 3061-3064 4 p.

Research output: Contribution to journalArticle

Maxwell equations
Computational efficiency
Electromagnetic fields
Polynomials
1 Citation (Scopus)

Schwarz waveform relaxation methods for systems of semi-linear reaction-diffusion equations

Descombes, S., Dolean, V. & Gander, M. J., 29 Oct 2010, Domain Decomposition Methods in Science and Engineering XIX. Huang, Y., Kornhuber, R., Widlund, O. & Xu, J. (eds.). London: Springer, p. 423-430 8 p. (Lecture Notes in Computational Science and Engineering; vol. 78).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Waveform Relaxation Method
Semilinear Equations
Reaction-diffusion Equations
Partial differential equations
Decomposition
17 Citations (Scopus)

Une méthode de décomposition de domaine à deux niveaux basée sur l'opérateur de Steklov-Poincaré

Nataf, F., Xiang, H. & Dolean, V., 30 Nov 2010, In : Comptes Rendus Mathematique. 348, 21-22, p. 1163-1167 5 p.

Research output: Contribution to journalArticle

Dirichlet-to-Neumann Map
Domain Decomposition
Preconditioner
Grid
Domain Decomposition Method
2009

A domain decomposition preconditioner of neumann-neumann type for the stokes equations

Dolean, V., Nataf, F. & Rapin, G., 12 Oct 2009, Domain Decomposition Methods in Science and Engineering XVIII. Springer, Vol. 70. p. 161-168 8 p. (Lecture Notes in Computational Science and Engineering; vol. 70 LNCSE).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
Stokes Equations
Domain Decomposition
Preconditioner
Decomposition
Domain decomposition methods