Parallel preconditioners and high order elements for microwave imaging

M. Bonazzoli, V. Dolean, F. Rapetti, P. -H. Tournier

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

This paper combines the use of high order finite element methods with parallel preconditioners of domain decomposition type for solving electromagnetic problems arising from brain microwave imaging. The numerical algorithms involved in such complex imaging systems are computationally expensive since they require solving the direct problem of Maxwell's equations several times. Moreover, wave propagation problems in the high frequency regime are challenging because a sufficiently high number of unknowns is required to accurately represent the solution. In order to use these algorithms in practice for brain stroke diagnosis, running time should be reasonable. The method presented in this paper, coupling high order finite elements and parallel preconditioners, makes it possible to reduce the overall computational cost and simulation time while maintaining accuracy.
LanguageEnglish
JournalInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Early online date15 Feb 2017
DOIs
Publication statusE-pub ahead of print - 15 Feb 2017

Fingerprint

Higher-order Elements
Preconditioner
Microwave
High-order Finite Elements
Brain
Microwaves
Imaging
Imaging techniques
Maxwell equations
Imaging systems
Wave propagation
Computational Simulation
High-order Methods
Domain Decomposition
Stroke
Decomposition
Maxwell's equations
Finite element method
Imaging System
Numerical Algorithms

Keywords

  • Schwarz preconditioners
  • high order finite elements
  • edge elements
  • time-harmonic Maxwell's equations
  • microwave imaging

Cite this

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abstract = "This paper combines the use of high order finite element methods with parallel preconditioners of domain decomposition type for solving electromagnetic problems arising from brain microwave imaging. The numerical algorithms involved in such complex imaging systems are computationally expensive since they require solving the direct problem of Maxwell's equations several times. Moreover, wave propagation problems in the high frequency regime are challenging because a sufficiently high number of unknowns is required to accurately represent the solution. In order to use these algorithms in practice for brain stroke diagnosis, running time should be reasonable. The method presented in this paper, coupling high order finite elements and parallel preconditioners, makes it possible to reduce the overall computational cost and simulation time while maintaining accuracy.",
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Parallel preconditioners and high order elements for microwave imaging. / Bonazzoli, M.; Dolean, V.; Rapetti, F.; Tournier, P. -H.

In: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 15.02.2017.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Bonazzoli, M.

AU - Dolean, V.

AU - Rapetti, F.

AU - Tournier, P. -H.

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AB - This paper combines the use of high order finite element methods with parallel preconditioners of domain decomposition type for solving electromagnetic problems arising from brain microwave imaging. The numerical algorithms involved in such complex imaging systems are computationally expensive since they require solving the direct problem of Maxwell's equations several times. Moreover, wave propagation problems in the high frequency regime are challenging because a sufficiently high number of unknowns is required to accurately represent the solution. In order to use these algorithms in practice for brain stroke diagnosis, running time should be reasonable. The method presented in this paper, coupling high order finite elements and parallel preconditioners, makes it possible to reduce the overall computational cost and simulation time while maintaining accuracy.

KW - Schwarz preconditioners

KW - high order finite elements

KW - edge elements

KW - time-harmonic Maxwell's equations

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