Parallel preconditioners for high‐order discretizations arising from full system modeling for brain microwave imaging. (15th February 2017)

• Record Type: Journal Article
• Authors: Bonazzoli, Marcella; Dolean, Victorita; Rapetti, Francesca; Tournier, Pierre‐Henri
• Other Names: Krähenbühl Laurent guestEditor.; Scorretti Riccardo guestEditor.; Geuzaine Christophe guestEditor.
• Is Part Of: International journal of numerical modelling. Volume 31:Number 2(2018)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2017-02-15
• Subjects: edge elements -- high‐order finite elements -- microwave imaging -- Schwarz preconditioners -- time‐harmonic Maxwell equations; Electric networks -- Mathematical models -- Periodicals; Electronics -- Mathematical models -- Periodicals; 621.3011
• DOI: 10.1002/jnm.2229
• Languages: English
• ISSNs: 0894-3370

Abstract

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 equations several times. Moreover, wave propagation problems in the high‐frequency regime are challenging because a sufficiently high number of unknowns are required to accurately represent the solution. 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.