期刊
出版社
WILEY
DOI: 10.1002/jnm.2229
关键词
edge elements; high-order finite elements; microwave imaging; Schwarz preconditioners; time-harmonic Maxwell equations
资金
- National Research Agency (ANR), project MEDIMAX [ANR-13-MONU-0012]
- Agence Nationale de la Recherche (ANR) [ANR-13-MONU-0012] Funding Source: Agence Nationale de la Recherche (ANR)
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.
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