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Parallel preconditioners and high order elements for microwave imaging

Bonazzoli, M. and Dolean, V. and Rapetti, F. and Tournier, P. -H. (2017) Parallel preconditioners and high order elements for microwave imaging. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields.

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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.