High Order Boundary Integral Methods for Maxwell’s Equations: Coupling of Microlocal Discretization and Fast Multipole Methods

L. Gatard (), A. Bachelot and K. Mer-Nkonga
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L. Gatard: MAB
A. Bachelot: MAB
K. Mer-Nkonga: CEA-CESTA

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 1137-1145 from Springer

Abstract: Abstract An efficient method to solve time harmonic Maxwell’s equations in exterior domain for high frequencies is obtained by using the integral formulation of Després combined with a coupling method based on the Microlocal Discretization method (MD) and the Multi-Level Fast Multipole Method (MLFMM) [1]. In this paper, we consider curved finite elements of higher order in the MLFMM and in the MD/MLFMM methods. Moreover, we give some improvements of the MD/FMM method.

Keywords: Radar Cross Section; Quadrature Point; Fast Multipole Method; Gaussian Quadrature Point; Singular Interaction (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_114

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DOI: 10.1007/978-3-540-34288-5_114

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