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High order boundary integral methods forMaxwell's equations using Microlocal Discretization and Fast Multipole Methods
Author(s) -
Darrigrand E.,
Gatard L.,
MerNkonga K.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700332
Subject(s) - discretization , mathematics , multipole expansion , fast multipole method , integral equation , mathematical analysis , matrix (chemical analysis) , microlocal analysis , coupling (piping) , boundary (topology) , physics , fourier integral operator , quantum mechanics , mechanical engineering , materials science , engineering , composite material
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 (MLFMD) 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 MLFMD method. Moreover, we improve the MLFMD method by sparsifying the translation matrix of the MLFMM, which involves privileged directions in that application. This improvement leads to a significant reduction of the algorithm complexity. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)