High order boundary integral methods for Maxwell’s equations using Mi- crolocal Discretization and Fast Multipole Methods

نویسندگان

  • E. Darrigrand
  • L. Gatard
چکیده

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.

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تاریخ انتشار 2008