High order boundary integral methods forMaxwell's equations using Microlocal Discretization and Fast Multipole Methods
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Proceedings in applied mathematics and mechanics, Proceedings in applied mathematics and mechanics, Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, 2007-07-16, Zürich. 2007, vol. 7, n° 1, p. 1022705 - 1022706
Resumen en inglés
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 ...Leer más >
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.< Leer menos
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