ERROR CONTROL OF THE VECTORIAL NONDIRECTIVE STABLE PLANE WAVE MULTILEVEL FAST MULTIPOLE ALGORITHM | Zendy

Ignace Bogaert | Zendy; Joris Peeters | Zendy; D. De Zutter | Zendy

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ERROR CONTROL OF THE VECTORIAL NONDIRECTIVE STABLE PLANE WAVE MULTILEVEL FAST MULTIPOLE ALGORITHM

Author(s) -

Ignace Bogaert,

Joris Peeters,

D. De Zutter

Publication year - 2011

Publication title -

electromagnetic waves

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.437

H-Index - 89

eISSN - 1559-8985

pISSN - 1070-4698

DOI - 10.2528/pier10090604

Subject(s) - multipole expansion , algorithm , plane wave , plane (geometry) , computer science , stability (learning theory) , mathematics , physics , geometry , optics , machine learning , quantum mechanics

Novel formulas are presented that allow the rapid estimation of the number of terms L that needs to be taken into account in the translation operator of the vectorial Nondirective Stable Plane Wave Multilevel Fast Multipole Algorithm (NSPWMLFMA). This is especially important for low frequencies, since the L needed for error-controllability can be substantially higher than the L required in the scalar case. Although these formulas were originally derived for use in the NSPWMLFMA, they are equally useful in at least three other fast matrix multiplication methods

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