Sum factorization of the static condensed Helmholtz equation in a three‐dimensional spectral element discretization | Zendy

Huismann Immo | Zendy; Haupt Lars | Zendy; Stiller Jörg | Zendy; Fröhlich Jochen | Zendy

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Sum factorization of the static condensed Helmholtz equation in a three‐dimensional spectral element discretization

Author(s) -

Huismann Immo,

Haupt Lars,

Stiller Jörg,

Fröhlich Jochen

Publication year - 2014

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201410465

Subject(s) - discretization , factorization , helmholtz equation , helmholtz free energy , element (criminal law) , degrees of freedom (physics and chemistry) , operator (biology) , mathematics , cartesian coordinate system , mathematical analysis , physics , algorithm , quantum mechanics , geometry , chemistry , political science , law , boundary value problem , biochemistry , repressor , transcription factor , gene

We propose a factorization technique for the Helmholtz operator of a static condensed, three‐dimensional, cartesian spectral‐element discretization, that yields linear complexity in the number of degrees of freedom. We then compare its performance to a reference implementation of the conventional, unfactorized approach. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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