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A Fast Isogeometric BEM for the Three Dimensional Laplace- and Helmholtz Problems

Dölz, Jürgen ; Harbrecht, Helmut ; Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix :
A Fast Isogeometric BEM for the Three Dimensional Laplace- and Helmholtz Problems.
[Online-Edition: https://doi.org/10.1016/j.cma.2017.10.020]
In: Computer Methods in Applied Mechanics and Engineering, 330 pp. 83-101. ISSN 0045-7825
[Artikel], (2018)

Offizielle URL: https://doi.org/10.1016/j.cma.2017.10.020

Kurzbeschreibung (Abstract)

We present an indirect higher order boundary element method utilising NURBS mappings for exact geometry representation and an interpolation-based fast multipole method for compression and reduction of computational complexity, to counteract the problems arising due to the dense matrices produced by boundary element methods. By solving Laplace and Helmholtz problems via a single layer approach we show, through a series of numerical examples suitable for easy comparison with other numerical schemes, that one can indeed achieve extremely high rates of convergence of the pointwise potential through the utilisation of higher order B-spline-based ansatz functions.

Typ des Eintrags: Artikel
Erschienen: 2018
Autor(en): Dölz, Jürgen ; Harbrecht, Helmut ; Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix
Titel: A Fast Isogeometric BEM for the Three Dimensional Laplace- and Helmholtz Problems
Sprache: Englisch
Kurzbeschreibung (Abstract):

We present an indirect higher order boundary element method utilising NURBS mappings for exact geometry representation and an interpolation-based fast multipole method for compression and reduction of computational complexity, to counteract the problems arising due to the dense matrices produced by boundary element methods. By solving Laplace and Helmholtz problems via a single layer approach we show, through a series of numerical examples suitable for easy comparison with other numerical schemes, that one can indeed achieve extremely high rates of convergence of the pointwise potential through the utilisation of higher order B-spline-based ansatz functions.

Titel der Zeitschrift, Zeitung oder Schriftenreihe: Computer Methods in Applied Mechanics and Engineering
Band: 330
Verlag: Elsevier
Fachbereich(e)/-gebiet(e): 18 Fachbereich Elektrotechnik und Informationstechnik
18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Theorie Elektromagnetischer Felder
18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Theorie Elektromagnetischer Felder > Computational Engineering
Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE)
Exzellenzinitiative > Graduiertenschulen
Exzellenzinitiative
Hinterlegungsdatum: 20 Nov 2017 06:21
Offizielle URL: https://doi.org/10.1016/j.cma.2017.10.020
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