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)
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 |
| Verwandte URLs: | |
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