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Comparison of fast boundary element methods on parametric surfaces

Harbrecht, Helmut and Peters, Michael. (2013) Comparison of fast boundary element methods on parametric surfaces. Computer methods in applied mechanics and engineering, Vol. 261-262. pp. 39-55.

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Official URL: http://edoc.unibas.ch/dok/A6135413

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Abstract

We compare fast black-box boundary element methods on parametric surfaces in R3. These are the adaptive cross approximation, the multipole method based on interpolation, and the wavelet Galerkin scheme. The surface representation by a piecewise smooth parameterization is in contrast to the common approximation of surfaces by panels. Nonetheless, parametric surface representations are easily accessible from Computer Aided Design (CAD) and are recently topic of the studies in isogeometric analysis. Especially, we can apply two-dimensional interpolation in the multipole method. A main feature of this approach is that the cluster bases and the respective moment matrices are independent of the geometry. This results in a superior compression of the far field compared to other cluster methods.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Computational Mathematics (Harbrecht)
UniBasel Contributors:Harbrecht, Helmut and Peters, Michael
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Publisher:Elsevier
ISSN:0045-7825
Note:Publication type according to Uni Basel Research Database: Journal article
Last Modified:21 Jun 2013 12:29
Deposited On:21 Jun 2013 12:28

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