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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. Preprints Fachbereich Mathematik, 2013 (01).

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Abstract

We compare fast black-box boundary element methods on parametric surfaces in $\mathbb{R}^3$. 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)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Harbrecht, Helmut and Peters, Michael
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:13 May 2019 05:33
Deposited On:28 Mar 2019 09:52

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