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

Dölz, Jürgen and Harbrecht, Helmut and Kurz, Stefan and Schöps, Sebastian and Wolf, Felix. (2017) A Fast Isogeometric BEM for the Three Dimensional Laplace- and Helmholtz Problems. Preprints Fachbereich Mathematik, 2017 (11).

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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-splines-based ansatz functions.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Computational Mathematics (Harbrecht)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Dölz, Jürgen and Harbrecht, Helmut
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:17 Apr 2019 20:56
Deposited On:28 Mar 2019 09:51

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