An application of a boundary element method to the solution of static field problems in closed domains is presented in this paper. The fully populated system matrix of the boundary element method is compressed with the fast multipole method. Two approaches of modified transformation techniques are compared and discussed in the context of boundary element methods to further reduce the computational costs of the fast multipole method. The efficiency of the fast multipole method with modified transformations is shown in two numerical examples.
%0 Journal Article
%1 andre2004efficient
%A Buchau, André
%A Hafla, Wolfgang
%A Rucker, Wolfgang M.
%B COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
%D 2004
%I Emerald Group Publishing Limited
%K BEM FMM myown
%N 4
%P 859--865
%R 10.1108/03321640410553283
%T Fast and efficient 3D boundary element method for closed domains
%U https://doi.org/10.1108/03321640410553283
%V 23
%X An application of a boundary element method to the solution of static field problems in closed domains is presented in this paper. The fully populated system matrix of the boundary element method is compressed with the fast multipole method. Two approaches of modified transformation techniques are compared and discussed in the context of boundary element methods to further reduce the computational costs of the fast multipole method. The efficiency of the fast multipole method with modified transformations is shown in two numerical examples.
@article{andre2004efficient,
abstract = {An application of a boundary element method to the solution of static field problems in closed domains is presented in this paper. The fully populated system matrix of the boundary element method is compressed with the fast multipole method. Two approaches of modified transformation techniques are compared and discussed in the context of boundary element methods to further reduce the computational costs of the fast multipole method. The efficiency of the fast multipole method with modified transformations is shown in two numerical examples.},
added-at = {2020-10-19T14:47:59.000+0200},
author = {Buchau, André and Hafla, Wolfgang and Rucker, Wolfgang M.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2bcae33649e674e27a3927523eb0e45a5/wmrucker17},
booktitle = {COMPEL - The international journal for computation and mathematics in electrical and electronic engineering},
doi = {10.1108/03321640410553283},
interhash = {1b23ef19c31c520b6baf251db1b8f980},
intrahash = {bcae33649e674e27a3927523eb0e45a5},
issn = {03321649},
keywords = {BEM FMM myown},
month = jan,
number = 4,
pages = {859--865},
publisher = {Emerald Group Publishing Limited},
timestamp = {2020-10-19T12:47:59.000+0200},
title = {Fast and efficient 3D boundary element method for closed domains},
url = {https://doi.org/10.1108/03321640410553283},
volume = 23,
year = 2004
}