caa a22 4500 37888560X CHVBK 20180305123442.0 cr unu---uuuuu 161128e20040401xx s 000 0 eng 10.1515/1569395041172935 doi (NATIONALLICENCE)gruyter-10.1515/1569395041172935 Stolper M. Fachrichtung 6.1 - Mathematik, Universität des Saarlandes, Postfach 151150, 66041 Saarbrücken,Germany Computing and compression of the boundary element matrices for the Helmholtz equation [Elektronische Daten] [M. Stolper] The boundary integral formulation for the Dirichlet boundary value problem is considered and the collocation boundary element method for the discretisation of the problem is used. In order to compute the entries of the matrices for several wave numbers, the inverse Fourier transform with respect to the wave number is applied to them. The analytical forms and some important properties of the transformed matrices are deduced. After applying the Fourier transform, new matrices depending on the wave number are obtained and the associated linear systems are treated. Further, the adaptive cross approximation (ACA) algorithm is applied to the matrices solving efficiently the linear systems. Finally, some numerical examples for the solution are presented. Copyright 2004, Walter de Gruyter Dirichlet problem nationallicence Helmholtz equation nationallicence layer potential nationallicence Fourier transform nationallicence collocation nationallicence low-rank approximation nationallicence Journal of Numerical Mathematics Walter de Gruyter 12/1(2004-04-01), 55-75 1570-2820 12:1<55 2004 12 jnma https://doi.org/10.1515/1569395041172935 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569395041172935 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Stolper M. Fachrichtung 6.1 - Mathematik, Universität des Saarlandes, Postfach 151150, 66041 Saarbrücken,Germany NATIONALLICENCE 773 0- Journal of Numerical Mathematics Walter de Gruyter 12/1(2004-04-01), 55-75 1570-2820 12:1<55 2004 12 jnma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter