Computation of exterior acoustics problems in two dimensions by Trefftz-type finite elements / Stojek Małgorzata // W: Computational Methods in Applied Sciences [Dokument elektroniczny] / ed. by A. Szczotok ... więcej

Computation of exterior acoustics problems in two dimensions by Trefftz-type finite elements / Stojek Małgorzata // W: Computational Methods in Applied Sciences [Dokument elektroniczny] / ed. by A. Szczotok [et al.]. – Durnten-Zurich : Trans Tech Publications Ltd, 2015. – (Applied Mechanics and Materials, ISSN 1662-7482 ; 712). – S. 17-22 : rys., wykr. – Bibliogr. 7 poz. – Mat. konf.: CMAS 2014 : International Conference on Computational Methods in Applied Sciences, Kraków, Poland, 17-18.12.2014. – doi: 10.4028/www.scientific.net/AMM.712.17. – ISBN 978-3-03826-763-8 (ebook). – ISBN 978-3-03835-378-2 (print)

The paper deals with the application of the so-called T-type finite elements [1] to the calculation of the exterior acoustic problems in two dimensions. The method is based on the use of a suitably truncated ... więcej

The paper deals with the application of the so-called T-type finite elements [1] to the calculation of the exterior acoustic problems in two dimensions. The method is based on the use of a suitably truncated T-complete set of Trefftz functions over individual subdomains linked by means of a least square procedure. The vertex singularities and the Sommerfeld radiation condition are readily incorporated in the trial functions. In order to show the performance of the approach two examples of computations for infinite cylinders (of circular and square cross section) are presented and compared with those obtained by means of h-adaptive FE method [2].