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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 66
Edited by: B.H.V. Topping
Paper III.1

Trefftz Boundary Element Formulation for Sound Vibration

J. Sladek+, V. Sladek+ and R. Van Keer#

+Institute of Construction and Architecture, Slovak Academy of Sciences, Bratislava, Slovakia
#Department of Mathematical Analysis, Ghent University, Ghent, Belgium

Full Bibliographic Reference for this paper
J. Sladek, V. Sladek, R. Van Keer, "Trefftz Boundary Element Formulation for Sound Vibration", in B.H.V. Topping, (Editor), "Computational Mechanics: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 31-37, 2000. doi:10.4203/ccp.66.3.1
The sound-pressure field harmonically varying in time is governed by the Helmholtz equation. The Trefftz boundary integral equation method is presented to solve 2-d boundary value problems. Both direct and indirect BIE formulations are given. Nonsingular Trefftz formulations lead to regular integrals counterpart to the conventional BIE with the singular fundamental solution. The paper presents also the local boundary integral equations with Trefftz functions as a test function. Physical fields are approximated by the moving least-square in the meshless implementation. Numerical results are given for a square patch test and a circular disc.

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