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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

doi:10.4203/ccp.66.3.1

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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

Abstract

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 66 COMPUTATIONAL MECHANICS: TECHNIQUES AND DEVELOPMENTS 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 doi:10.4203/ccp.66.3.1 purchase the full-text of this paper 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 Abstract 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £76 +P&P)
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