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I. Harari*, P.E. Barbone+, P. Barai*, M. Slavutin* and S. Shmulman*

*Department of Solid Mechanics, Materials and Structures, Tel Aviv University, Ramat Aviv, Israel
+Department of Aerospace and Mechanical Engineering, Boston University, U.S.A.

doi:10.4203/ccp.57.8.2

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I. Harari, P.E. Barbone, P. Barai, M. Slavutin, S. Shmulman, "Trefftz Infinite Elements for Acoustic Computation in Unbounded Domains", in B.H.V. Topping, (Editor), "Developments in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 161-168, 1999. doi:10.4203/ccp.57.8.2

Abstract

The need for time-harmonic acoustic analysis in unbounded domains is frequent in engineering practice. Such problems are unacceptable for direct numerical computation. Therefore various techniques for representing an unbounded domain are developed. In this work an infinite element technique is developed based on an analytical solution inside the element and variational enforcement of continuity on element boundaries. Using this approach two-dimensional infinite elements are developed and their performance is tested on various problems. Spectral analysis of the finite element method is performed, and errors of finite element solutions are evaluated.

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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: 57 DEVELOPMENTS IN COMPUTATIONAL MECHANICS WITH HIGH PERFORMANCE COMPUTING Edited by: B.H.V. Topping Paper VIII.2 Trefftz Infinite Elements for Acoustic Computation in Unbounded Domains I. Harari, P.E. Barbone+, P. Barai, M. Slavutin* and S. Shmulman* *Department of Solid Mechanics, Materials and Structures, Tel Aviv University, Ramat Aviv, Israel +Department of Aerospace and Mechanical Engineering, Boston University, U.S.A. doi:10.4203/ccp.57.8.2 purchase the full-text of this paper Full Bibliographic Reference for this paper I. Harari, P.E. Barbone, P. Barai, M. Slavutin, S. Shmulman, "Trefftz Infinite Elements for Acoustic Computation in Unbounded Domains", in B.H.V. Topping, (Editor), "Developments in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 161-168, 1999. doi:10.4203/ccp.57.8.2 Abstract The need for time-harmonic acoustic analysis in unbounded domains is frequent in engineering practice. Such problems are unacceptable for direct numerical computation. Therefore various techniques for representing an unbounded domain are developed. In this work an infinite element technique is developed based on an analytical solution inside the element and variational enforcement of continuity on element boundaries. Using this approach two-dimensional infinite elements are developed and their performance is tested on various problems. Spectral analysis of the finite element method is performed, and errors of finite element solutions are evaluated. 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 £70 +P&P)
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