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Efficient Infinite Elements based on Jacobi Polynomials

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Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods

Abstract

In this contribution an optimized version of the so–called mapped wave envelope elements, also known as Astley–Leis elements, is presented and its practical usability is assessed. The elements are based on Jacobi polynomials in the direction of radiation, which leads to a low conditioning of the resulting system matrices and to a superior performance in conjunction with iterative solvers. This is shown for practically relevant simulations in the frequency as well as in the time domain.

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Author information

Authors and Affiliations

  1. Institute of Modelling and Computation, Hamburg University of Technology, Denickestraße 17, 21073, Hamburg, Germany

    Otto von Estorff

  2. Department of Mechanical Engineering, Stanford University, 488 Escondido Mall, 94305, Stanford, CA, USA

    Steffen Petersen

  3. Hanse Wohnbau GmbH, Birkenweg 15, 22850, Norderstedt, Germany

    Daniel Dreyer

Authors
  1. Otto von Estorff
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  2. Steffen Petersen
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  3. Daniel Dreyer
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Editor information

Editors and Affiliations

  1. Institut für Festkörpermechanik, Technische Universität Dresden, Helmholtzstraße 10, 01062, Dresden, Germany

    Steffen Marburg

  2. Forschungsanstalt der Bundeswehr für Wasserschall und Geophysik, Klausdorfer Weg 2–24, 24148 , Kiel, Germany

    Bodo Nolte

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von Estorff, O., Petersen, S., Dreyer, D. (2008). Efficient Infinite Elements based on Jacobi Polynomials. In: Marburg, S., Nolte, B. (eds) Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77448-8_9

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