Title: A Trefftz based method for solving Helmholtz problems in semi-infinite domains
Authors: Bergen, Bart ×
Pluymers, Bert
Van Genechten, Bert
Vandepitte, Dirk
Desmet, Wim #
Issue Date: Jan-2012
Publisher: Computational Mechanics Publications
Series Title: Engineering Analysis with Boundary Elements vol:36 issue:1 pages:30-38
Abstract: The wave based method (WBM), which is based on an indirect Trefftz approach, is a deterministic prediction
method posed as an alternative to the element-based methods. It uses wave functions, which are exact solutions of the underlying differential equation, to describe the dynamic field variables. This way, it can avoid the pollution errors associated with the polynomial element-based approximations. As a consequence, a dense element discretization is no longer required, yielding a smaller numerical system. The resulting enhanced computational efficiency of the WBM as compared to the element based methods has been proven for the analysis of both bounded and unbounded acoustic problems. This paper extends the applicability of the WBM to semi-infinite domains. An appropriate function set is proposed, together with a calculation procedure for both semi-infinite radiation and scattering problems, and transmission or diffraction problems containing a rigid baffle. The resulting technique is validated on two numerical examples.
ISSN: 0955-7997
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Production Engineering, Machine Design and Automation (PMA) Section
× corresponding author
# (joint) last author

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