Title: An explicit Wave Based model as alternative to the DtN map for solving unbounded Helmholtz problems with the Finite Element method
Authors: Bergen, Bart ×
Van Genechten, Bert
Vandepitte, Dirk
Desmet, Wim #
Issue Date: 2010
Publisher: North-Holland Pub. Co.
Series Title: Computer Methods in Applied Mechanics and Engineering issue:submitted
Abstract: When using a domain-based method for solving problems in unbounded domains, the computational domain has to be truncated to a bounded region. On the truncation, suitable conditions must be imposed to make the solution of the truncated problem equivalent to the solution of the unbounded problem. This paper proposes to derive these conditions based on an explicit model of the unbounded domain exterior to the truncation. The Wave Based Method (WBM), a novel technique for solving Helmholtz problems, is used to construct this unbounded model. The obtained method is compared to the DtN FE method, where it is shown that the obtained accuracy is equivalent, but the proposed hybrid FE-WB framework allows for a more efficient construction and solution of the model.
ISSN: 0045-7825
Publication status: submitted
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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