Trefftz absorbing boundary conditions in analytical, Discontinuous Galerkin and Finite difference form

We explore a novel avenue for generating absorbing boundary conditions for wave problems. The key part of our approach is Trefftz approximations of the solution, i.e. approximations by functions satisfying locally the underlying wave equation. Trefftz functions include outgoing waves only (and possi...

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Bibliographic Details
Main Authors: Kretzschmar, Fritz, Ahmadi, Farzad, Nowak, Nabil, Schnepp, Sascha M, Tsukerman, Igor, Egger, Herbert, Weiland, Thomas
Format: Conference Proceeding
Language:English
Subjects:
Accuracy
Approximation methods
Boundary conditions
Context
Frequency-domain analysis
Method of moments
Propagation
Online Access:Request full text
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Summary:We explore a novel avenue for generating absorbing boundary conditions for wave problems. The key part of our approach is Trefftz approximations of the solution, i.e. approximations by functions satisfying locally the underlying wave equation. Trefftz functions include outgoing waves only (and possibly evanescent waves), but no incoming waves. We show how this idea can be applied in three different contexts: analytical, Discontinuous Galerkin, and finite difference.
DOI:10.1109/ICEAA.2014.6903849