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Trefftz Absorbing Boundary Conditions in Analytical, Discontinuous Galerkin and Finite Difference Form
Electromagnetics in Advanced Applications (ICEAA), 2014 International Conference on
  • Fritz Kretzschmar
  • Farzad Ahmadi, University of Akron Main Campus
  • Nabil Nowak, University of Akron Main Campus
  • Sascha M. Schnepp
  • Igor Tsukerman, University of Akron Main Campus
  • Herbert Egger
  • Thomas Weiland
Document Type
Conference Proceeding
Publication Date
8-3-2014
Abstract
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.
Citation Information
Fritz Kretzschmar, Farzad Ahmadi, Nabil Nowak, Sascha M. Schnepp, et al.. "Trefftz Absorbing Boundary Conditions in Analytical, Discontinuous Galerkin and Finite Difference Form" Electromagnetics in Advanced Applications (ICEAA), 2014 International Conference on (2014) p. 176 - 177
Available at: http://works.bepress.com/igor_tsukerman/1/