Solving approximate cloaking problems using finite element methods

Authors

  • Quoc Thong Le Gia School of Mathematics and Statistics University of New South Wales, Sydney.
  • Heiko Gimperlein Maxwell Institute for Mathematical Sciences and Department of Mathematics, Heriot-Watt University, Edinburgh, UK.
  • Matthias Maischak Department of Mathematics, Brunel University London, UK.
  • Ernst P Stephan Institut fur Angewandte Mathematik, Leibniz, University Hannover.

DOI:

https://doi.org/10.21914/anziamj.v58i0.11729

Keywords:

cloaking problem, finite element method

Abstract

Motivated by the approximate cloaking problem, we consider a variable coefficient Helmholtz equation with a fixed wave number. We use finite element methods to discretize the equation. Numerical results are shown to exhibit cloaking behaviour. References
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Published

2017-12-04

Issue

Vol. 58 (2016)

Section

Proceedings Computational Techniques and Applications Conference