A Higdon-like non-reflecting boundary condition for the Klein-Gordon equation with evanescent waves

作者：Dea John R^*

来源：Wave Motion, 2014, 51(2): 256-265.

DOI：10.1016/j.wavemoti.2013.08.002

• Absorbing boundary conditions
• Wave propagation
• Evanescent waves
• Klein-Gordon equation
• Open domains
• Finite differences

The non-reflecting boundary condition developed by Higdon and automated by Givoli and Neta is highly effective at absorbing propagating waves in a finite differenCe setting, but it does not absorb evanescent waves. In this paper, we augment the Higdon scheme with additional terms to absorb these evanescent waves in the context of the two-dimensional Klein-Gordon equation. Numerical examples illustrate the performance of this technique. Published by Elsevier B.V.

• 出版日期2014-3
• 单位中国人民解放军空军电子技术研究所