Convergence analysis of non-conforming Trigonometric Finite Wave Elements
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摘要
Trigonometric Finite Wave Elements (TFWE) are finite elements for solving problems in computational optics. The solution of those problems consist of highly oscillatory waves. TFWE are designed for obtaining optimal approximation properties for such kinds of waves with a changing wave number k. In this article, we study the convergence properties of 2-dimensional non-conforming TFWE by applying Strang’s Lemma.
论文关键词：Wave equation,Helmholtz’s equation,Computational optics,High wave number,Distributed feedback laser,Optical waveguide structure,Non-conforming finite elements,Strang’s lemma,Trigonometric Finite Wave Elements
论文评审过程：Received 14 December 2007, Revised 1 July 2008, Available online 13 August 2009.
论文官网地址：https://doi.org/10.1016/j.cam.2009.08.042
