Convergence analysis of non-conforming Trigonometric Finite Wave Elements
โ Scribed by B. Heubeck; C. Pflaum
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 388 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
โฆ Synopsis
lemma Trigonometric Finite Wave Elements a b s t r a c t 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.
๐ SIMILAR VOLUMES
Based on the re"ned non-conforming element method, simple #at triangular elements with standard nodal displacement parameters are proposed for the analysis of shell structures. For ensuring the convergence of the elements a new coupled continuity condition at the inter-element has been established i