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New set of 3D orthogonal edge basis functions for the vector wave equation solution

✍ Scribed by Marcos S. Gonçalves; Hugo E. Hernandez-Figueroa; Aldário C. Bordonalli

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 183 KB
Volume: 49
Category: Article
ISSN: 0895-2477
DOI: 10.1002/mop.22690

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✦ Synopsis

Abstract

New three‐dimension orthogonal basis functions for finite element solution of the vectorial wave equation are presented. These functions, based on the Whitney's edge elements, maintain the same properties as those of conventional basis functions, naturally generating diagonal matrices and enhancing numerical performance. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 2224–2228, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22690

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## Abstract This article discusses on the solution of the regularized long wave (RLW) equation, which is introduced to describe the development of the undular bore, has been used for modeling in many branches of science and engineering. A numerical method is presented to solve the RLW equation. The