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Approximation properties of trigonometric finite wave elements
Author(s) -
Heubeck B.,
Pflaum C.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700184
Subject(s) - trigonometry , helmholtz equation , bilinear interpolation , helmholtz resonator , laser , finite element method , mathematics , mathematical analysis , resonator , helmholtz free energy , trigonometric functions , wave equation , physics , optics , quantum mechanics , geometry , thermodynamics , statistics , boundary value problem
Abstract In this paper we analyze the approximation properties of Trigonometric Finite Wave Elements (TFWE). These Finite Elements were developed for solving Helmholtz equation and Schrödinger equation with respect to special applications, e.g. for simulating resonators with internal reflections occurring in Distributed Feedback (DFB) lasers and other laser types. We emphasize the advantages of the TFWE in comparison to standard bilinear Finite Elements (FE). (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)