Calculation of eigenvalues of homogeneous problems of generalized eigenoscillation for the body of revolution using the finite element method

DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402) Pub Date : 1900-01-01 DOI:10.1109/DIPED.1999.822134

N. N. Voitovich, U.B. Dombrovska, J. Jarkowski

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Abstract

The generalized method of eigenoscillations generates the nonselfjoint homogeneous boundary value problems containing a spectral parameter in the boundary conditions. One of the ways for solving such problems is the variational technique. For the body of revolution such a technique is developed by Voitovich (1980) and described by Agranovich and Katsenelenbaum, Sivov, and Voitovich (see WILEY-VCH, Verlag, Berlin, 1999). Here the finite element method is used with a stationary functional of the method, which is applied to an investigation of resonators with impedance walls. The problem for the axially symmetrical harmonics of the closed resonator is considered and the main features of the method are described. The method is illustrated on a test problem for a resonator in the form of a finite circle cylinder with impedance side surfaces and metallic borders.

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用有限元法计算公转体广义本征振荡齐次问题的本征值

本征振荡的广义方法在边界条件下得到了包含谱参数的非自联合齐次边值问题。解决这类问题的方法之一是变分技术。对于革命体，这种技术由Voitovich(1980)开发，并由Agranovich、Katsenelenbaum、Sivov和Voitovich描述(参见WILEY-VCH, Verlag, Berlin, 1999)。本文将有限元法与该方法的平稳泛函相结合，应用于具有阻抗壁的谐振腔的研究。考虑了闭合谐振腔的轴对称谐波问题，描述了该方法的主要特点。以具有阻抗边面和金属边界的有限圆柱体谐振器为例说明了该方法的测试问题。

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DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402)

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