| AN ADAPTIVE INVERSE ITERATION FEM FOR THE INHOMOGENEOUS DIELECTRIC WAVEGUIDES |
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| 作者姓名： | Jianhua Yuan |
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| 作者单位： | School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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| 基金项目： | Acknowledgments. I express my gratitude to Professor Zhiming Chen for his carefully reading of this paper and for his valuable comments and suggestions. I also thank the referees for their constructive comments and suggestions. |
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| 摘 要： |
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| 关 键 词： | 逆迭代算法 非均匀介质波导 特征值 自适应有限元法 |
| 修稿时间： | 2005-11-092006-06-29 |
AN ADAPTIVE INVERSE ITERATION FEM FOR THE INHOMOGENEOUS DIELECTRIC WAVEGUIDES |
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| Jianhua Yuan.AN ADAPTIVE INVERSE ITERATION FEM FOR THE INHOMOGENEOUS DIELECTRIC WAVEGUIDES[J].Journal of Computational Mathematics,2007,25(2):169-184. |
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| Abstract: | We introduce an adaptive finite element method for computing electromagnetic guided waves in a closed, inhomogeneous, pillared three-dimensional waveguide at a given frequency based on the inverse iteration method. The problem is formulated as a generalized eigenvalue problems. By modifying the exact inverse iteration algorithm for the eigenvalue problem, we design a new adaptive inverse iteration finite element algorithm. Adaptive finite element methods based on a posteriori error estimate are known to be successful in resolving singularities of eigenfunctions which deteriorate the finite element convergence. We construct a posteriori error estimator for the electromagnetic guided waves problem. Numerical results are reported to illustrate the quasi-optimal performance of our adaptive inverse iteration finite element method. |
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| Keywords: | Waveguides Eigenvalue Problem Inverse Iteration Algorithm Adaptive FiniteElement Method |
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