@Article{JCM-25-169,
author = {Jianhua Yuan},
title = {An Adaptive Inverse Iteration FEM for the Inhomogeneous Dielectric Waveguides},
journal = {Journal of Computational Mathematics},
year = {2007},
volume = {25},
number = {2},
pages = {169--184},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8683.html}
}