Jianhua Yuan
March 2007
Journal of Computational Mathematics;Mar2007, Vol. 25 Issue 2, p169
Academic Journal
We introduce an adaptive finite element method for computing electromagnetic guided waves in a closed, inhomogeneous, pillared three-dimensional wavegnide 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 axe 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 axe reported to illustrate the quasi-optimal performance of our adaptive inverse iteration finite element method. Mathematics subject classification: 65N30, 65N25, 78A50.


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