The adaptive immersed interface finite element method for elliptic and Maxwell interface problems
Journal of Computational Physics
Convergence analysis of an adaptive edge element method for Maxwell's equations
Applied Numerical Mathematics
An adaptive inverse iteration for Maxwell eigenvalue problem based on edge elements
Journal of Computational Physics
3-D magnetotelluric adaptive finite-element modeling
ISICA'10 Proceedings of the 5th international conference on Advances in computation and intelligence
Multiscale Asymptotic Method for Maxwell's Equations in Composite Materials
SIAM Journal on Numerical Analysis
An Adaptive Finite Element Method for the Eddy Current Model with Circuit/Field Couplings
SIAM Journal on Scientific Computing
Multiscale Computations for 3D Time-Dependent Maxwell's Equations in Composite Materials
SIAM Journal on Scientific Computing
Robust Approximate Cholesky Factorization of Rank-Structured Symmetric Positive Definite Matrices
SIAM Journal on Matrix Analysis and Applications
An adaptive edge finite element method for electromagnetic cloaking simulation
Journal of Computational Physics
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We develop an adaptive edge finite element method based on reliable and efficient residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell equations with singularities. The resulting discrete problem is solved by the multigrid preconditioned MINRES (minimum residual) iteration algorithm. We demonstrate the efficiency and robustness of the proposed method by extensive numerical experiments for cavity problems with singular solutions which include, in particular, scattering over screens.