An adaptive inverse iteration for Maxwell eigenvalue problem based on edge elements

DOI10.1016/j.jcp.2009.12.013zbMath1184.78022OpenAlexW2076242982MaRDI QIDQ2269855

Jun Zou, Junqing Chen, Yifeng Xu

Publication date: 11 March 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.12.013

zbMATH Keywords

edge elementsa posterior error estimatesMaxwell eigenvalue problemadaptive inverse iteration

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Antennas, waveguides in optics and electromagnetic theory (78A50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Waves and radiation in optics and electromagnetic theory (78A40) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (10)

A Two-Level Preconditioned Helmholtz Subspace Iterative Method for Maxwell Eigenvalue Problems ⋮ Multigrid preconditioners for mixed finite element methods of the vector Laplacian ⋮ The Shifted-Inverse Iteration Based on the Multigrid Discretizations for Eigenvalue Problems ⋮ A posteriori error analysis for the conical diffraction problem ⋮ A multigrid discretization scheme based on the shifted inverse iteration for the Steklov eigenvalue problem in inverse scattering ⋮ The two-grid discretization of Ciarlet-Raviart mixed method for biharmonic eigenvalue problems ⋮ An adaptive inverse iteration for Maxwell eigenvalue problem based on edge elements ⋮ Shifted inverse iteration based multigrid methods for the quad-curl eigenvalue problem ⋮ The preconditioned iterative methods with variable parameters for saddle point problem ⋮ A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem

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