Multigrid discretization and iterative algorithm for mixed variational formulation of the eigenvalue problem of electric field
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Publication:1938133
DOI10.1155/2012/190768zbMath1256.78001OpenAlexW2123360648WikidataQ58695912 ScholiaQ58695912MaRDI QIDQ1938133
Publication date: 4 February 2013
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/190768
Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Related Items (3)
Highly efficient calculation schemes of finite-element filter approach for the eigenvalue problem of electric field ⋮ An adaptive nonconforming finite element algorithm for Laplace eigenvalue problem ⋮ A class of spectral element methods and its a priori/a posteriori error estimates for 2nd-order elliptic eigenvalue problems
Cites Work
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- A two-scale discretization scheme for mixed variational formulation of eigenvalue problems
- Convergence and optimal complexity of adaptive finite element eigenvalue computations
- Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems
- Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements
- Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism
- A coercive bilinear form for Maxwell's equations
- Augmented formulations for solving Maxwell equations
- Inf-sup condition for the 3-D \(P_2\)-iso-\(P_1\) Taylor-Hood finite element; application to Maxwell equations
- Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
- Multiscale discretization scheme based on the Rayleigh quotient iterative method for the Steklov eigenvalue problem
- Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates
- Computing electromagnetic eigenmodes with continuous Galerkin approximations
- Two-Grid Finite Element Discretization Schemes Based on Shifted-Inverse Power Method for Elliptic Eigenvalue Problems
- Eigenvalue Approximation by Mixed and Hybrid Methods
- Mixed and Hybrid Finite Element Methods
- Vector potentials in three-dimensional non-smooth domains
- Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation
- On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems
- Discontinuous Galerkin Approximation of the Maxwell Eigenproblem
- A posteriori error control for finite element approximations of elliptic eigenvalue problems
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