Multilevel preconditioned iterative eigensolvers for Maxwell eigenvalue problems
From MaRDI portal
Publication:557926
DOI10.1016/j.apnum.2004.09.026zbMath1127.65021OpenAlexW2055525383MaRDI QIDQ557926
Publication date: 30 June 2005
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2004.09.026
generalized eigenvalue problemHelmholtz equationMaxwell equationJacobi-DavidsonLOBPCGsmoothed aggregation AMG preconditioner
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)
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Uses Software
Cites Work
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- Finite element approximation of the Navier-Stokes equations
- Extreme eigenvalues of large sparse matrices by Rayleigh quotient and modified conjugate gradients
- Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism
- A new look at the Lanczos algorithm for solving symmetric systems of linear equations
- Simultaneous Rayleigh-quotient minimization methods for Ax=lambdaBx
- Efficient solution of symmetric eigenvalue problems using multigrid preconditioners in the locally optimal block conjugate gradient method
- A geometric theory for preconditioned inverse iteration. III: A short and sharp convergence estimate for generalized eigenvalue problems
- Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
- Software for simplified Lanczos and QMR algorithms
- Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method
- Numerical Linear Algebra for High-Performance Computers
- Jacobi--Davidson Style QR and QZ Algorithms for the Reduction of Matrix Pencils
- A Supernodal Approach to Sparse Partial Pivoting
- CONJUGATE GRADIENT METHODS FOR SOLVING THE SMALLEST EIGENPAIR OF LARGE SYMMETRIC EIGENVALUE PROBLEMS
- ARPACK Users' Guide
- An Improved Algebraic Multigrid Method for Solving Maxwell's Equations
- Templates for the Solution of Algebraic Eigenvalue Problems
- Multilevel Method for Mixed Eigenproblems
- A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
- An algebraic multigrid method for finite element discretizations with edge elements
