A multilevel variational method for \(Au=\lambda Bu\) on composite grids

DOI10.1016/0021-9991(89)90109-5zbMath0674.65013OpenAlexW2003189034MaRDI QIDQ1121635

Jan Mandel, Stephen F. McCormick

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90109-5

zbMATH Keywords

algorithmnumerical examplesmultigrid methodrelaxation methodcomparisonsRayleigh quotientsdifferential eigenproblem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Estimates of eigenvalues in context of PDEs (35P15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (10)

A block Chebyshev-Davidson method with inner-outer restart for large eigenvalue problems ⋮ An iterative asymptotic expansion method for elliptic eigenvalue problems with oscillating coefficients ⋮ Three-scale finite element eigenvalue discretizations ⋮ The method of subspace corrections ⋮ Exact interpolation scheme with approximation vector used as a column of the prolongator ⋮ An integrated Davidson and multigrid solution approach for very large scale symmetric eigenvalue problems ⋮ Two-Grid and Multiple-Grid Arnoldi for Eigenvalues ⋮ A multiresolution strategy for reduction of elliptic PDEs and eigenvalue problems ⋮ Increasing efficiency of inverse iteration ⋮ Conjugate gradient methods for the Rayleigh quotient minimization of generalized eigenvalue problems

Cites Work

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• Multigrid Methods for Differential Eigenproblems
• Unigrid for Multigrid Simulation
• The Fast Adaptive Composite Grid (FAC) Method for Elliptic Equations
• Multigrid Methods for Variational Problems: General Theory for the V-Cycle
• A Mesh Refinement Method for Ax = λBx
• Analysis of a Multilevel Inverse Iteration Procedure for Eigenvalue Problems
• On the Computation of Approximate Eigenvalues and Eigenfunctions of Elliptic Operators by Means of a Multi-Grid Method
• The solution of natural frequency equations by relaxation methods

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