Domain decomposition methods for eigenvalue problems

DOI10.1016/S0377-0427(99)00326-XzbMath0952.65085MaRDI QIDQ1567354

N. Delaunay

Publication date: 2 January 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceeigenvaluedomain decompositionnumerical experimentsSchwarz alternating methodfictitious domaindomain inbedding

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Estimates of eigenvalues in context of PDEs (35P15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (12)

Convergence Analysis of Newton–Schur Method for Symmetric Elliptic Eigenvalue Problem ⋮ A Two-Level Preconditioned Helmholtz Subspace Iterative Method for Maxwell Eigenvalue Problems ⋮ Beyond Automated Multilevel Substructuring: Domain Decomposition with Rational Filtering ⋮ Spectral Element Methods for Eigenvalue Problems Based on Domain Decomposition ⋮ A novel domain decomposition framework for the ground state solution of Bose-Einstein condensates ⋮ Overlapping Schwarz preconditioned eigensolvers for spectral element discretizations ⋮ A novel domain decomposition method for eigenvalue problems ⋮ A Two-Level Overlapping Hybrid Domain Decomposition Method for Eigenvalue Problems ⋮ On the convergence of a two-level preconditioned Jacobi–Davidson method for eigenvalue problems ⋮ Approximate eigensolution of Laplacian matrices for locally modified graph products ⋮ A spectral Newton-Schur algorithm for the solution of symmetric generalized eigenvalue problems ⋮ Nonlinearizing Two-parameter Eigenvalue Problems

Cites Work

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• Preconditioned Gradient-Type Iterative Methods in a Subspace for Partial Generalized Symmetric Eigenvalue Problems
• Eigenmodes of Isospectral Drums
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• The Direct Solution of the Discrete Poisson Equation on Irregular Regions
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