Distributed Solution of Laplacian Eigenvalue Problems
DOI10.1137/20M1342653zbMath1500.65094arXiv2006.10427OpenAlexW4205227158MaRDI QIDQ5023825
Antti Ojalammi, Antti Hannukainen, Jarmo Malinen
Publication date: 25 January 2022
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.10427
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical algorithms for specific classes of architectures (65Y10)
Uses Software
Cites Work
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- La méthode de Rayleigh Ritz appliquee à des opérateurs différentiels elliptiques - ordre de convergence des éléments propres
- Regularity of the solutions of elliptic systems in polyhedral domains
- The partition of unity finite element method: basic theory and applications
- Finite element approximation of eigenvalue problems
- Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
- Randomized Local Model Order Reduction
- Beyond Automated Multilevel Substructuring: Domain Decomposition with Rational Filtering
- An Implementation and Evaluation of the AMLS Method for Sparse Eigenvalue Problems
- Finite Element-Galerkin Approximation of the Eigenvalues and Eigenvectors of Selfadjoint Problems
- Component mode synthesis and eigenvalues of second order operators : discretization and algorithm
- On the Lebesgue Function for Polynomial Interpolation
- A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
- An Automated Multilevel Substructuring Method for Eigenspace Computation in Linear Elastodynamics
- Efficient Solution of Symmetric Eigenvalue Problems from Families of Coupled Systems
- A comparison of eigensolvers for large-scale 3D modal analysis using AMG-preconditioned iterative methods
- Computation of Smallest Eigenvalues using Spectral Schur Complements
- New A Priori FEM Error Estimates for Eigenvalues
- Coupling of substructures for dynamic analyses.
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