Exact interpolation scheme with approximation vector used as a column of the prolongator

DOI10.1002/nla.1975zbMath1374.65203OpenAlexW2153957641MaRDI QIDQ5739735

Petr Vaněk, Roman Kužel

Publication date: 19 July 2016

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.1975

zbMATH Keywords

convergencenumerical resultsgeneralized eigenvalue problemmultilevel methodinverse iterationexact interpolation schemeevolving coarse spacemultigrid for non-linear problemsprolongator

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical interpolation (65D05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Preconditioners for iterative methods (65F08)

Related Items (2)

Preconditioning of iterative methods ‐ theory and applications ⋮ Convergence theory of exact interpolation scheme for computing several eigenvectors

Cites Work

• Unnamed Item
• Nearly optimal convergence result for multigrid with aggressive coarsening and polynomial smoothing.
• A multilevel variational method for \(Au=\lambda Bu\) on composite grids
• A local convergence proof for the iterative aggregation method
• Algebraic multigrid theory: The symmetric case
• Adaptive Smoothed Aggregation ($\alpha$SA)

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