The Effect of a Minimum Angle Condition on the Preconditioning of the Pivot Block Arising from 2-Level-Splittings of Crouzeix-Raviart FE-Spaces

DOI10.1007/978-3-540-78827-0_10zbMath1229.65201OpenAlexW1532382227MaRDI QIDQ3616809

J. Synka

Publication date: 26 March 2009

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-78827-0_10

zbMATH Keywords

anisotropynonconforming elementsmultilevel preconditioningCBS constanthierarchical splittingsdifferences and aggregatesfirst reduce

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

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• Algebraic multilevel preconditioning methods. I
• Algebraic Multilevel Preconditioning Methods, II
• On the multilevel preconditioning of Crouzeix–Raviart elliptic problems
• Generalized Aggregation-Based Multilevel Preconditioning of Crouzeix-Raviart FEM Elliptic Problems
• Robust optimal multilevel preconditioners for non‐conforming finite element systems
• Iterative Solution Methods
• Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non‐conforming FEM systems