Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non‐conforming FEM systems

DOI10.1002/nla.350zbMath1164.65392OpenAlexW2063727723MaRDI QIDQ5492625

Svetozar Margenov, Maya G. Neytcheva, Radim Blaheta

Publication date: 16 October 2006

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

Full work available at URL: https://doi.org/10.1002/nla.350

zbMATH Keywords

finite elementelliptic boundary value problemmultilevel preconditionerCrouzeix-Raviart elementhierarchical basisnon-conforming FEMCauchy-Bunyakowski-Schwarz (CBS) constant

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

Numerical approximation of the spectrum of self-adjoint operators in operator preconditioning ⋮ Robust AMLI methods for parabolic Crouzeix-Raviart FEM systems ⋮ CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems ⋮ Multilevel preconditioning of rotated bilinear non-conforming FEM problems ⋮ Simplicial finite elements in higher dimensions. ⋮ Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems ⋮ On a MIC(0) preconditioning of non-conforming mixed FEM elliptic problems ⋮ Hierarchical preconditioning for the stochastic Galerkin method: upper bounds to the strengthened CBS constants ⋮ Application of Hierarchical Decomposition: Preconditioners and Error Estimates for Conforming and Nonconforming FEM ⋮ Multilevel Preconditioning of Rotated Trilinear Non-conforming Finite Element Problems ⋮ The Effect of a Minimum Angle Condition on the Preconditioning of the Pivot Block Arising from 2-Level-Splittings of Crouzeix-Raviart FE-Spaces ⋮ Analysis of the CBS Constant for Quadratic Finite Elements

This page was built for publication: Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non‐conforming FEM systems