Strengthened Cauchy-Bunyakowski-Schwarz inequality for a three-dimensional elasticity system
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Publication:4814581
DOI<191::AID-NLA229>3.0.CO;2-7 10.1002/1099-1506(200104/05)8:3<191::AID-NLA229>3.0.CO;2-7zbMath1050.74043OpenAlexW1992973440MaRDI QIDQ4814581
Owe Axelsson, Lahcen Laayouni, Boujemâa Achchab, Ali Souissi
Publication date: 7 September 2004
Full work available at URL: https://doi.org/10.1002/1099-1506(200104/05)8:3<191::aid-nla229>3.0.co;2-7
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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The optimal refinement strategy for 3-D simplicial meshes ⋮ Two simple derivations of universal bounds for the CBS inequality constant. ⋮ A New Analytical Framework for the Convergence of Inexact Two-Grid Methods ⋮ Properties of the multidimensional finite elements ⋮ Effective condition number of Trefftz methods for biharmonic equations with crack singularities ⋮ Simplicial finite elements in higher dimensions. ⋮ Strengthened Cauchy-Schwarz inequality for biorthogonal wavelets in Sobolev spaces ⋮ On angles and distances between subspaces ⋮ On the angle and the minimal angle between subspaces
Cites Work
- On the multi-level splitting of finite element spaces
- A preconditioning technique for the efficient solution of problems with local grid refinement
- The hierarchical basis multigrid method
- Algebraic multilevel preconditioning methods. I
- The contraction number of a multigrid method for solving the Poisson equation
- Hierarchical a posteriori error estimator. Application to mixed finite elements
- Stabilization of algebraic multilevel iteration methods; additive methods
- Tetrahedral grid refinement
- A Posteriori Error Estimates Based on Hierarchical Bases
- Algebraic Multilevel Preconditioning Methods, II
- The Role of the Strengthened Cauchy–Buniakowskii–Schwarz Inequality in Multilevel Methods
- Some remarks on the constant in the strengthened CBS inequality: Estimate for hierarchical finite element discretizations of elasticity problems
- Upper bound of the constant in the strengthened C.B.S. inequality for FEM 2D elasticity equations
- Estimate of the Constant in Two Strengthened C.B.S. Inequalities for F.E.M. Systems of 2D Elasticity: Application to Multilevel Methods and a Posteriori Error Estimators
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