Crouzeix-Velte decompositions for higher-order finite elements

DOI10.1016/j.camwa.2005.10.011zbMath1136.65110OpenAlexW2076348374MaRDI QIDQ2475886

Ágnes Baran, Gisbert Stoyan

Publication date: 11 March 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.10.011

zbMATH Keywords

linear elasticitynumerical examplesbubble functionsStokes equationconforming and nonconforming finite elementsCrouzeix-Velte decompositions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Navier-Stokes equations (35Q30)

Related Items (17)

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Cites Work

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• Generalizations to discrete and analytical Crouzeix–Velte decompositions
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• Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
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• Higher-order finite element discretizations in a benchmark problem for incompressible flows
• A uniformly stable family of mixed hp-finite elements with continuous pressures for incompressible flow
• Iterative Stokes solvers in the harmonic Velte subspace
• Algebraic and discrete Velte decompositions

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