On the stability of BDMS and PEERS elements

DOI10.1007/s00211-004-0547-4zbMath1076.65090OpenAlexW1983026487MaRDI QIDQ706227

Marco Lonsing, Rüdiger Verfürth

Publication date: 8 February 2005

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-004-0547-4

zbMATH Keywords

stabilitylinear elasticitymixed finite elementsinf-sup conditionBDMS elementsFortin operatorsPEERS elements

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) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

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Cites Work

• Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials
• A family of mixed finite elements for the elasticity problem
• A posteriori error estimators for mixed finite element methods in linear elasticity
• PEERS: A new mixed finite element for plane elasticity
• Mixed and Hybrid Finite Element Methods

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