Analysis of some stabilized low-order mixed finite element methods for Reissner-Mindlin plates

DOI10.1016/S0045-7825(01)00228-6zbMath1041.74067OpenAlexW2013530512MaRDI QIDQ5956792

Guo-Ping Liang, Huo-Yuan Duan

Publication date: 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(01)00228-6

zbMATH Keywords

rotationshear stressdiscontinuous interpolantlinear interpolantsoptimal L(2)-convergence

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (8)

Continuous finite element methods for Reissner-Mindlin plate problem ⋮ A locking-free Reissner-Mindlin quadrilateral element ⋮ Developments of Mindlin-Reissner plate elements ⋮ Uniform analysis of a stabilized hybrid finite element method for Reissner-Mindlin plates ⋮ Mixed and nonconforming finite element approximations of Reissner-Mindlin plates. ⋮ Analysis of a new augmented mixed finite element method for linear elasticity allowing $\mathbb{RT}_0$-$\mathbb{P}_1$-$\mathbb{P}_0$ approximations ⋮ An improved Reissner-Mindlin triangular element ⋮ A finite element method for Reissner-Mindlin plates

Cites Work

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• Resultant fields for mixed plate bending elements
• An analysis of a mixed finite element method for the Navier-Stokes equations
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• Analysis of a mixed finite element method for the Reissner-Mindlin plate problems
• Analysis of a Linear–Linear Finite Element for the Reissner–Mindlin Plate Model
• A Uniformly Accurate Finite Element Method for the Reissner–Mindlin Plate
• The Boundary Layer for the Reissner–Mindlin Plate Model
• Numerical Approximation of Mindlin-Reissner Plates
• ERROR ANALYSIS OF MIXED-INTERPOLATED ELEMENTS FOR REISSNER-MINDLIN PLATES
• Mixed and Hybrid Finite Element Methods
• AN OPTIMAL LOW-ORDER LOCKING-FREE FINITE ELEMENT METHOD FOR REISSNER–MINDLIN PLATES
• Equivalent Norms for Sobolev Spaces

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