On a finite element scheme based on the discrete Kirchhoff assumption

DOI10.1007/BF01436593zbMath0295.73067MaRDI QIDQ1213343

Fumio Kikuchi

Publication date: 1975

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

Full work available at URL: https://eudml.org/doc/132340

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Minimal-degree thin triangular plate and shell bending finite elements of order two and four, Studies in plate flexure. I: A mixed finite element formulation for Reissner-Mindlin plate theory: Uniform convergence of all higher-order spaces, Petrov-Galerkin formulations of the Timoshenko beam problem, Analysis of some low-order finite element schemes for Mindlin-Reissner and Kirchhoff plates, On the convergence of a discrete Kirchhoff triangle method valid for shells of arbitrary shape, A mixed finite element method for the biharmonic eigenvalue problems of plate bending, On the mixed finite element approximation for the buckling of plates, Approximation numérique du cisaillement transverse dans les plaques minces en flexion. (Numerical approximation of transverse shearing stress in bent plates)

Cites Work

• Ein Kriterium für die Quasi-Optimalität des Titzschen Verfahrens
• On the finite element method
• On the convergence of a mixed finite-element method for plate bending problems
• A rapidly converging triangular plate element.
• Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
• Basis of finite element methods for solid continua
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