Hybrid finite element methods for the von Kármán equations

DOI10.1007/BF02575930zbMath0443.73035OpenAlexW2031815655WikidataQ56996802 ScholiaQ56996802MaRDI QIDQ1144411

Alfio M. Quarteroni

Publication date: 1979

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02575930

zbMATH Keywords

assumed stress hybrid approximation of von Kármán equationsiterative Newton scheme

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Linear elasticity with initial stresses (74B10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (10)

Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations ⋮ A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations ⋮ An adaptive \(\mathrm{C}^0\) Interior penalty discontinuous Galerkin method and an equilibrated a posteriori error estimator for the von Kármán equations ⋮ Conforming finite element methods for the von Kármán equations ⋮ Morley FEM for a distributed optimal control problem governed by the von Kármán equations ⋮ Morley finite element method for the von Kármán obstacle problem ⋮ Conforming and nonconforming finite element methods for canonical von Kármán equations ⋮ A Nonconforming Finite Element Approximation for the von Karman equations ⋮ Error estimates for the assumed stresses hybrid methods in the approximation of 4th order elliptic equations ⋮ Adaptive Morley FEM for the von Kármán Equations with Optimal Convergence Rates

Cites Work

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• A mixed finite element method for the solutions of the von Kármán equations
• Topics in stability and bifurcation theory
• Error estimates for the assumed stresses hybrid methods in the approximation of 4th order elliptic equations
• Finite element approximations of the von Kármán equations
• Von Kármán's equations and the buckling of a thin elastic plate, II plate with general edge conditions

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