Analysis of finite element methods for the nonlinear dynamic analysis of shells

DOI10.1007/BF01395312zbMath0536.73065OpenAlexW2016050979MaRDI QIDQ792144

Lois Mansfield

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/132872

zbMATH Keywords

unconditionally stabletime dependent problemsmixed finite element formulationconvergence of the Galerkin method in time approachdamped and undamped problemsfully discrete methodsmathematical error analysisnonlinear dynamic behaviour of shellsstable time integration technique

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Membranes (74K15) Dynamical problems in solid mechanics (74H99)

Related Items (3)

On the convergence of the Galerkin method for coupled thermoelasticity problems ⋮ Optimal error estimates for FEM approximations of dynamic nonlinear shallow shells ⋮ Two-layer projection-difference method with a splitting operator for the wave equation

Cites Work

• Finite element approximation of the Navier-Stokes equations
• On mixed finite element methods for elliptic equations
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Compatible triangular finite-elements
• On the Solution of the Finite Element Equations for Nonlinear Shell Analysis
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