Reduced integration for improved accuracy of finite element approximations

DOI10.1016/0045-7825(78)90011-7zbMath0404.73067OpenAlexW2062941684MaRDI QIDQ1256887

Ranbir S. Sandhu, Kamar J. Singh

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0045-7825(78)90011-7

zbMATH Keywords

Finite Element ApproximationsMultiple CoveringSystem Modes

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Variational methods for higher-order elliptic equations (35J35)

Related Items (4)

On the application of a least squares residual-fitting finite element formulation to fluid flow problems ⋮ Evaluation of the stiffness matrix in static and dynamic elasticity problems ⋮ Analysis of Some Mixed Finite Element Methods Related to Reduced Integration ⋮ A novel FEM by scaling the gradient of strains with factor \(\alpha\) (\(\alpha\)FEM)

Cites Work

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• Theoretical foundations of the finite element method
• A variational principle for incompressible and nearly-incompressible anisotropic elasticity
• A finite element Galerkin formulation and its numerical performance
• Least square‐finite element for elasto‐static problems. Use of ‘reduced’ integration
• Local and global smoothing of discontinuous finite element functions using a least squares method
• Improved numerical integration of thick shell finite elements
• A note on accuracy and convergence of finite element approximations
• Reduced integration technique in general analysis of plates and shells
• On completeness of shape functions for finite element analysis
• A note on convergence of finite element solutions

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