An improved finite element formulation derived from the method of weighted residuals

DOI10.1016/0045-7825(78)90024-5zbMath0403.76001OpenAlexW1968071484MaRDI QIDQ1256355

C. A. J. Fletcher

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)90024-5

zbMATH Keywords

Fluid MechanicsGalerkin Weighted Residual MethodLeast Square Weighted Residual MethodReduced Integration

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Software, source code, etc. for problems pertaining to fluid mechanics (76-04) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (6)

Generalized implicit function theorems and problems with a free boundary ⋮ On the application of a least squares residual-fitting finite element formulation to fluid flow problems ⋮ Shape design sensitivity of a membrane ⋮ An improved finite element formulation derived from the method of weighted residuals ⋮ Differentiation with Respect to the Domain in Boundary Value Problems ⋮ Quelques Inequations Quasi-Variationnelles avec Restrictions Bornees par Rapport a l'Ordre

Cites Work

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• An improved finite element formulation derived from the method of weighted residuals
• A degenerate solid element for linear fracture analysis of plate bending and general shells
• Quadratic finite element schemes for two-dimensional convective-transport problems
• 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
• Reduced integration technique in general analysis of plates and shells

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