'Extended' variational formulations and f.e. models for nonlinear non- conservative mechanical problems

DOI10.1016/0045-7825(85)90034-9zbMath0567.73076OpenAlexW2079808752MaRDI QIDQ1060055

Stefano Alliney, Antonio Tralli

Publication date: 1985

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(85)90034-9

zbMATH Keywords

diffusion convection equationextended mixed formulationextended variational principlesill- conditioned balance equation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite element methods applied to problems in solid mechanics (74S05) Free motions in linear vibration theory (70J30)

Related Items

On the stability of elastic structures subjected to follower forces ⋮ On the construction of extended problems and related functionals for general nonlinear equations

Cites Work

• Variational formulation for every nonlinear problem
• Extended variational formulations and F.E. models for nonlinear beams under nonconservative loading
• Approximate symmetrization and Petrov-Galerkin methods for diffusion- convection problems
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Variational principles for non-conservative problems, a foundation for a finite element approach
• Optimal finite element solutions to diffusion-convection problems in one dimension
• Finite element methods for second order differential equations with significant first derivatives
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