The patch test conditions and some multivariable finite element formulations
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Publication:4378863
DOI<3015::AID-NME184>3.0.CO;2-1 10.1002/(SICI)1097-0207(19970830)40:16<3015::AID-NME184>3.0.CO;2-1zbMath0895.73070OpenAlexW2017294454MaRDI QIDQ4378863
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Publication date: 5 March 1998
Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19970830)40:16<3015::aid-nme184>3.0.co;2-1
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
- A study on the stability of 3-field finite elements by the theory of zero energy modes
- Dual zero energy modes in mixed/hybrid elements - definition, analysis and control
- On the suppression of zero energy deformation modes
- Rational approach for assumed stress finite elements
- Relations between incompatible displacement model and hybrid stress model
- The patch test—a condition for assessing FEM convergence
- A new approach for the hybrid element method
- Consistency condition and convergence criteria of incompatible elements: General formulation of incompatible functions and its application
- Isoparametric hybrid hexahedral elements for three dimensional stress analysis
- A rational approach for choosing stress terms for hybrid finite element formulations
- Finite elements based on energy orthogonal functions
- Alternative ways for formulation of hybrid stress elements
- A new formulation of hybrid/mixed finite element
- A non-conforming element for stress analysis
- Incompatible quadrilateral basis functions
- The patch test for mixed formulations
- From the individual element test to finite element templates: Evolution of the patch test
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