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Three-field mixed approximation and the plate bending problem. (English) Zbl 0613.73064
The three-field mixed approximation is typical of Reissner-Mindlin plates, Hu-Washizu elasticity form, etc. A simple stability requirement is presented which, when used with a ’conceptual’ patch test, shows why some of the currently used elements fail and how improved element forms can be generated.

74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates
74S30 Other numerical methods in solid mechanics (MSC2010)
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