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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.

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