SIAM Journal on Numerical Analysis · 1985 · 49 citations · 3 references
EngineeringMechanical EngineeringFinite Element AnalysisFinite Element MethodsFluid DynamicsDynamic Finite Element AnalysisFinite Element DynamicsFinite Element FormulationFlow BehaviorNavier-stokes EquationsNonlinear Finite Element AnalysisBilinear FlowViscous Instability
It is shown that i) the bilinear/constant and linear/constant “box” elements are not uniformly stable and ii) certain element pairs derived from those above by restricting the pressure spaces are stable. The notion of (div)-semistability is developed to study the behavior of the bilinear/constant and linear/constant “box” elements in detail.
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