Numerical Methods for Partial Differential Equations · 1992 · 599 citations · 2 references
ComputingComputational EngineeringComputational Fluid DynamicsComputational GeometryFinite Element MethodsConvergence AnalysisFinite Element FormulationParametric ModelingShape FunctionsQuadrilateral ElementsUnstructured Tetrahedral Grids
Abstract A simple nonconforming quadrilateral Stokes element based on “rotated” multi‐linear shape functions is analyzed. On strongly nonuniform meshes the usual parametric version of this element suffers from a lack of consistency, while its nonparametric counterpart turns out to be convergent with optimal orders. This theoretical result is confirmed by numerical tests.
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