MathematicsEngineering
R. Rannacher, S. Turek
1992.3.1NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
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.
Citation format
RANNACHER, R.; TUREK, S. Simple nonconforming quadrilateral stokes element. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 1992, 8: 97–111.