Error Analysis of Some Finite Element Methods for the Stokes Problem
نویسنده
چکیده
We prove the optimal order of convergence for some two-dimensional finite element methods for the Stokes equations. First we consider methods of the Taylor-Hood type: the triangular Pi P2 element and the Qk Qk-\ > k ^ 2 , family of quadrilateral elements. Then we introduce two new low-order methods with piecewise constant approximations for the pressure. The analysis is performed using our macroelement technique, which is reviewed in a slightly altered form.
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