Error analysis of some finite element methods for the Stokes problem
Error analysis of some finite element methods for the Stokes problem
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 <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper P 3 minus upper P 2"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>P</mml:mi> <mml:mn>3</mml:mn> </mml:msub> </mml:mrow> <mml:mo>−<!-- − --></mml:mo> …