It is shown that the conforming $Q_{k+1,k}\times Q_{k,k+1}-Q_{k}^{-}$ mixed element is stable, and provides optimal order of approximation for the Stokes equations ...

A natural mixed-element approach for the Stokes equations in the velocity-pressure formulation would approximate the velocity by continuous piecewise-polynomials and would approximate the pressure by ...

This example illustrates some properties of splines. Splines are curves, which are usually required to be continuous and smooth. Splines are usually defined as piecewise polynomials of degree n with ...