Stability and approximability of the 𝒫<sub>1</sub>–𝒫<sub>0</sub> element for Stokes equations

Qin, Jinshui; Zhang, Shangyou

doi:10.1002/fld.1407

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Stability and approximability of the 𝒫1–𝒫0 element for Stokes equations

Published in International Journal for Numerical Methods in Fluids • Dec 21, 2006

Authors:

Jinshui Qin

Shangyou Zhang

Abstract

Abstract In this paper we study the stability and approximability of the 𝒫 1 –𝒫 0 element (continuous piecewise linear for the velocity and piecewise constant for the pressure on triangles) for Stokes equations. Although this element is unstable for all meshes, it provides optimal approximations f...

Subject

Mathematics

Piecewise

Finite element method

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