Abstract

This chapter reviews various stable finite element pairs that are suitable to approximate the Stokes equations. We first review two standard techniques to prove the inf-sup condition, one based on the Fortin operator and one hinging on a weak control of the pressure gradient. Then we show how these techniques can be applied to finite element pairs where the discrete pressure space is \(H^1\)-conforming. The two main examples are the mini element and the Taylor–Hood element.

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