T-coercivity for solving Stokes problem with nonconforming finite elements

Erell Jamelot

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arXiv · 2211.00984

T-coercivity for solving Stokes problem with nonconforming finite elements

Erell Jamelot

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Abstract

We propose to analyse the discretization of the Stokes problem with nonconforming finite elements in light of the T-coercivity (cf. [1] for Helmholtz-like problems, see [2], [3] and [4] for the neutron diffusion equation). We propose explicit expressions of the stability constants. Finally, we give numerical results illustrating the importance of using divergence-free velocity reconstruction.

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Erell Jamelot. 2022-11-02. T-coercivity for solving Stokes problem with nonconforming finite elements. https://arxiv.org/abs/2211.00984

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