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We solve the Stokes problem numerically. We analyse the \(\textbf{P}_{nc}^1\times (P^0+P^1)\) mixed finite element method which exhibits interesting numerical features. However, only an incomplete proof of the inf-sup condition is available. We prove here this condition and the stability of the method.

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Stability Of The \(\textbf{P}_{nc}^1\times (P^0+P^1)\) Element

  • 会议论文

  • 发表日期：

    2025年

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  • Erell Jamelot,
  • Patrick Ciarlet,
  • Stefan Sauter

摘要

We solve the Stokes problem numerically. We analyse the \(\textbf{P}_{nc}^1\times (P^0+P^1)\) mixed finite element method which exhibits interesting numerical features. However, only an incomplete proof of the inf-sup condition is available. We prove here this condition and the stability of the method.