Nitsche’s type stabilized finite element method for the fully mixed Stokes–Darcy problem with Beavers–Joseph conditions

Nitsche’s type stabilized finite element method for the fully mixed Stokes–Darcy problem with Beavers–Joseph conditions

In this paper, we develop a Nitsche’s type interface stabilized method for fully mixed Stokes–Darcy problem with original Beavers–Joseph conditions. The method introduces two strongly consistent interface stabilization terms to guarantee the stability of the fully mixed finite element method. The st...

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Veröffentlicht in:Applied mathematics letters 2020-12, Vol.110, p.106588, Article 106588
Hauptverfasser: Yu, Jiaping, Sun, Yizhong, Shi, Feng, Zheng, Haibiao
Format: Artikel
Sprache:eng
Schlagworte:
Beavers–Joseph conditions
Nitsche’s method
Stabilized method
Stokes–Darcy problem
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Zusammenfassung:In this paper, we develop a Nitsche’s type interface stabilized method for fully mixed Stokes–Darcy problem with original Beavers–Joseph conditions. The method introduces two strongly consistent interface stabilization terms to guarantee the stability of the fully mixed finite element method. The stability and optimal error estimates of this new stabilized method are also derived.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2020.106588