A local projection stabilisation finite element method for the Stokes equations using biorthogonal systems

We present a stabilised finite element method for the Stokes equations. The stabilisation is based on a biorthogonal system, which preserves the locality of the approach. We present a priori error estimates of the presented scheme and demonstrate some numerical results.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of computational and applied mathematics 2021-09, Vol.393, p.113542, Article 113542
Hauptverfasser:	Lamichhane, Bishnu P., Shaw-Carmody, Jordan A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Biorthogonal system Inf–sup condition Local stabilisation Mixed finite elements Stokes equations
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Beschreibung
Zusammenfassung:	We present a stabilised finite element method for the Stokes equations. The stabilisation is based on a biorthogonal system, which preserves the locality of the approach. We present a priori error estimates of the presented scheme and demonstrate some numerical results.
ISSN:	0377-0427 1879-1778
DOI:	10.1016/j.cam.2021.113542