Stable and Semistable Low Order Finite Elements for Viscous Flows

Stable and Semistable Low Order Finite Elements for Viscous Flows

It is shown that i) the bilinear/constant and linear/constant "box" elements are not uniformly stable and ii) certain element pairs derived from those above by restricting the pressure spaces are stable. The notion of (div)-semistability is developed to study the behavior of the bilinear/c...

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Veröffentlicht in:SIAM journal on numerical analysis 1985-06, Vol.22 (3), p.474-492
Hauptverfasser: Boland, J. M., Nicolaides, R. A.
Format: Artikel
Sprache:eng
Schlagworte:
Airy equation
Applied mathematics
Approximation
Exact sciences and technology
Hilbert spaces
Mathematical functions
Mathematical notation
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, miscellaneous problems
Respect
Saddle points
Sciences and techniques of general use
Triangulation
Uniqueness
Velocity
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Beschreibung
Zusammenfassung:It is shown that i) the bilinear/constant and linear/constant "box" elements are not uniformly stable and ii) certain element pairs derived from those above by restricting the pressure spaces are stable. The notion of (div)-semistability is developed to study the behavior of the bilinear/constant and linear/constant "box" elements in detail.
ISSN:0036-1429
1095-7170
DOI:10.1137/0722028