ERROR ANALYSIS FOR A MIMETIC DISCRETIZATION OF THE STEADY STOKES PROBLEM ON POLYHEDRAL MESHES

ERROR ANALYSIS FOR A MIMETIC DISCRETIZATION OF THE STEADY STOKES PROBLEM ON POLYHEDRAL MESHES

We present the development, convergence analysis, and numerical tests of the mimetic finite difference method for the Stokes problem on two-dimensional polygonal and three-dimensional polyhedral meshes.

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Veröffentlicht in:SIAM journal on numerical analysis 2010-01, Vol.48 (4), p.1419-1443
Hauptverfasser: DA VEIGA, L. BEIRÃO, LIPNIKOV, K., MANZINI, G.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Approximation
Cauchy Schwarz inequality
Convergence
Degrees of freedom
Discretization
Error analysis
Finite difference method
Finite difference methods
Fluid flow
Geometric shapes
Interpolation
Mathematical analysis
Mathematical vectors
Numerical analysis
Polyhedrons
Studies
Two dimensional
Vertices
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Beschreibung
Zusammenfassung:We present the development, convergence analysis, and numerical tests of the mimetic finite difference method for the Stokes problem on two-dimensional polygonal and three-dimensional polyhedral meshes.
ISSN:0036-1429
1095-7170
DOI:10.1137/090757411