Mixed hp-DGFEM for Incompressible Flows

Mixed hp-DGFEM for Incompressible Flows

We consider several mixed discontinuous Galerkin approximations of the Stokes problem and propose an abstract framework for their analysis. Using this framework, we derive a priori error estimates for hp-approximations on tensor product meshes. We also prove a new stability estimate for the discrete...

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Veröffentlicht in:SIAM journal on numerical analysis 2003-01, Vol.40 (6), p.2171-2194
Hauptverfasser: Schötzau, Dominik, Schwab, Christoph, Toselli, Andrea
Format: Artikel
Sprache:eng
Schlagworte:
A priori knowledge
Approximation
Conformity
Degrees of polynomials
Estimates
Estimation methods
Exact sciences and technology
Finite element method
Galerkin methods
Mathematical analysis
Mathematical discontinuity
Mathematics
Navier Stokes equation
Navier-Stokes equations
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, boundary value problems
Polynomials
Sciences and techniques of general use
Velocity
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Beschreibung
Zusammenfassung:We consider several mixed discontinuous Galerkin approximations of the Stokes problem and propose an abstract framework for their analysis. Using this framework, we derive a priori error estimates for hp-approximations on tensor product meshes. We also prove a new stability estimate for the discrete divergence bilinear form.
ISSN:0036-1429
1095-7170
DOI:10.1137/S0036142901399124