Divergence-free HDG methods for the vorticity-velocity formulation of the Stokes problem
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Publication:1930933
DOI10.1007/S10915-011-9542-YzbMath1311.76054OpenAlexW2039963023MaRDI QIDQ1930933
Publication date: 14 January 2013
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-011-9542-y
Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (7)
Analysis of a reduced-order HDG method for the Stokes equations ⋮ To CG or to HDG: a comparative study in 3D ⋮ A hybridizable discontinuous Galerkin method for modeling fluid-structure interaction ⋮ Hybridized discontinuous Galerkin method for convection-diffusion problems ⋮ A pressure‐robust weak Galerkin finite element method for <scp>Navier–Stokes</scp> equations ⋮ Static Condensation, Hybridization, and the Devising of the HDG Methods ⋮ HDG methods for Stokes equation based on strong symmetric stress formulations
Cites Work
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- A hybridizable discontinuous Galerkin method for Stokes flow
- An analysis of HDG methods for the vorticity-velocity-pressure formulation of the Stokes problem in three dimensions
- Analysis of HDG methods for Stokes flow
- Hybridized globally divergence-free LDG methods. Part I: The Stokes problem
- The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow
- A projection-based error analysis of HDG methods
- Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
- Divergence-conforming HDG methods for Stokes flows
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