Stabilized finite element schemes with LBB-stable elements for incompressible flows
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Publication:1775586
DOI10.1016/j.cam.2004.09.017zbMath1063.76054OpenAlexW2126454579MaRDI QIDQ1775586
Tobias Gelhard, Maxim A. Olshanskii, Gert Lube, Jan-Hendrik Starcke
Publication date: 4 May 2005
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2004.09.017
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- Iterative techniques for time dependent Stokes problems
- Error estimates for finite element method solution of the Stokes problem in the primitive variables
- Stabilized finite element methods. II: The incompressible Navier-Stokes equations
- Efficient solvers for incompressible flow problems. An algorithmic and computational approach
- An analysis of the time integration algorithms for the finite element solutions of incompressible Navier--Stokes equations based on a stabilised formulation.
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Numerical investigation on the stability of singular driven cavity flow
- A low-order Galerkin finite element method for the Navier-Stokes equations of steady incompressible flow: a stabilization issue and iterative methods.
- Stable finite-element calculation of incompressible flows using the rotation form of convection
- A Fully Coupled Solver for Incompressible Navier–Stokes Equations using Operator Splitting
- Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
- Analysis of a Streamline Diffusion Finite Element Method for the Stokes and Navier–Stokes Equations
- A stabilized finite element method for generalized stationary incompressible flows
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