Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes
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Publication:4579917
DOI10.1051/m2an/2017031zbMath1395.65138OpenAlexW2674698491MaRDI QIDQ4579917
Andreas Wachtel, Gabriel R. Barrenechea
Publication date: 10 August 2018
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://strathprints.strath.ac.uk/61287/
Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items (3)
Robin-type domain decomposition with stabilized mixed approximation for incompressible flow ⋮ The nonconforming virtual element method for Oseen’s equation using a stream-function formulation ⋮ Virtual element methods for a stream-function formulation of the Oseen equations
Cites Work
- On the parameter choice in grad-div stabilization for the Stokes equations
- A residual local projection method for the Oseen equation
- Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Stabilized finite element methods with anisotropic mesh refinement for the Oseen problem
- An anisotropic GLS-stabilized finite element method for incompressible flow problems
- On the accuracy of the rotation form in simulations of the Navier-Stokes equations
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Two classes of mixed finite element methods
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Stabilized finite element methods. II: The incompressible Navier-Stokes equations
- A note on variational representation for singular values of matrix.
- A finite element pressure gradient stabilization for the Stokes equations based on local projections
- Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
- Divergence preserving interpolation on anisotropic quadrilateral meshes
- Stabilized finite element methods for the generalized Oseen problem
- Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales
- The Stability of Mixed hp-Finite Element Methods for Stokes Flow on High Aspect Ratio Elements
- Stabilization of High Aspect Ratio Mixed Finite Elements for Incompressible Flow
- A Generalization of the Local Projection Stabilization for Convection-Diffusion-Reaction Equations
- A unified convergence analysis for local projection stabilisations applied to the Oseen problem
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes
- A Multigrid Version of a Simple Finite Element Method for the Stokes Problem
- Finite Element Methods for Navier-Stokes Equations
- Analysis of Locally Stabilized Mixed Finite Element Methods for the Stokes Problem
- Stabilized Finite Elements on Anisotropic Meshes: A Priori Error Estimates for the Advection-Diffusion and the Stokes Problems
- Grad-div stablilization for Stokes equations
- Mixed Finite Element Methods and Applications
- Robust stabilized Stokes approximation methods for highly stretched grids
- Local projection type stabilization applied to inf-sup stable discretizations of the Oseen problem
- A Note on the Stabilised Q1 − P0 Method on Quadrilaterals with High Aspect Ratios
- Pressure projection stabilizations for Galerkin approximations of Stokes' and Darcy's problem
- Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
- Stabilized Finite Element Methods Based on Multiscale Enrichment for the Stokes Problem
- A minimal stabilisation procedure for mixed finite element methods
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