A Note on the Stabilised Q1 − P0 Method on Quadrilaterals with High Aspect Ratios

DOI10.1007/978-3-319-25727-3_1zbMath1427.76116OpenAlexW2474211753MaRDI QIDQ5207403

Gabriel R. Barrenechea, Andreas Wachtel

Publication date: 20 December 2019

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-25727-3_1

zbMATH Keywords

Stokes problemgrade factorinterior edgeopposite edgestabilisation term

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) 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) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (1)

Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes

Cites Work

• Eigenproblems associated with the discrete LBB condition for incompressible finite elements
• 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
• Finite Element Methods for Navier-Stokes Equations
• Analysis of Locally Stabilized Mixed Finite Element Methods for the Stokes Problem
• Robust stabilized Stokes approximation methods for highly stretched grids
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations

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