A new streamline diffusion finite element method for the generalized Oseen problem

DOI10.1007/s10483-018-2296-6zbMath1382.65422OpenAlexW2763974551MaRDI QIDQ1706325

Xin Liao, Chao Xu, Dong-Yang Shi

Publication date: 22 March 2018

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-018-2296-6

zbMATH Keywords

Oseen problemsuperconvergent error estimatestreamline diffusion methodBernardi-Raugel element

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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 (2)

Local and parallel finite element algorithms for the time-dependent Oseen equations ⋮ A novel approach of superconvergence analysis of the bilinear-constant scheme for time-dependent Stokes equations

Cites Work

• Nonconforming local projection stabilization for generalized Oseen equations
• A modified streamline diffusion method for solving the stationary Navier- Stokes equation
• The finite difference streamline diffusion method for the incompressible Navier-Stokes equations.
• Uniform error estimates for triangular finite element solutions of advection-diffusion equations
• Streamline-diffusion method of a lowest order nonconforming rectangular finite element for convection-diffusion problem
• Some Remarks on Residual-based Stabilisation of Inf-sup Stable Discretisations of the Generalised Oseen Problem
• A unified convergence analysis for local projection stabilisations applied to the Oseen problem
• Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations
• Analysis of a Streamline Diffusion Finite Element Method for the Stokes and Navier–Stokes Equations
• Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem
• An inf-sup Stable and Residual-Free Bubble Element for the Oseen Equations
• Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
• RESIDUAL-BASED STABILIZED HIGHER-ORDER FEM FOR A GENERALIZED OSEEN PROBLEM
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