RESIDUAL-BASED STABILIZED HIGHER-ORDER FEM FOR A GENERALIZED OSEEN PROBLEM

DOI10.1142/S0218202506001418zbMath1095.76032MaRDI QIDQ5484801

Gerd Rapin, Gert Lube

Publication date: 21 August 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

grad-div stabilizationmodified inf-sup condition

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
• Unnamed Item
• A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations
• A modified streamline diffusion method for solving the stationary Navier- Stokes equation
• 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
• 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
• Stabilized finite element methods with shock capturing for advection-diffusion problems
• Stabilized finite element schemes with LBB-stable elements for incompressible flows
• Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
• Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
• The local discontinuous Galerkin method for the Oseen equations
• Spectral Vanishing Viscosity Method For Nonlinear Conservation Laws
• Iterative substructuring methods for incompressible non‐isothermal flows and its application to indoor air flow simulation
• A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
• Analysis of a Streamline Diffusion Finite Element Method for the Stokes and Navier–Stokes Equations
• Stabilised \(hp\)-finite element approximation of partial differential equations with nonnegative characteristic form