A stabilized covolume method for the Stokes problem

DOI10.1016/S0045-7825(00)00250-4zbMath0990.76043MaRDI QIDQ5931190

Do Young Kwak, Hyun-Jung Kwon

Publication date: 14 August 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

uniquenesspressurevelocityStokes problemapproximation spaceslinear convergencePetrov-Galerkin methodstabilized covolume method

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• 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
• A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
• Stabilized mixed methods for the Stokes problem
• An analysis of a mixed finite element method for the Navier-Stokes equations
• An Absolutely Stabilized Finite Element Method for the Stokes Problem
• Regularization procedures of mixed finite element approximations of the stokes problem
• Analysis of Locally Stabilized Mixed Finite Element Methods for the Stokes Problem
• Direct Discretization of Planar Div-Curl Problems
• Mixed and Hybrid Finite Element Methods
• A Covolume Method Based on Rotated Bilinears for the Generalized Stokes Problem
• Analysis and convergence of the MAC scheme. II. Navier-Stokes equations
• Analysis and convergence of a covolume method for the generalized Stokes problem