Optimal error estimate for a mixed finite element method for compressible Navier--Stokes system.

DOI10.1016/S0168-9274(02)00213-1zbMath1061.76031OpenAlexW2001879054MaRDI QIDQ1874219

Jae Ryong Kweon

Publication date: 22 May 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(02)00213-1

zbMATH Keywords

inf-sup conditionlowest-order Raviart-Thomas element

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) 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)

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Cites Work

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• An analysis of a mixed finite element method for the Navier-Stokes equations
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• Compressible Navier--Stokes Equations in a Bounded Domain with Inflow Boundary Condition
• A New Mixed Finite Element for the Stokes and Elasticity Problems
• Local boundary conditions for dissipative symmetric linear differential operators
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• Mixed and Hybrid Finite Element Methods
• Error Estimates for Adaptive Finite Element Computations
• A Discontinuous Galerkin Method for Convection-Dominated Compressible Viscous Navier--Stokes Equations with an Inflow Boundary Condition
• A Finite Element Method for the Compressible Stokes Equations
• Equivalent Norms for Sobolev Spaces
• A mixed finite element method for a compressible Stokes problem with high Reynolds number
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