A Finite Element Method for the Compressible Stokes Equations

DOI10.1137/0733039zbMath0852.76044OpenAlexW2005041958MaRDI QIDQ4880234

Biyue Liu, R. Bruce Kellogg

Publication date: 4 June 1996

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0733039

zbMATH Keywords

stabilityerror estimateinf-sup conditionunique solvabilityabstract formulation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

The compressible Stokes flows with no-slip boundary condition on non-convex polygons ⋮ Optimal error estimate for a mixed finite element method for compressible Navier--Stokes system. ⋮ Second order splitting of a class of fourth order PDEs with point constraints ⋮ Discontinuous element pressure gradient stabilizations for compressible Navier-Stokes equations based on local projections ⋮ Finite element methods for compressible Stokes equations with inflow boundary condition ⋮ An analysis for the compressible Stokes equations by first-order system of least-squares finite element method ⋮ A mixed finite element method for a compressible Stokes problem with high Reynolds number ⋮ A convergent finite element-finite volume scheme for the compressible Stokes problem. Part I: The isothermal case ⋮ Optimal explicit Runge-Kutta methods for compressible Navier-Stokes equations ⋮ Smooth solution of the compressible Navier-Stokes equations in an unbounded domain with inflow boundary condition ⋮ Second order splitting for a class of fourth order equations

This page was built for publication: A Finite Element Method for the Compressible Stokes Equations