Convergence results for the vector penalty-projection and two-step artificial compressibility methods

DOI10.3934/dcdsb.2012.17.1383zbMath1245.35079OpenAlexW2321308113MaRDI QIDQ432572

Philippe Angot, Pierre Fabrie

Publication date: 4 July 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.1383

zbMATH Keywords

Navier-Stokes equationspenalty methodpseudo-compressibilityartificial compressibilityvector penalty-projection

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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