Unconditional stability and convergence of fully discrete schemes for $2D$ viscous fluids models with mass diffusion

DOI10.1090/S0025-5718-08-02099-1zbMath1193.35153OpenAlexW2011895409MaRDI QIDQ3577009

Juan Vicente Gutiérrez-Santacreu, Francisco Guillén-González

Publication date: 3 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02099-1

zbMATH Keywords

stabilityconvergencefinite elementsKazhikhov-Smagulov models

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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• Some new Kazhikhov-Smagulov type systems: pollutant spread and low Mach number combustion models
• Effect of density dependent viscosities on multiphasic incompressible fluid models
• A priori error estimates of the Langrange-Galerkin method for Kazhikhov-Smagulov type systems.
• Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model
• Numerical simulations of high density ratio lock-exchange flows
• Finite Element Methods for Navier-Stokes Equations
• On the Motion of Viscous Fluids in the Presence of Diffusion

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