Splitting schemes for the stress formulation of the incompressible Navier-Stokes equations

DOI10.1016/j.cam.2017.03.033zbMath1394.65132OpenAlexW2608647277MaRDI QIDQ724579

Petr N. Vabishchevich, Peter D. Minev

Publication date: 26 July 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.03.033

zbMATH Keywords

Navier-Stokessplitting schemesstress formulation

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Cites Work

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• A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations
• Theory and practice of finite elements.
• Flux-splitting schemes for parabolic problems
• High-Order Time Stepping for the Incompressible Navier--Stokes Equations
• Nonconforming Finite Element Methods for the Equations of Linear Elasticity
• Divergence‐free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme
• Flow variant of the sweep method for difference problems with strongly varying coefficients