On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations

DOI10.1051/m2an:2005046zbMath1085.76041OpenAlexW2120525645MaRDI QIDQ5715743

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Publication date: 5 January 2006

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2005__39_6_1251_0

zbMATH Keywords

convergencefinite element approximationDirichlet-Neumann substructuring

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (7)

Towards optimized Schwarz methods for the Navier-Stokes equations ⋮ Non-overlapping Schwarz algorithms for the incompressible Navier–Stokes equations with DDFV discretizations ⋮ Robin-type domain decomposition with stabilized mixed approximation for incompressible flow ⋮ A Schwarz alternating method for an evolution convection problem ⋮ Explicit/implicit and Crank-Nicolson domain decomposition methods for parabolic partial differential equations ⋮ A Schwarz method for a Rayleigh-Bénard problem ⋮ Boundary conditions and Schwarz waveform relaxation method for linear viscous Shallow Water equations in hydrodynamics

Cites Work

• On substructuring algorithms and solution techniques for the numerical approximation of partial differential equations
• A relaxation procedure for domain decomposition methods using finite elements
• Multimodels for incompressible flows
• On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs
• On Schwarz Alternating Methods for the Incompressible Navier--Stokes Equations
• Finite Element Methods for Navier-Stokes Equations
• Some Nonoverlapping Domain Decomposition Methods
• An Optimization-Based Domain Decomposition Method for the Navier--Stokes Equations
• On Schwarz Alternating Methods for Nonlinear Elliptic PDEs
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