A NONOVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE OSEEN EQUATIONS

DOI10.1142/S0218202598000500zbMath0939.65137OpenAlexW2167104304MaRDI QIDQ4270530

F. C. Otto, Gert Lube

Publication date: 22 November 1999

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202598000500

zbMATH Keywords

convergencefinite element methodnumerical examplesOseen equationsadvection-diffusion reaction problemsnonoverlapping domain decomposition algorithm

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10)

Related Items (10)

Towards optimized Schwarz methods for the Navier-Stokes equations ⋮ Robin-type domain decomposition with stabilized mixed approximation for incompressible flow ⋮ Study of a non-overlapping domain decomposition method: Poisson and Stokes problems. ⋮ Domain decomposition and discretization of continuous mathematical models ⋮ A nonoverlapping domain decomposition method for stabilized finite element approximations of the Oseen equations ⋮ Deriving a new domain decomposition method for the Stokes equations using the Smith factorization ⋮ Boundary conditions and Schwarz waveform relaxation method for linear viscous Shallow Water equations in hydrodynamics ⋮ A non-overlapping domain decomposition method for parabolic initial-boundary value problems ⋮ Stabilized Galerkin methods and layer-adapted grids for elliptic problems ⋮ The convergence of classical Schwarz methods applied to convection--diffusion problems with regular boundary layers

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