A multidomain spectral collocation method for the Stokes problem
Copyright policy )A multidomain spectral collocation method for the Stokes problem
The Stokes problem in a plurirectangular domain with homogeneous Dirichlet boundary conditions is considered. The authors generalize a spectral collocation method for the case of a multidomain. They show that the discrete velocity is exactly divergence-free (for any value of discretization parameter) and state an inf-sup condition which guarantees compatibility between the velocity space and the pressure space. They also prove some convergence results for both the velocity and the pressure.
- DigiZeitschriften Germany
- National Research Council Italy
velocity, convergence, Other numerical methods (fluid mechanics), multidomain, error estimate, homogeneous Dirichlet boundary conditions, Article, Stokes and related (Oseen, etc.) flows, pressure, 510.mathematics, Error bounds for initial value and initial-boundary value problems involving PDEs, Stokes problem, Applications to the sciences, Navier-Stokes equations, spectral collocation method, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
velocity, convergence, Other numerical methods (fluid mechanics), multidomain, error estimate, homogeneous Dirichlet boundary conditions, Article, Stokes and related (Oseen, etc.) flows, pressure, 510.mathematics, Error bounds for initial value and initial-boundary value problems involving PDEs, Stokes problem, Applications to the sciences, Navier-Stokes equations, spectral collocation method, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
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