Spectral methods in polar coordinates for the Stokes problem. Application to computation in unbounded domains

DOI10.1090/S0025-5718-96-00710-7zbMath0848.65081MaRDI QIDQ4878566

Laurence Halpern

Publication date: 27 October 1996

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

zbMATH Keywords

Galerkin methoderror estimatesStokes problemspectral methodsexterior problemstransparent boundary condition

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30)

Related Items (5)

Spectral element discretization for the stream-function and vorticity formulation of the axisymmetric Stokes problem ⋮ A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements ⋮ Spectral discretization of the axisymmetric vorticity, velocity and pressure formulation of the Stokes problem ⋮ A spectral method for the Stokes problem in three-dimensional unbounded domains ⋮ Estimates of the deviations from the exact solutions for variational inequalities describing the stationary flow of certain viscous incompressible fluids

Cites Work

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• Large solutions for harmonic maps in two dimensions
• Spectral methods for exterior elliptic problems
• Stability and the Nash solution
• Exact non-reflecting boundary conditions
• Spectral approximation for elliptic boundary value problems
• Résolution d’un problème aux limites dans un ouvert axisymétrique par éléments finis en $r, z$ et séries de Fourier en $\theta $
• The coupling of boundary integral and finite element methods for the bidimensional exterior steady stokes problem
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Finite Element Methods for Navier-Stokes Equations
• A collocation method over staggered grids for the Stokes problem
• On the Coupling of Boundary Integral and Finite Element Methods
• Compatibilité des espaces discrets pour l'approximation spectrale du problème de Stokes périodique/non périodique

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