Analysis of the Kleiser-Schumann method

DOI10.1007/BF01390431zbMath0623.76019MaRDI QIDQ1091869

B. George

Publication date: 1986

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133149

zbMATH Keywords

Stokes problemspace discretizationExistence of solutionflow between two infinite parallel planesHilbert spaces of Sobolev typeKleiser-Schumann methodLegendre method

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Convergence of the Kleiser Schumann method for the Navier-Stokes equations, Spectral Tau approximation of the two-dimensional Stokes problem, Divergence-free velocity fields in nonperiodic geometries, On the spectral solution of the three-dimensional Navier-Stokes equations in spherical and cylindrical regions, On the rotation and skew-symmetric forms for incompressible flow simulations, The spectrum of a Chebyshev-Fourier approximation for the Stokes equations, Invariant states in inclined layer convection. Part 1. Temporal transitions along dynamical connections between invariant states, Spectral Methods and a Maximum Principle, Spectral approximation of the periodic nonperiodic Navier-Stokes equations

Cites Work

• Finite element approximation of the Navier-Stokes equations
• A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couette flow
• Computation of natural convection in two-dimensional cavities with Chebyshev polynomials
• On spectral multigrid methods for the time-dependent Navier-Stokes equations
• Integral conditions for the pressure in the computation of incompressible viscous flows
• Convergence of the Kleiser Schumann method for the Navier-Stokes equations
• Boundary conditions for incompressible flows
• On the numerical solution of time-dependent viscous incompressible fluid flows involving solid boundaries
• Pressure and time treatment for Chebyshev spectral solution of a Stokes problem
• A Finite Element-Capacitance Matrix Method for the Elliptic Problem
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Transition to turbulence in plane Poiseuille and plane Couette flow
• On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method
• Simulation of Taylor-Couette flow. Part 1. Numerical methods and comparison with experiment
• Computational Efficiency in the Selection of Regression Variables
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions
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