Spectral and Pseudo-Spectral Approximations of the Navier–Stokes Equations

DOI10.1137/0719053zbMath0503.76035OpenAlexW2080041519WikidataQ56996770 ScholiaQ56996770MaRDI QIDQ3970024

Publication date: 1982

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0719053

zbMATH Keywords

Sobolev spaces pressure velocity stationary Sobolev embedding theorem optimal rates of convergence stability results approximation of Burgers' equations by pseudo-spectral methods polynomial approximations to nonsingular solutions of nonlinear problems

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Partial differential equations of mathematical physics and other areas of application (35Q99) Basic methods in fluid mechanics (76M99)

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