Polynomial approximation of divergence-free functions
- 1 January 1989
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 52 (185) , 103-130
- https://doi.org/10.1090/s0025-5718-1989-0971405-9
Abstract
We study the best approximation of a divergence-free function by a divergence-free algebraic or trigonometric polynomial and we prove an optimal estimate. In a particular case we give also an optimal result for the polynomial approximation of a function and its divergence.Keywords
This publication has 18 references indexed in Scilit:
- Analysis of Spectral Projectors in One-Dimensional DomainsMathematics of Computation, 1990
- Properties of Some Weighted Sobolev Spaces and Application to Spectral ApproximationsSIAM Journal on Numerical Analysis, 1989
- Generalized Inf-Sup Conditions for Chebyshev Spectral Approximation of the Stokes ProblemSIAM Journal on Numerical Analysis, 1988
- Spectral Tau approximation of the two-dimensional stokes problemNumerische Mathematik, 1988
- Spectral approximations of the Stokes problem by divergence-free functionsJournal of Scientific Computing, 1987
- Analysis of the Kleiser-Schumann methodNumerische Mathematik, 1986
- A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couette flowJournal of Computational Physics, 1983
- Approximation Results for Orthogonal Polynomials in Sobolev SpacesMathematics of Computation, 1982
- Spectral and Pseudo Spectral Methods for Advection EquationsMathematics of Computation, 1980
- Stability of the Fourier MethodSIAM Journal on Numerical Analysis, 1979