On the convergence of spectral approximations for the heat convection equations
Journal
REVISTA MATEMATICA COMPLUTENSE
Date Issued
2016-05
Author(s)
Climent-Ezquerra, B.
Poblete-Cantellano, M.
Rojas-Medar, M. A.
Abstract
In this paper, we focus on the convergence rate of solutions of spectral Galerkin approximations for the heat convection equations on a bounded domain. Estimates in H-2-norm for velocity and temperature without compatibility conditions are obtained. Moreover, we give rates of convergence for the velocity and temperature derivatives in L-2-norm.