Climent-Ezquerra, B.B.Climent-EzquerraPoblete-Cantellano, M.M.Poblete-CantellanoRojas-Medar, M. A.M. A.Rojas-Medar2026-10-192026-10-192016-05Climent-Ezquerra, B.; Poblete-Cantellano, M.; Rojas-Medar, M. A. (2016-05). On the convergence of spectral approximations for the heat convection equations. REVISTA MATEMATICA COMPLUTENSE, 29 (2), 405-422. https://doi.org/10.1007/s13163-016-0189-y1139-11381988-2807https://hdl.handle.net/20.500.12740/25246In 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.enSpectral Galerkin approximationsConvergence rateBoussinesq equationsNavier-Stokes type equationsHeat convection equationsArticulohttps://doi.org/10.1007/s13163-016-0189-y