On the convergence of spectral approximations for the heat convection equations

B. Climent-Ezquerra; M. Poblete-Cantellano; M. A. Rojas-Medar

doi:10.1007/s13163-016-0189-y

On the convergence of spectral approximations for the heat convection equations

B. Climent-Ezquerra
, M. Poblete-Cantellano
, M. A. Rojas-Medar

Department of Mathematics

University of Seville
Universidad de Atacama

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 H²-norm for velocity and temperature without compatibility conditions are obtained. Moreover, we give rates of convergence for the velocity and temperature derivatives in L²-norm.

Original language	English
Pages (from-to)	405-422
Number of pages	18
Journal	Revista Matematica Complutense
Volume	29
Issue number	2
DOIs	https://doi.org/10.1007/s13163-016-0189-y
State	Published - 17 Feb 2016

Keywords

Boussinesq equations
Convergence rate
Heat convection equations
Navier-stokes type equations
Spectral Galerkin approximations

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10.1007/s13163-016-0189-y

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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 H2-norm for velocity and temperature without compatibility conditions are obtained. Moreover, we give rates of convergence for the velocity and temperature derivatives in L2-norm.",

keywords = "Boussinesq equations, Convergence rate, Heat convection equations, Navier-stokes type equations, Spectral Galerkin approximations",

author = "B. Climent-Ezquerra and M. Poblete-Cantellano and Rojas-Medar, \{M. A.\}",

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AU - Climent-Ezquerra, B.

AU - Poblete-Cantellano, M.

AU - Rojas-Medar, M. A.

N1 - Publisher Copyright: © Universidad Complutense de Madrid 2016.

PY - 2016/2/17

Y1 - 2016/2/17

N2 - 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 H2-norm for velocity and temperature without compatibility conditions are obtained. Moreover, we give rates of convergence for the velocity and temperature derivatives in L2-norm.

AB - 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 H2-norm for velocity and temperature without compatibility conditions are obtained. Moreover, we give rates of convergence for the velocity and temperature derivatives in L2-norm.

KW - Boussinesq equations

KW - Convergence rate

KW - Heat convection equations

KW - Navier-stokes type equations

KW - Spectral Galerkin approximations

UR - https://www.scopus.com/pages/publications/84958749515

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DO - 10.1007/s13163-016-0189-y

M3 - Article

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JO - Revista Matematica Complutense

JF - Revista Matematica Complutense

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ER -

On the convergence of spectral approximations for the heat convection equations

Abstract

Keywords

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