A uniform error estimate in time for spectral Galerkin approximations of the magneto-micropolar fluid equations

E. E. Ortega-Torres; M. A. Rojas-Medar; R. C. Cabrales

doi:10.1002/num.20651

A uniform error estimate in time for spectral Galerkin approximations of the magneto-micropolar fluid equations

E. E. Ortega-Torres
, M. A. Rojas-Medar
, R. C. Cabrales

Universidad Católica del Norte
Universidad del Bío-Bío

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

9 Scopus citations

Abstract

We consider Galerkin approximations for the equations modeling the motion of an incompressible magneto-micropolar fluid in a bounded domain. We derive an optimal uniform in time error bound in the H ¹ and L ² -norms for the velocity. This is done without explicit assumption of exponential stability for a class of solutions corresponding to decaying external force fields. Our study is done for no-slip boundary conditions, but the results obtained are easily extended to the case of periodic boundary conditions.

Original language	English
Pages (from-to)	689-706
Number of pages	18
Journal	Numerical Methods for Partial Differential Equations
Volume	28
Issue number	2
DOIs	https://doi.org/10.1002/num.20651
State	Published - Mar 2012
Externally published	Yes

Keywords

Spectral Galerkin method
magneto-micropolar fluid equations
uniform error estimate in time

Access to Document

10.1002/num.20651

Cite this

@article{9c68383e27744fa2b20059c2c57f9ea6,

title = "A uniform error estimate in time for spectral Galerkin approximations of the magneto-micropolar fluid equations",

abstract = "We consider Galerkin approximations for the equations modeling the motion of an incompressible magneto-micropolar fluid in a bounded domain. We derive an optimal uniform in time error bound in the H 1 and L 2 -norms for the velocity. This is done without explicit assumption of exponential stability for a class of solutions corresponding to decaying external force fields. Our study is done for no-slip boundary conditions, but the results obtained are easily extended to the case of periodic boundary conditions.",

keywords = "Spectral Galerkin method, magneto-micropolar fluid equations, uniform error estimate in time",

author = "Ortega-Torres, \{E. E.\} and Rojas-Medar, \{M. A.\} and Cabrales, \{R. C.\}",

year = "2012",

month = mar,

doi = "10.1002/num.20651",

language = "English",

volume = "28",

pages = "689--706",

journal = "Numerical Methods for Partial Differential Equations",

issn = "0749-159X",

number = "2",

}

TY - JOUR

T1 - A uniform error estimate in time for spectral Galerkin approximations of the magneto-micropolar fluid equations

AU - Ortega-Torres, E. E.

AU - Rojas-Medar, M. A.

AU - Cabrales, R. C.

PY - 2012/3

Y1 - 2012/3

N2 - We consider Galerkin approximations for the equations modeling the motion of an incompressible magneto-micropolar fluid in a bounded domain. We derive an optimal uniform in time error bound in the H 1 and L 2 -norms for the velocity. This is done without explicit assumption of exponential stability for a class of solutions corresponding to decaying external force fields. Our study is done for no-slip boundary conditions, but the results obtained are easily extended to the case of periodic boundary conditions.

AB - We consider Galerkin approximations for the equations modeling the motion of an incompressible magneto-micropolar fluid in a bounded domain. We derive an optimal uniform in time error bound in the H 1 and L 2 -norms for the velocity. This is done without explicit assumption of exponential stability for a class of solutions corresponding to decaying external force fields. Our study is done for no-slip boundary conditions, but the results obtained are easily extended to the case of periodic boundary conditions.

KW - Spectral Galerkin method

KW - magneto-micropolar fluid equations

KW - uniform error estimate in time

UR - https://www.scopus.com/pages/publications/84856243144

U2 - 10.1002/num.20651

DO - 10.1002/num.20651

M3 - Article

AN - SCOPUS:84856243144

SN - 0749-159X

VL - 28

SP - 689

EP - 706

JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 2

ER -

A uniform error estimate in time for spectral Galerkin approximations of the magneto-micropolar fluid equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this