On the Convergence Rate of Spectral Approximations for the Equations of Nonhomogeneous Incompressible Fluids

E. Ortega-Torres; M. Poblete-Cantellano; M. A. Rojas-Medar

doi:10.1080/01630563.2020.1869041

On the Convergence Rate of Spectral Approximations for the Equations of Nonhomogeneous Incompressible Fluids

E. Ortega-Torres
, M. Poblete-Cantellano
, M. A. Rojas-Medar

Departamento de Matemática

Universidad Católica del Norte
Universidad de Atacama

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

In this paper, we are concerned about the convergence rates of spectral semi-Galerkin methods to solve the equations describing the motion of a nonhomogeneous viscous incompressible fluid. This approach allows the study of density dependent viscosity.

Idioma original	Inglés
Páginas (desde-hasta)	91-108
Número de páginas	18
Publicación	Numerical Functional Analysis and Optimization
Volumen	42
N.º	1
DOI	https://doi.org/10.1080/01630563.2020.1869041
Estado	Publicada - 2020

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title = "On the Convergence Rate of Spectral Approximations for the Equations of Nonhomogeneous Incompressible Fluids",

abstract = "In this paper, we are concerned about the convergence rates of spectral semi-Galerkin methods to solve the equations describing the motion of a nonhomogeneous viscous incompressible fluid. This approach allows the study of density dependent viscosity.",

keywords = "Convergence, Error estimates, Fluids with variable density, Navier-Stokes equations, Spectral Galerkin appproximations",

author = "E. Ortega-Torres and M. Poblete-Cantellano and Rojas-Medar, \{M. A.\}",

note = "Publisher Copyright: {\textcopyright} 2021 Taylor \& Francis Group, LLC.",

year = "2020",

doi = "10.1080/01630563.2020.1869041",

language = "English",

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pages = "91--108",

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AU - Ortega-Torres, E.

AU - Poblete-Cantellano, M.

AU - Rojas-Medar, M. A.

PY - 2020

Y1 - 2020

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AB - In this paper, we are concerned about the convergence rates of spectral semi-Galerkin methods to solve the equations describing the motion of a nonhomogeneous viscous incompressible fluid. This approach allows the study of density dependent viscosity.

KW - Convergence

KW - Error estimates

KW - Fluids with variable density

KW - Navier-Stokes equations

KW - Spectral Galerkin appproximations

UR - https://www.scopus.com/pages/publications/85099605581

U2 - 10.1080/01630563.2020.1869041

DO - 10.1080/01630563.2020.1869041

M3 - Article

AN - SCOPUS:85099605581

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VL - 42

SP - 91

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JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

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On the Convergence Rate of Spectral Approximations for the Equations of Nonhomogeneous Incompressible Fluids

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