On the convergence rate of spectral approximation for the equations for nonhomogeneous asymmetric fluids

José Luiz Boldrini; Marko Rojas-Medar

doi:10.1051/m2an/1996300201231

On the convergence rate of spectral approximation for the equations for nonhomogeneous asymmetric fluids

José Luiz Boldrini
, Marko Rojas-Medar

Universidade Estadual de Campinas

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

13 Scopus citations

Abstract

We study the convergence rate of solutions of spectral semi-Galerkin approximations for the equations for the motion of a nonhomogeneous incompressible asymmetric fluid in a bounded domain. We find error estimates that are optimal in the H¹-norm as well as improved estimates in the L²-norm.

Original language	English
Pages (from-to)	123-155
Number of pages	33
Journal	Mathematical Modelling and Numerical Analysis
Volume	30
Issue number	2
DOIs	https://doi.org/10.1051/m2an/1996300201231
State	Published - 1996
Externally published	Yes

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title = "On the convergence rate of spectral approximation for the equations for nonhomogeneous asymmetric fluids",

abstract = "We study the convergence rate of solutions of spectral semi-Galerkin approximations for the equations for the motion of a nonhomogeneous incompressible asymmetric fluid in a bounded domain. We find error estimates that are optimal in the H1-norm as well as improved estimates in the L2-norm.",

author = "Boldrini, \{Jos{\'e} Luiz\} and Marko Rojas-Medar",

year = "1996",

doi = "10.1051/m2an/1996300201231",

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AU - Boldrini, José Luiz

AU - Rojas-Medar, Marko

PY - 1996

Y1 - 1996

N2 - We study the convergence rate of solutions of spectral semi-Galerkin approximations for the equations for the motion of a nonhomogeneous incompressible asymmetric fluid in a bounded domain. We find error estimates that are optimal in the H1-norm as well as improved estimates in the L2-norm.

AB - We study the convergence rate of solutions of spectral semi-Galerkin approximations for the equations for the motion of a nonhomogeneous incompressible asymmetric fluid in a bounded domain. We find error estimates that are optimal in the H1-norm as well as improved estimates in the L2-norm.

UR - https://www.scopus.com/pages/publications/0030538767

U2 - 10.1051/m2an/1996300201231

DO - 10.1051/m2an/1996300201231

M3 - Article

AN - SCOPUS:0030538767

SN - 0764-583X

VL - 30

SP - 123

EP - 155

JO - Mathematical Modelling and Numerical Analysis

JF - Mathematical Modelling and Numerical Analysis

IS - 2

ER -

On the convergence rate of spectral approximation for the equations for nonhomogeneous asymmetric fluids

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