TY - JOUR
T1 - Pointwise Error Estimate for Spectral Galerkin Approximations of Micropolar Equations
AU - Boldrini, J. L.
AU - Notte-Cuello, E.
AU - Poblete-Cantellano, M.
AU - Friz, L.
AU - Rojas-Medar, M. A.
N1 - Publisher Copyright:
© 2016 Taylor & Francis Group, LLC.
PY - 2016/3/3
Y1 - 2016/3/3
N2 - The goal of this article is to present pointwise time error estimates in suitable Hilbert spaces by considering spectral Galerkin approximations of the micropolar fluid model for strong solutions. In fact, we use the properties of the Stokes and Lamé operators for prove the pointwise convergence rate in the H2-norm for the ordinary velocity and microrotational velocity and the pointwise convergence rate in the L2-norm for the time-derivative of both velocities. The novelty of our method is that we do not impose any compatibility conditions in the initial data.
AB - The goal of this article is to present pointwise time error estimates in suitable Hilbert spaces by considering spectral Galerkin approximations of the micropolar fluid model for strong solutions. In fact, we use the properties of the Stokes and Lamé operators for prove the pointwise convergence rate in the H2-norm for the ordinary velocity and microrotational velocity and the pointwise convergence rate in the L2-norm for the time-derivative of both velocities. The novelty of our method is that we do not impose any compatibility conditions in the initial data.
KW - Error estimates
KW - micropolar fluid equations
KW - spectral Galerkin method
UR - https://www.scopus.com/pages/publications/84961246977
U2 - 10.1080/01630563.2015.1115770
DO - 10.1080/01630563.2015.1115770
M3 - Article
AN - SCOPUS:84961246977
SN - 0163-0563
VL - 37
SP - 304
EP - 323
JO - Numerical Functional Analysis and Optimization
JF - Numerical Functional Analysis and Optimization
IS - 3
ER -