@Article{NMTMA-8-549,
author = {Deepjyoti Goswami and Pedro D. Damázio},
title = {A Two-Grid Finite Element Method for Time-Dependent Incompressible Navier-Stokes Equations with Non-Smooth Initial Data},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2015},
volume = {8},
number = {4},
pages = {549--581},
abstract = {<p style="text-align: justify;">We analyze here, a two-grid finite element method for the two dimensional time-dependent incompressible Navier-Stokes equations with non-smooth initial data. It involves solving the non-linear Navier-Stokes problem on a coarse grid of size $H$ and solving a Stokes problem on a fine grid of size $h, h &lt;&lt;H$. This method gives optimal convergence for velocity in $H^1$-norm and for pressure in $L^2$-norm. The analysis mainly focuses on the loss of regularity of the solution at $t = 0$ of the Navier-Stokes equations.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2015.m1414},
url = {http://global-sci.org/intro/article_detail/nmtma/12423.html}
}