@Article{IJNAM-13-676,
author = {Y.-Q. Shang, Y.-N. He and X.-L. Feng},
title = {A New Parallel Finite Element Algorithm Based on Two-Grid Discretization for the Generalized Stokes Problem},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2016},
volume = {13},
number = {5},
pages = {676--688},
abstract = {<p style="text-align: justify;">Based on two-grid discretization, a new parallel finite element algorithm for the
generalized Stokes problem is proposed and analyzed. Motivated by the observation that for
a solution to the generalized Stokes problem, low frequency components can be approximated
well by a relatively coarse grid and high frequency components can be computed on a fine grid,
this algorithm first solves the generalized Stokes problem on a coarse grid, and then corrects
the resulted residual by standard additive Schwarz method on a fine grid. Under some regular
assumptions, error estimates of the approximate solutions are provided. Numerical results are
also given to illustrate the effectiveness of the algorithm.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/459.html}
}