@Article{IJNAM-13-5,
author = {},
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/2016-IJNAM-459},
url = {https://global-sci.com/article/83258/a-new-parallel-finite-element-algorithm-based-on-two-grid-discretization-for-the-generalized-stokes-problem}
}