Stable finite element pair for Stokes problem and discrete Stokes complex on quadrilateral grids
Numerical Analysis
2013-10-18 v1
Abstract
In this paper, we first construct a nonconforming finite element pair for the incompressible Stokes problem on quadrilateral grids, and then construct a discrete Stokes complex associated with that finite element pair. The finite element spaces involved consist of piecewise polynomials only, and the divergence-free condition is imposed in a primal formulation. Combined with some existing results, these constructions can be generated onto grids that consist of both triangular and quadrilateral cells.
Cite
@article{arxiv.1310.4785,
title = {Stable finite element pair for Stokes problem and discrete Stokes complex on quadrilateral grids},
author = {Shuo Zhang},
journal= {arXiv preprint arXiv:1310.4785},
year = {2013}
}