TY - JOUR
T1 - Macro Stokes Elements on Quadrilaterals
AU - Neilan , Michael
AU - Sap , Duygu
JO - International Journal of Numerical Analysis and Modeling
VL - 4-5
SP - 729
EP - 745
PY - 2018
DA - 2018/04
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/12540.html
KW - Finite element analysis, divergence–free, quadrilateral mesh.
AB - <p style="text-align: justify;">We construct a pair of conforming and inf–sup stable finite element spaces for the two–dimensional Stokes problem yielding divergence–free approximations on general convex quadrilateral
partitions. The velocity and pressure spaces consist of piecewise quadratic and piecewise constant
polynomials, respectively. We show that the discrete velocity and a locally post–processed
pressure solution are second–order convergent.</p>