@Article{AAMM-17-1259,
author = {Zhang , Shangyou},
title = {A Nonconforming P2 and Discontinuous P1 Mixed Finite Element on Tetrahedral Grids},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2025},
volume = {17},
number = {4},
pages = {1259--1274},
abstract = {<p style="text-align: justify;">A nonconforming $P_2$ finite element is constructed by enriching the conforming $P_2$ finite element space with seven $P_2$ nonconforming bubble functions (out of fifteen such bubble functions on each tetrahedron). This spacial nonconforming $P_2$ finite
element, combined with the discontinuous $P_1$ finite element on general tetrahedral
grids, is inf-sup stable for solving the Stokes equations. Consequently, such a mixed
finite element method produces optimal-order convergent solutions for solving the
stationary Stokes equations. Numerical tests confirm the theory.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2023-0316},
url = {http://global-sci.org/intro/article_detail/aamm/24061.html}
}