@Article{IJNAM-14-730,
author = {Min Zhang and Shangyou Zhang},
title = {A 3D Conforming-Nonconforming Mixed Finite Element for Solving Symmetric Stress Stokes Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2017},
volume = {14},
number = {4-5},
pages = {730--743},
abstract = {<p style="text-align: justify;">We propose a 3D conforming-nonconforming mixed finite element for solving symmetric
stress Stokes equations. The low-order conforming finite elements are not inf-sup stable. The
low-order nonconforming finite elements do not satisfy the Korn inequality. The proposed finite
element space consists of two conforming components and one nonconforming component. We
prove that the discrete inf-sup condition is valid and the discrete Korn inequality holds uniformly
in the mesh-size. Based on these results we give some numerical verification. In addition, this
element is compared numerically with six other mixed finite elements.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/10058.html}
}