TY - JOUR
T1 - A Canonical Construction of $H^m$-Nonconforming Triangular Finite Elements
AU - Hu , Jun
AU - Zhang , Shangyou
JO - Annals of Applied Mathematics
VL - 3
SP - 266
EP - 288
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20610.html
KW - nonconforming finite element, minimum element, high order
partial differential equation.
AB - <p style="text-align: justify;">We design a family of 2D $H^m$-nonconforming finite elements using the full $P_{2m−3}$ degree polynomial space, for solving $2m$th elliptic partial differential
equations. The consistent error is estimated and the optimal order of convergence is proved. Numerical tests on the new elements for solving tri-harmonic,
4-harmonic, 5-harmonic and 6-harmonic equations are presented, to verify the
theory.</p>