@Article{AAM-33-266, author = {Hu , Jun and Zhang , Shangyou}, title = {A Canonical Construction of $H^m$-Nonconforming Triangular Finite Elements}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {3}, pages = {266--288}, abstract = {

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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20610.html} }