A Canonical Construction of Hm-Nonconforming Triangular Finite Elements
Year: 2017
Author: Jun Hu, Shangyou Zhang
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 3 : pp. 266–288
Abstract
We design a family of 2D Hm-nonconforming finite elements using the full P2m−3 degree polynomial space, for solving 2mth 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20610
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 3 : pp. 266–288
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: nonconforming finite element minimum element high order partial differential equation.
Author Details
Jun Hu Email
Shangyou Zhang Email