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 $H^m$-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.
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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.