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| A CANONICAL CONSTRUCTION OF $H^m$-NONCONFORMING TRIANGULAR FINITE ELEMENTS |
| Jun Hu,Shangyou Zhang |
| (LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, PR China;Dept. of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA) |
| DOI： |
| Abstract: |
| We design a family of 2D Hm-nonconforming finite elements using the full P2m-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. |
| Key words: nonconforming finite element; minimum element; high order partial differential equation |