We design a family of 2D Hm-nonconforming finite elements using the full P2m-3 degree polynomial space, for solving 2ruth elliptic partial differential equations. The consistent error is estimated and the optimal orde...We design a family of 2D Hm-nonconforming finite elements using the full P2m-3 degree polynomial space, for solving 2ruth elliptic partial differential equations. The consistent error is estimated and the optimal order of conver- gence 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.展开更多
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文摘We design a family of 2D Hm-nonconforming finite elements using the full P2m-3 degree polynomial space, for solving 2ruth elliptic partial differential equations. The consistent error is estimated and the optimal order of conver- gence 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.
