The 14-parameter nonconforming tetrahedral finite element for fourth order elliptic equations. (English) Zbl 1208.35038
Summary: This paper presents the 14-parameter nonconforming tetrahedral element for the discretization of fourth order elliptic partial differential operators in three spatial dimensions. The newly constructed element is proved to be convergent for a model biharmonic equation in three dimensions.
MSC:
| 35J30 | Higher-order elliptic equations |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 65N12 | Stability and convergence of numerical methods for boundary value problems involving PDEs |
