In this paper, a variant of Ciarlet-Raviart mixed finite element scheme for solving the biharmonic equation is introduced, in which linear and quadratic elements are used for approximating the vorticity -△φ and the ...In this paper, a variant of Ciarlet-Raviart mixed finite element scheme for solving the biharmonic equation is introduced, in which linear and quadratic elements are used for approximating the vorticity -△φ and the stream function φ, respectively.Under the conditions that triangulation is quasi-uniform, it is proved that the scheme has the same order of accuracy as the standard Ciarlet-Raviart scheme using quadratic finite elements.展开更多
文摘In this paper, a variant of Ciarlet-Raviart mixed finite element scheme for solving the biharmonic equation is introduced, in which linear and quadratic elements are used for approximating the vorticity -△φ and the stream function φ, respectively.Under the conditions that triangulation is quasi-uniform, it is proved that the scheme has the same order of accuracy as the standard Ciarlet-Raviart scheme using quadratic finite elements.
