关于Ciarlet-Raviart混合有限元法的一个注记(英文)

A Remark on Ciarlet-Raviart Mixed Finite Element Method

英文关键词:mixed finite element  Ciarlet-Raviart scheme.

中文摘要:

      本文推广解双调合方程的Ciarlet-Raviart混合有限元方案：用二次元逼近流函数φ．一次元逼近涡度-Δφ．在拟一致三角形剖分的条件下，证明了推广方案具有φ和-Δφ都用二次元逼近的标准Ciarlet－Raviart方案同样的精度阶．

英文摘要:

      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.