| 杨一都,石济民,林振宝.关于Ciarlet-Raviart混合有限元法的一个注记(英文)[J].数学研究及应用,1999,19(1):37~43 |
| 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 |
| 投稿时间：1996-02-24 |
| DOI：10.3770/j.issn:1000-341X.1999.01.005 |
| 中文关键词: |
| 英文关键词:mixed finite element Ciarlet-Raviart scheme. |
| 基金项目: |
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| 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. |
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