Mortar Finite Volume Method with Adini Element for Biharmonic Problem
Chun Jia Bi 1, Li Kang Li 21 Department of Mathematics, Yantai University, Yantai 264005, China
2 Department of Mathematics, Fudan University, Shanghai 200433, China
In this paper, we construct and analyse a mortar finite volume method for the dis- cretization for the biharmonic problem in $R^2$ . This method is based on the mortar-type Adini nonconforming finite element spaces. The optimal order $H^2$-seminorm error estimate between the exact solution and the mortar Adini finite volume solution of the biharmonic equation is established.
Key words: Mortar finite volume method; Adini element; Biharmonic problem.