Mortar Finite Volume Method with Adini Element for Biharmonic Problem

Mortar Finite Volume Method with Adini Element for Biharmonic Problem

Year:    2004

Author:    Chunjia Bi, Likang Li

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 3 : pp. 475–488

Abstract

In this paper, we construct and analyse a mortar finite volume method for the discretization 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JCM-10320

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 3 : pp. 475–488

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Mortar finite volume method Adini element Biharmonic problem.

Author Details

Chunjia Bi

Likang Li