Volume 22, Issue 3
Mortar Finite Volume Method with Adini Element for Biharmonic Problem
DOI:

J. Comp. Math., 22 (2004), pp. 475-488

Published online: 2004-06

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• Abstract

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.

• Keywords

Mortar finite volume method Adini element Biharmonic problem

@Article{JCM-22-475, author = {}, title = {Mortar Finite Volume Method with Adini Element for Biharmonic Problem}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {3}, pages = {475--488}, abstract = { 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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10320.html} }
TY - JOUR T1 - Mortar Finite Volume Method with Adini Element for Biharmonic Problem JO - Journal of Computational Mathematics VL - 3 SP - 475 EP - 488 PY - 2004 DA - 2004/06 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10320.html KW - Mortar finite volume method KW - Adini element KW - Biharmonic problem AB - 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.