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

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 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.

• Keywords

Mortar finite volume method, Adini element, Biharmonic problem.

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@Article{JCM-22-475, author = {Chunjia Bi , and Likang Li , }, 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 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.

}, 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 AU - Chunjia Bi , AU - Likang Li , 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, Adini element, Biharmonic problem. AB -

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.

Chunjia Bi & Likang Li. (1970). Mortar Finite Volume Method with Adini Element for Biharmonic Problem. Journal of Computational Mathematics. 22 (3). 475-488. doi:
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