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Volume 3, Issue 2
Approximation of Infinite Boundary Condition and Its Application to Finite Element Methods

Hou-De Han & Xiao-Nan Wu

J. Comp. Math., 3 (1985), pp. 179-192.

Published online: 1985-03

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  • Abstract

The exterior boundary value problems of Laplace equation and linear elastic equations are considered. A series of approximate infinite boundary conditions are given. Then the original problem is reduced to a boundary value problem on a bounded domain. The finite element approximation of this problem and its error estimate are obtained. Finally, a numerical example shows that this method is very effective.

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@Article{JCM-3-179, author = {}, title = {Approximation of Infinite Boundary Condition and Its Application to Finite Element Methods}, journal = {Journal of Computational Mathematics}, year = {1985}, volume = {3}, number = {2}, pages = {179--192}, abstract = {

The exterior boundary value problems of Laplace equation and linear elastic equations are considered. A series of approximate infinite boundary conditions are given. Then the original problem is reduced to a boundary value problem on a bounded domain. The finite element approximation of this problem and its error estimate are obtained. Finally, a numerical example shows that this method is very effective.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9615.html} }
TY - JOUR T1 - Approximation of Infinite Boundary Condition and Its Application to Finite Element Methods JO - Journal of Computational Mathematics VL - 2 SP - 179 EP - 192 PY - 1985 DA - 1985/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9615.html KW - AB -

The exterior boundary value problems of Laplace equation and linear elastic equations are considered. A series of approximate infinite boundary conditions are given. Then the original problem is reduced to a boundary value problem on a bounded domain. The finite element approximation of this problem and its error estimate are obtained. Finally, a numerical example shows that this method is very effective.

Hou-De Han & Xiao-Nan Wu. (1970). Approximation of Infinite Boundary Condition and Its Application to Finite Element Methods. Journal of Computational Mathematics. 3 (2). 179-192. doi:
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