Volume 22, Issue 3
The Artificial Boundary Conditions for Numerical Simulations of the Complex Amplitude in a Coupled Bay-River System

Hou-de Han & Xin Wen

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J. Comp. Math., 22 (2004), pp. 407-426

Published online: 2004-06

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  • Abstract

We consider the numerical approximations of the complex amplitude in a coupled bay-river system in this work. One half-circumference is introduced as the artificial boundary in the open sea, and one segment is introduced as the artificial boundary in the river if the river is semi-infinite. On the artificial boundary a sequence of high-order artificial boundary conditions are proposed. Then the original problem is solved in a finite computational domain, which is equivalent to a variational problem. The numerical approximations for the original problem are obtained by solving the variational problem with the finite element method. The numerical examples show that the artificial boundary conditions given in this work are very effective.

  • Keywords

Coupled bay-river system Complex amplitude Artificial boundary conditions Finite element method

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@Article{JCM-22-407, author = {}, title = {The Artificial Boundary Conditions for Numerical Simulations of the Complex Amplitude in a Coupled Bay-River System}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {3}, pages = {407--426}, abstract = { We consider the numerical approximations of the complex amplitude in a coupled bay-river system in this work. One half-circumference is introduced as the artificial boundary in the open sea, and one segment is introduced as the artificial boundary in the river if the river is semi-infinite. On the artificial boundary a sequence of high-order artificial boundary conditions are proposed. Then the original problem is solved in a finite computational domain, which is equivalent to a variational problem. The numerical approximations for the original problem are obtained by solving the variational problem with the finite element method. The numerical examples show that the artificial boundary conditions given in this work are very effective. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10315.html} }
TY - JOUR T1 - The Artificial Boundary Conditions for Numerical Simulations of the Complex Amplitude in a Coupled Bay-River System JO - Journal of Computational Mathematics VL - 3 SP - 407 EP - 426 PY - 2004 DA - 2004/06 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10315.html KW - Coupled bay-river system KW - Complex amplitude KW - Artificial boundary conditions KW - Finite element method AB - We consider the numerical approximations of the complex amplitude in a coupled bay-river system in this work. One half-circumference is introduced as the artificial boundary in the open sea, and one segment is introduced as the artificial boundary in the river if the river is semi-infinite. On the artificial boundary a sequence of high-order artificial boundary conditions are proposed. Then the original problem is solved in a finite computational domain, which is equivalent to a variational problem. The numerical approximations for the original problem are obtained by solving the variational problem with the finite element method. The numerical examples show that the artificial boundary conditions given in this work are very effective.
Hou-de Han & Xin Wen. (1970). The Artificial Boundary Conditions for Numerical Simulations of the Complex Amplitude in a Coupled Bay-River System. Journal of Computational Mathematics. 22 (3). 407-426. doi:
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