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Volume 17, Issue 3
Stability Analysis of Finite Element Methods for the Acoustic Wave Equation with Absorbing Boundary Conditions (Part I)

Xiu-Min Shao & Zhi-Ling Lan

J. Comp. Math., 17 (1999), pp. 293-306.

Published online: 1999-06

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  • Abstract

In Part I and Part II of this paper initial-boundary value problems of the acoustic wave equation with absorbing boundary conditions are considered. Their finite element-finite difference computational schemes are proposed. The stability of the schemes is discussed and the corresponding stability conditions are given. Part I and Part II concern the first- and the second-order absorbing boundary conditions, respectively. Finally, numerical results are presented in Part II to show the correctness of theoretical analysis.  

  • Keywords

Stability, Finite element methods, Wave equation, Absorbing boundary conditions.

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-293, author = {Shao , Xiu-Min and Lan , Zhi-Ling}, title = {Stability Analysis of Finite Element Methods for the Acoustic Wave Equation with Absorbing Boundary Conditions (Part I)}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {3}, pages = {293--306}, abstract = {

In Part I and Part II of this paper initial-boundary value problems of the acoustic wave equation with absorbing boundary conditions are considered. Their finite element-finite difference computational schemes are proposed. The stability of the schemes is discussed and the corresponding stability conditions are given. Part I and Part II concern the first- and the second-order absorbing boundary conditions, respectively. Finally, numerical results are presented in Part II to show the correctness of theoretical analysis.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9103.html} }
TY - JOUR T1 - Stability Analysis of Finite Element Methods for the Acoustic Wave Equation with Absorbing Boundary Conditions (Part I) AU - Shao , Xiu-Min AU - Lan , Zhi-Ling JO - Journal of Computational Mathematics VL - 3 SP - 293 EP - 306 PY - 1999 DA - 1999/06 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9103.html KW - Stability, Finite element methods, Wave equation, Absorbing boundary conditions. AB -

In Part I and Part II of this paper initial-boundary value problems of the acoustic wave equation with absorbing boundary conditions are considered. Their finite element-finite difference computational schemes are proposed. The stability of the schemes is discussed and the corresponding stability conditions are given. Part I and Part II concern the first- and the second-order absorbing boundary conditions, respectively. Finally, numerical results are presented in Part II to show the correctness of theoretical analysis.  

Shao , Xiu-Min and Lan , Zhi-Ling. (1999). Stability Analysis of Finite Element Methods for the Acoustic Wave Equation with Absorbing Boundary Conditions (Part I). Journal of Computational Mathematics. 17 (3). 293-306. doi:
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