Stability Analysis of Finite Element Methods for the Acoustic Wave Equation with Absorbing Boundary Conditions (Part I)
Year: 1999
Author: Xiu-Min Shao, Zhi-Ling Lan
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9103
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 3 : pp. 293–306
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Stability Finite element methods Wave equation Absorbing boundary conditions.