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 - <p style="text-align: justify;">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. &nbsp;</p>