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.