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《计算数学(英文版)》 1999-03
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STABILITY ANALYSIS OF FINITE ELEMENT METHODS FOR THE ACOUSTIC WAVE EQUATION WITH ABSORBINGBOUNDARY CONDITIONS (PART I)

Xiu-min Shao;Zhi-ling Lan(Institute of Mathematics, Academy of Sciences, Beijing 100080, China)  
In Part I and Part II of this paper initial-boundary value problems of theacoustic wave equation with absorbing boundary conditions are considered. Theirfinite element-finite difference computational schemes are proposed. The stabilityof the schemes is discussed and the corresponding stability conditions are given.Part I and Part II concern the first-and the second-order absorbing boundaryconditions, respectively. Finally, numerical results are presented in Part II to showthe correctness of theoretical analysis.
【CateGory Index】: O241
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