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The control-theory-based artificial boundary conditions for time-dependent wave guide problems in unbounded domain
Liu, TY ; Li, QB
2010-05-11 ; 2010-05-11
关键词artificial boundary condition wave equation control theory unbounded domain EQUATION Engineering, Multidisciplinary Mathematics, Interdisciplinary Applications
中文摘要A method is proposed to obtain the high-performance artificial boundary conditions for solving the time-dependent wave guide problems in an unbounded domain. Using the variable separation method, it is possible to reduce the spatial variables of the wave equation by one. Furthermore, introducing auxiliary functions makes the reduced wave equation a linear first-order ordinary differential system with one control input. Solving the closed-loop control system, a stable and accurate artificial boundary condition is obtained in a rigorous mathematical manner. Numerical examples have demonstrated the effectiveness of the proposed artificial boundary conditions for the time-dependent wave guide problems in unbounded domain. Copyright (c) 2005 John Wiley & Sons, Ltd.
语种英语 ; 英语
出版者JOHN WILEY & SONS LTD ; CHICHESTER ; THE ATRIUM, SOUTHERN GATE, CHICHESTER PO19 8SQ, W SUSSEX, ENGLAND
内容类型期刊论文
源URL[http://hdl.handle.net/123456789/27341]  
专题清华大学
推荐引用方式
GB/T 7714
Liu, TY,Li, QB. The control-theory-based artificial boundary conditions for time-dependent wave guide problems in unbounded domain[J],2010, 2010.
APA Liu, TY,&Li, QB.(2010).The control-theory-based artificial boundary conditions for time-dependent wave guide problems in unbounded domain..
MLA Liu, TY,et al."The control-theory-based artificial boundary conditions for time-dependent wave guide problems in unbounded domain".(2010).
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