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The control-theory-based artificial boundary conditions for time-dependent wave guide problems in unbounded domain

✍ Scribed by Liu, Tianyun ;Li, Qingbin

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 242 KB
Volume: 21
Category: Article
ISSN: 1069-8299
DOI: 10.1002/cnm.782

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✦ Synopsis

A method is proposed to obtain the high-performance artiÿcial 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 ÿrst-order ordinary di erential system with one control input. Solving the closed-loop control system, a stable and accurate artiÿcial boundary condition is obtained in a rigorous mathematical manner. Numerical examples have demonstrated the e ectiveness of the proposed artiÿcial boundary conditions for the time-dependent wave guide problems in unbounded domain.

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