Local absorbing boundary conditions for nonlinear wave equation on unbounded domain
Hongwei LiDepartment of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong, People's Republic of China. [email protected]Xiaonan WuDepartment of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong, People's Republic of ChinaJiwei ZhangDepartment of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong, People's Republic of China
2011en
ABI
Abstract
The numerical solution of the nonlinear wave equation on unbounded spatial domain is considered. The artificial boundary method is introduced to reduce the nonlinear problem on unbounded spatial domain to an initial boundary value problem on a bounded domain. Using the unified approach, which is based on the operator splitting method, we construct the efficient nonlinear local absorbing boundary conditions for the nonlinear wave equation, and give the stability analysis of the resulting boundary conditions. Finally, several numerical examples are given to demonstrate the effectiveness of our method.
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Cited by 30 references