求解带尖角区域声波散射问题的三种数值处理方法

摘要

通过单双层位势在尖角处的跳跃关系建立了形式较为简单的边界积分方程，然后再分别利用指数变换、周期变换和Kress 变换三种方法对带尖角的区域进行处理，并通过数值算例对这几种方法的求解结果进行了分析比较，最后得出周期变换效果最佳。%　　Using single and double-layer potentials′ the jump relation at sharp corner build a simple boundary integral equation. Three kinds of methods which are exponential transformation, periodic transformation and Kress transformation are used to process the sharp region. Numerical example is given and the results show that periodic transformation is best.