解声波散射问题的一种优化PML方法

摘要

提出一种解声波散射问题的优化完全匹配层(PML)方法,该方法通过选取一类特殊的吸收函数构造散射问题的PML.结果表明,只要适当选取足够小的参数ε0,计算精度不依赖于PML的厚度δ；对于给定的厚度δ,通过选择参数ε0可提高计算精度.数值计算结果表明了该方法的有效性和准确性.%We developed an optimal perfectly matched layer (opt PML) technique for solving the time harmonic scattering problems by choosing a particular absorbing function. With this choice, the solution of the optimal PML problem is independent of the thickness of the PML absorbing layer for a parameter little enough. The accuracy can be improved by choosing proper ε0 for a given δ. Numerical experiments illustrate the competitive behavior of the proposed optimal method.