论文标题
具有完美匹配层（IGAPML）的声学散射的等几何分析
Isogeometric Analysis of Acoustic Scattering with Perfectly Matched Layers (IGAPML)
论文作者
论文摘要
完美匹配的层（PML）公式是处理无限域中辐射问题的一种突出方法，并且由于其在有限元代码中的简单实现而引起了兴趣。但是，可以使用ISOOGETRIT框架进一步提高其简单性。这项工作提出了基于样条的PML公式，该公式避免了额外的坐标转换，因为该公式基于寻求数值解的相同空间。对于任何凸人造边界，该过程都可以自动化。这可以消除使用PML对域构建的限制，因此可以降低计算成本并提高网格质量。样条基基函数具有较高的连续性也提高了数值解决方案的准确性。
The perfectly matched layer (PML) formulation is a prominent way of handling radiation problems in unbounded domain and has gained interest due to its simple implementation in finite element codes. However, its simplicity can be advanced further using the isogeometric framework. This work presents a spline based PML formulation which avoids additional coordinate transformation as the formulation is based on the same space in which the numerical solution is sought. The procedure can be automated for any convex artificial boundary. This removes restrictions on the domain construction using PML and can therefore reduce computational cost and improve mesh quality. The usage of spline basis functions with higher continuity also improves the accuracy of the numerical solution.
