The inclusion of domain (point) sources into a three dimensional boundary element method while solving the Helmholtz equation is described. The method is fully desingularized which allows for the use of higher order quadratic elements on the surfaces of the problem with ease. The effect of the monopole sources ends up on the right hand side of the resulting matrix system. Several carefully chosen examples are shown, such as sources near and within a concentric spherical core-shell scatterer as a verification case, a curved focusing surface and a multi-scale acoustic lens.
翻译:说明在解决赫尔姆霍尔茨方程式时将域(点)源纳入三维边界要素方法的情况。该方法被完全淡化,便于在问题表面使用更高顺序的二次元素。单极源的影响最终出现在由此形成的矩阵系统的右侧。一些精心选择的例子,例如同心球核心散射器附近和内部的源,作为核查案例,一个弯曲的聚焦表面和一个多尺度的声学透镜。