Subgrid Modeling for the Helmholtz Equation: Improvements, Comparisons and Three - Dimensional Results

机译：Helmholtz方程的底图建模：改进，比较和三维结果

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Previously introduced subgrid models for the finite element solution of the Helmholtz equation in three dimensions are improved and numerically tested. The improvements result primarily from the analytic computation of a constant previously found numerically. At mesh refinements of greatest engineering interest, corresponding to four to twenty nodes per wavelength, the subgrid models outperform the alternatives examined here. The models appear to suppress the element dispersion error significantly as the wave number - element diameter product increases. The models do not adversely impact system matrix storage, symmetry, or bandwidth, can be useful for structured or unstructured meshes, do not require the solution of any auxiliary boundary value problems, and have minimal marginal overall computational cost.

机译：以前引入了用于三维亥姆霍兹方程的有限元件的子射线模型，并在数值上进行了数值测试。改进主要来自以前发现的恒定的分析计算。在最大工程兴趣的网格改进，对应于每个波长的四到二十个节点，SubGrid模型优于此处检查的替代方案。随着波数 - 元件直径产品增加，模型显着抑制了元素色散误差。该模型不会对系统矩阵存储，对称性或带宽产生不利影响，可以对结构化或非结构化网格有用，不需要解决任何辅助边界值问题，并且具有最小的边际整体计算成本。

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《International Congress on Sound and Vibration》|2003年||共8页
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Jeffrey Cipolla;
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Subgrid Modeling for the Helmholtz Equation: Improvements, Comparisons and Three - Dimensional Results

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