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Optimum mesh grading for finite-difference method

机译:有限差分法的最佳网格分级

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摘要

The coarseness error of the finite-difference (FD) method is studied analyzing a typical planar waveguide and a rectangular coaxial geometry. Results for equidistant and graded mesh are compared in terms of accuracy and numerical efforts. Because of the field singularities involved a graded mesh proves to be superior compared to the equidistant case. A grading strategy with optimum efficiency is presented. Furthermore, the results show that the most significant improvement in accuracy can be obtained by incorporating the edge behavior into the FD scheme.
机译:通过分析典型的平面波导和矩形同轴几何形状,研究了有限差分(FD)方法的粗糙度误差。比较了等距渐变网格的结果的准确性和数值效果。由于涉及场奇异性,与等距情况相比,渐变网格被证明是优越的。提出了具有最佳效率的分级策略。此外,结果表明,通过将边缘行为纳入FD方案,可以最大程度地提高精度。

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