离散偶极子近似的收敛性。II。一种外推技术,
Convergence of the discrete dipole approximation. II. An extrapolation technique to increase the accuracy
摘要:
我们提出了一种外推技术,允许离散偶极子近似计算的精度提高。该技术的性能进行了实证研究的基础上广泛的模拟5个测试用例,使用许多不同的离散化。外推的质量随着细化离散化而提高,特别是对于立方体形状的颗粒达到非凡的性能。实验结果表明,该方法误差减小了两个数量级.我们还提出了外推误差的估计,这被证明是可靠的。最后,我们提出了一个简单的方法,直接分离形状和离散化错误,并说明了这一测试用例。
英文摘要:
We propose an extrapolation technique that allows accuracy improvement of the discrete dipole approximation computations. The performance of this technique was studied empirically based on extensive simulations for 5 test cases using many different discretizations. The quality of the extrapolation improves with refining discretization reaching extraordinary performance especially for cubically shaped particles. A two order of magnitude decrease of error was demonstrated. We also propose estimates of the extrapolation error, which were proven to be reliable. Finally we propose a simple method to directly separate shape and discretization errors and illustrated this for one test case.
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