Voxel-based Analysis of Electrostatic Fields inVirtual-human Model Duke using Indirect BoundaryElement Method with Fast Multipole Method
Voxel-based Analysis of Electrostatic Fields inVirtual-human Model Duke using Indirect BoundaryElement Method with Fast Multipole Method
复制标题
使用间接边界元法和快速多极法对虚拟人模型 Duke 中的静电场进行基于体素的分析
DOI：
10.3970/cmes.2014.102.407
复制
发表时间：
2014
影响因子：
2.4
通讯作者：
S. Hamada
中科院分区：
文献类型：
--
作者：
S. Hamada
基于体素的间接边界元法（IBEM）与拉普拉斯核快速多极子法（FMM）相结合，能够分析比较大规模的问题。IBEM的一个典型应用是在虚拟人体模型中进行电场分析，例如由社会信息技术研究基金会（IT 'IS foundation）提供的杜克模型。体素版本Duke模型的一个重要特性是它们具有不同的体素大小，但具有相同的结构特征。这个属性对于检查计算时间的O(N)和O（D2）依赖关系以及FMM-IBEM所需的内存量非常有用，其中N和D分别是边界元素的数量和体素边长度的倒数。本文通过分析体素侧长度分别为5.0、2.0、1.0和0.5 mm的Duke模型，证实了相关性。最好的模型有22亿个体素和6100万个平方元素。此外，提出了一种考虑电势非唯一性的线性方程求解器收敛性能的方法，并对其有效性进行了验证。
The voxel-based indirect boundary element method (IBEM) combined with the Laplace-kernel fast multipole method (FMM) is capable of analyzing relatively large-scale problems. A typical application of the IBEM is the electric field analysis in virtual-human models such as the model called Duke provided by the foundation for research on information technologies in society (IT’IS Foundation). An important property of voxel-version Duke models is that they have various voxel sizes but the same structural feature. This property is useful for examining the O(N) and O(D2) dependencies of the calculation times and the amount of memory required by the FMM-IBEM, where N and D are the number of boundary elements and the reciprocal of the voxel-side length, respectively. In this paper, the dependencies were confirmed by analyzing Duke models with voxel-side lengths of 5.0, 2.0, 1.0, and 0.5 mm. The finest model had 2.2 billion voxels and 61 million square elements. In addition, a technique that improves the convergence performance of the linear equation solver by considering the non-uniqueness of the electric potential is proposed, and its effectiveness is demonstrated.
影响因子：
3.5
作者：
Christ, Andreas;Kainz, Wolfgang;Kuster, Niels
通讯作者：
Kuster, Niels