Application of the multilevel field interpolation algorithm to large PEC structures in 2-D

H. Espinosa, A. Heldring, J. Rius
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引用次数: 1

Abstract

The application of the Method of Moments to the analysis of large PEC structures is difficult due to the computational requirements when the structure is discretized in a high number of unknowns. To solve this problem we propose the Multilevel Field Interpolation Algorithm (MLFIA) based on a source domain decomposition that permits a fast matrix-vector multiplication within the iterative solution that reduces the computational complexity and the memory requirements to O(NlogN). The execution of the algorithm is composed of five steps that follow the computation of the field evaluated at a set of evaluation points within the observation domain, the extraction of the Green's function, the interpolation of the fields, the restoration of the Green's function and finally the aggregation of the fields. The algorithm is applied to the fast solution of 2D problems. The generalization to 3D problems is straightforward.
二维多能级场插值算法在大型PEC结构中的应用
矩量法在分析大型PEC结构时,由于结构在大量未知量中离散化,计算量的限制,使其难以应用于分析。为了解决这个问题,我们提出了基于源域分解的多级场插值算法(MLFIA),该算法允许在迭代解内快速进行矩阵向量乘法,从而将计算复杂度和内存需求降低到O(NlogN)。该算法的执行分为五个步骤,即在观测域内的一组评价点处计算场,提取格林函数,插值场,恢复格林函数,最后对场进行聚合。该算法应用于二维问题的快速求解。将其推广到三维问题很简单。
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