基于间断伽辽金时域方法的波动方程GPU并行化

Z. Ban, Yan Shi
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引用次数: 1

摘要

本文提出了一种基于亥姆霍兹矢量波动方程的GPU加速改进间断伽辽金时域格式(GPU DGTD-WE)。通过将有限元网格映射到CUDA多层并行架构,并进行一些优化操作,可以获得良好的加速性能。利用全局坐标中矩阵与局部坐标中通用矩阵之间的矩阵投影,可以获得较高的存储压缩率,从而实现大规模电磁问题的高效求解。最后给出了衬底集成波导滤波器和弹载微带贴片天线阵列的数值算例,验证了该方法的良好性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
GPU Parallelization of Wave Equation Based Discontinuous Galerkin Time Domain Method
In this paper, a GPU-accelerated improved discontinuous Galerkin time domain scheme based on Helmholtz vector wave equation (GPU DGTD-WE) has been proposed. By mapping FEM meshes to CUDA multi-layer parallel architectures and implementing some optimization operations, good acceleration performance can be obtained. By using matrix projection between the matrices in the global coordinates to universal matrices in local ones, high memory compression rate can be achieved for highly efficient solution of large-scale EM problems. Numerical examples including a substrate integrated waveguide filter and a missile-loaded microstrip patch antenna array are given to demonstrate the good performance of the proposed method.
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