| 利用复合网格进行电磁场分析 |
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| 引用本文： | 王德生,万水.利用复合网格进行电磁场分析[J].东南大学学报,2003,19(1):49-52. |
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| 作者姓名： | 王德生 万水 |
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| 作者单位： | [1]中国科学院数学与系统科学研究院数学研究所，北京100080 [2]东南大学交通学院，南京210096 |
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| 摘 要： | 本描述了对有需要看重分析的局部区域的电磁场进行有限元分析的复合网格法．这种方法基于通常的有限元方法，有总体分析，局部分析和修正后的总体分析3个基本步骤．在前2步中，利用较粗的网格进行总体分析，得到节点的电势，将其作为后续进一步分析的局部区域的人工边界条件．将这些有了边界条件的局部区域用更精细的网格进行分析，得到更为精确的电势与密度分布．在第3步中，进行修正后的总体分析，通过迭代不断改进结果，直到满足给定的求解精度，得到更好的电势与密度分布的结果．数值实验表明，与通常的有限元方法相比，复合网格法在得到同样求解精度的结果时所耗的计算时间要少得多．
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| 关 键 词： | 电磁场分析 复合网格 有限元分析 总体分析 局部分析 电势分布 密度分布 数值计算 |
Composite grid method for analysis of electromagnetic field |
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| Wang Desheng,WAN Shui.Composite grid method for analysis of electromagnetic field[J].Journal of Southeast University(English Edition),2003,19(1):49-52. |
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| Authors: | Wang Desheng WAN Shui |
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| Abstract: | In this paper, a composite grid method (CGM) for finite element (FE) analysis of an electromagnetic field with strong local interest is proposed. The method is based on the regular finite element method in conjunction with three basic steps, i.e. global analysis, local analysis, and modified global analysis. In the first two steps, a coarse finite element mesh is used to analyze the global model to obtain the nodal potentials which are subsequently used as artificial boundary conditions for local regions of interest. These local regions with the prescribed boundary conditions are then analyzed with refined meshes to obtain more accurate potential and density distribution. In the third step, a modified global analysis is performed to obtain more improved solution for potential and density distribution. And iteratively, successively improved solutions can be obtained until the desired accuracy is achieved. Various numerical experiments show that CGM yields accurate solutions with significant savings in computing time compared with the regular finite element method. |
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| Keywords: | composite grid global analysis local analysis |
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