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基于分离变量的多尺度数值模拟方法

The Multi-scale Numerical Simulation Based on the Separated Variables
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摘要 通过基于变系数可分离变量情形下限定扰动边界条件求解子问题,使多尺度基函数能很好地捕获模型问题的微观信息;该数值模拟方法仅在粗网格水平即可得到精确、收敛的结果。研究表明,运用多尺度有限元法进行复杂的多尺度数值模拟,既可节约计算资源又能保证计算的精度。 Based on the separated variables coefficients we refine the oscillatory boundary condition in the sub-problem. The corresponding multi-scale basis functions can capture the microcosmic information of the model problem. The numerical simulation method is able to obtain accurate and convergent results on the coarse grids easily, and can not only reduce the computational costs, but also ensure the computational accuracy.
作者 孙美玲 江山
机构地区 南通职业大学教育技术中心 扬州大学数学科学学院
出处 《南通职业大学学报》 2011年第4期75-77,共3页 Journal of Nantong Vocational University
基金 国家自然科学基金数学天元基金资助项目(11026113)
关键词 多尺度数值模拟 多尺度基函数 分离变量 有限元法 multi-scale numerical simulation multi-scale basis functions separated variables finite element method
分类号 O241.82 [理学—计算数学]
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参考文献7

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南通职业大学学报
2011年 第4期

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