| 基于基本解离散的一维样条边界元矩阵表示 |
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| 引用本文： | 江隆植.基于基本解离散的一维样条边界元矩阵表示[J].合肥工业大学学报(自然科学版),1993(1). |
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| 作者姓名： | 江隆植 |
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| 摘 要： | 本文对奇异基本解做一特殊处理,得到次基本解,然后对边界量和次基本解均采用样条函数逼近,积分方程组的离散型式用矩阵乘积表示,而每一矩阵物理概念简明,易于组装,在一定程度上克服了边界元法计算费时的弱点,这为优化及非线性问题的解决提供了有效的途径。
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| 关 键 词： | 积分方程 矩阵表示 样条插值 |
MATRIX REPRESENTATION OF ONE-DIMENSIONAL SPLINE BOUNDARY ELEMENT BASED ON THE INTERPOLATION OF FUNDAMENTAL SOLUTIONS |
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| Jiang Langzhi.MATRIX REPRESENTATION OF ONE-DIMENSIONAL SPLINE BOUNDARY ELEMENT BASED ON THE INTERPOLATION OF FUNDAMENTAL SOLUTIONS[J].Journal of Hefei University of Technology(Natural Science),1993(1). |
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| Authors: | Jiang Langzhi |
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| Institution: | Jiang Langzhi |
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| Abstract: | The singular fundamental solutions would be treated in special way to obtain non-singular function called as Hypo-fundamental solutions. By using the interpolation of spline functions, we derived the discrete formulation of groups of integral equations which is represented by the product of some matrices with concise concept and convenient formation. The algorithm saves CPU time highly enough to provide an effective way in solving the optimization and some non-linear problems. |
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| Keywords: | integral equation matxix representation interpolation of spline functions |
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