一种对角偏移算法的多项式点插值方法

Communications in Numerical Methods in Engineering Pub Date : 2007-11-19 DOI:10.1002/CNM.1076

B. Kanber, Ö. Bozkurt

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引用次数: 3

摘要

针对多项式点插值法中的奇异矩矩阵问题，提出了一种对角偏移算法。矩矩阵对角线上的项的值随着偏移量的不同而变化。研究了偏移量对Kronecker函数和单位性质划分的影响，提出了最优偏移量范围。通过对一些补丁测试和二维弹性问题的求解，验证了该算法的有效性。结果表明，该算法易于实现，完全解决了奇异矩矩阵问题。研究了该方法在规则局部域和不规则局部域的精度。版权所有©2007 John Wiley & Sons, Ltd

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A diagonal offset algorithm for the polynomial point interpolation method

A diagonal offset algorithm is presented to overcome the singular moment matrix problem in the polynomial point interpolation method. The value of terms in the diagonal line of moment matrix is changed with different offsets. The effects of the offsets on the Kronecker delta function and partition of unity properties are investigated and an optimum offset range is proposed. The algorithm is validated solving some patch tests and various elasticity problems in 2-D domain. Their results demonstrate that the proposed algorithm is very easy to implement and completely solves the singular moment matrix problem. The accuracy of the method with proposed algorithm is investigated for regular and irregular local domains. Copyright © 2007 John Wiley & Sons, Ltd.

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Communications in Numerical Methods in Engineering

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