重庆交通大学学报（自然科学版） ›› 1984, Vol. 3 ›› Issue (2): 9-17.
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王磊
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Wang Lei
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摘要： 本文以勒让德多项式(Legendre)作为加权残数法中的试函数。建立1.最小二乘法,2.离散型最小二乘法,3.伽辽金法,4.离散型伽辽金法。由于勒让德多项式具有正交性质、奇偶性质、递推性质等,因此在固体力学中应用,前景美好。
Abstract: This paper takes Legendra polynomials as the trial functions in the weighted residual method, so as to establish: 1. the least-square method, 2. the dispersion type least-square method, 3.Galerkin method, 4.the dispersion type Galerkin method. Due to the fact that there are orthogonal characteristic, odd-even characteristic, recursive characteristic, etc., the outlook of the application of this method is very bright.
王磊. 勒让德-加权残数法[J]. 重庆交通大学学报（自然科学版）, 1984, 3(2): 9-17.
Wang Lei. Legendra-Weighted Residual Method[J]. Journal of Chongqing Jiaotong University(Natural Science), 1984, 3(2): 9-17.
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