Recent Advances in the Method of Weighted Residuals on Solid Mechanics in China

Xu Ci-da

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Xu Ci-da. Recent Advances in the Method of Weighted Residuals on Solid Mechanics in China[J]. Applied Mathematics and Mechanics, 1982, 3(6): 737-742.

Citation:

Xu Ci-da. Recent Advances in the Method of Weighted Residuals on Solid Mechanics in China[J]. Applied Mathematics and Mechanics, 1982, 3(6): 737-742.

Citation:

Xu Ci-da. Recent Advances in the Method of Weighted Residuals on Solid Mechanics in China[J]. Applied Mathematics and Mechanics, 1982, 3(6): 737-742.

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Recent Advances in the Method of Weighted Residuals on Solid Mechanics in China

Xu Ci-da

Department of Mathematics and Mechanics, Tongji University, Shanghai

Received Date: 1982-02-01
Publish Date: 1982-12-15

Abstract

Abstract

This paper presents a review of research work in recent years on the method of weighted residuals (MWR) on solid mechanics in the People's Republic of China. MWR, as a kind of mathematical method by which approximate solutions of differential equations may be obtained, is being extensively used in the fields of fluid mechanics, heat transfer, etc. In China,prompted by needs, this method has been developed to be used on solid mechanics in recent years and has also been recognized as having merits over other methods.

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References(21)

References

[1]	Finlayson,B,A.,The Method of Weighted Residuals and Variatianal Principles with Application in Fluid Mechanics,Heat and Mass Transfer,Academic Press,(1972).
[2]	Finlwyson,B,A,and L,E,Serven,The method of weighted residuals-a review Applied Mechanics Review,19,9,(1966).
[3]	Eason,E,D.,A review of least-squares methods for solm ng partial differential equations,Inter Jour,of Numerfead Methods :n Engg,1p,(1976),1021-1046.
[4]	徐次达,加权残数法解固体力学问题,力学与实践,2,4,(1980).
[5]	徐次达.施德芳,离散型最小二乘洪分析薄板强度,力学学报,4,(1981,7).
[6]	Timoshenko,S,P,and S,Woinowsky-Krieger,Theory of Plates and Shells,McGraw-Hill Book,Comp,Inc (1959).
[7]	徐次达,郑瑞芳,施德芳,最小二乘配点法解薄板弯曲问题,上海力学,1.2,(1980).
[8]	何广乾,张维岳,用最小二乘边界配点法按有矩理论分析双曲抛物面扭壳,土木工程学报,13,1,(1980.9) 1-22.
[9]	薛德明,唐锦春,郭鼎康,加权残值法分析圆柱网壳内力,1980年全国计算力学学术交流会会议论文.
[10]	徐文焕,陈虬,最小二乘边界配点法解平面问题,1980年全国计算力学学术交流会会议论文.
[11]	陈虬,弹性力学三维问题的最小二乘解法,1980年全国计算力学学术交流会会议论文.
[12]	邱吉宝,方差泛函变分与高斯配点离散型最小二乘法,1980年全国计算力学学术交流会会议论文.
[13]	王磊,加权残数法及试函数,湖南大学学报,3,(1981),1-22.
[14]	秦荣,样条加权残数法,广西力学学会(1981,3).
[15]	秦荣,样条能最配点法,广西力学学会(1981,3).
[16]	焦兆平,解弹性薄板弯曲方程的样条函数最小二乘配点汇:合肥工业大学项士学位论文(1981,9).
[17]	陈子棨,梁函数用于加权残数法解薄板小挠度及大挠度弯曲问题,同济大学硕士学位论文,(1981,10).
[18]	A,C.,沃耳密尔,《柔韧板与柔韧壳》,科学出版社(1963).(原著为Волмир,А,С.,Гибкие Пластиики и Оболочки,Гостехиздат Масква(1956).)
[19]	谷芬毓,用最小二乘法配置有限元,二机部一院二所,1980全国计算力学学术交流会会议论文.
[20]	金瑞椿,加权余量法和一种高精度逐步积分格式,同济大学硕士学位论文,(1981,6).
[21]	赵祖武,加权余量法在有限条元法中的应用,天津大学,1980年全国计算力学学术交流会会议论文.