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THE PROBLEM ABOUT NECESSARY AND SUFFICIENT CONDITION FOR THE METHOD OF WEIGHTED RESIDUALS AND THE SELECTION OF WEIGHTED FUNCTIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(3): 332-338. DOI: 10.6052/0459-1879-1991-3-1995-845
Citation: THE PROBLEM ABOUT NECESSARY AND SUFFICIENT CONDITION FOR THE METHOD OF WEIGHTED RESIDUALS AND THE SELECTION OF WEIGHTED FUNCTIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(3): 332-338. DOI: 10.6052/0459-1879-1991-3-1995-845
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THE PROBLEM ABOUT NECESSARY AND SUFFICIENT CONDITION FOR THE METHOD OF WEIGHTED RESIDUALS AND THE SELECTION OF WEIGHTED FUNCTIONS

  • 北京交通大学土木建筑工程学院,北京100044

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  • 本文论证了偏微分方程初-边值混合问题的加权残值方程的充要性条件和有关定理。关于充要性条件的讨论也为正确选择解析函数作为权函数,建立充要的加权残值方程提供了理论指导。重点讨论了边界积分方程的充要性。指出了两种满足充要条件的权函数和相应的边界积分方程。
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