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Sobolev方程的特征线混合有限元法 被引量:2

USING CHARACTERISTICS METHOD AND MIXED FINITE ELEMENT METHOD FOR SOLVING SOBOLEV EQUATIONS
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摘要 利用特征线方法与混合有限元方法相结合的技巧,研究一维Sobo lev方程,考虑全离散特征线混合有限元解的相关性质,证明了解的存在唯一性和稳定性. The characteristics method and mixed finite element are combined for the solution of Sobolev equations in one dimension,Propertics of the discrete solution worked out by these two methods are studied and the existence.uniqueness and stability of the solution are proved.
作者 李宏 郭彦
出处 《内蒙古工业大学学报(自然科学版)》 2006年第1期1-4,共4页 Journal of Inner Mongolia University of Technology:Natural Science Edition
基金 国家自然科学基金数学天元基金A0324652 内蒙古自然科学基金200308020101 内蒙古大学博士科研启动项目
关键词 SOBOLEV方程 特征线混合有限元方法 存在唯一性 稳定性 Sobolev equation characteristics method mixed finite element method existence uniqueness stability
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参考文献8

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同被引文献17

  • 1LI,Hong(李宏),LIU,Ru-xun(刘儒勋).THE SPACE-TIME FINITE ELEMENT METHOD FOR PARABOLIC PROBLEMS[J].Applied Mathematics and Mechanics(English Edition),2001,22(6):687-700. 被引量:5
  • 2郭玲,陈焕贞.Sobolev方程的H^1-Galerkin混合有限元方法[J].系统科学与数学,2006,26(3):301-314. 被引量:54
  • 3郑克龙,胡劲松.Sobolev方程的全离散混合有限元法[J].四川理工学院学报(自然科学版),2007,20(5):63-66. 被引量:2
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