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Sobolev方程的全离散混合有限元法 被引量：2

Fully-discrete Mixed Finite Element Method for Sobolev Equation
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摘要 对Sobolev方程采用混合有限元法求解,给出相应的全离散格式及其误差估计,与已有文献中的有限元方法相比,该方法所采用的变分形式较简单,计算量较小,精度较高。 By introducing the mixed finite element method for Sobolev equation, the corresponding fully-discrete formulation is presented and the error estimates are obtained. Compared to the other finite element methods, this method takes simpler variational formulation, costs less computation and has higher accuracy.
作者 郑克龙 胡劲松
机构地区 西南科技大学理学院 西华大学计算机与数学学院
出处 《四川理工学院学报（自然科学版）》 CAS 2007年第5期63-66,共4页 Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金 四川省教育厅基金资助项目(2006C082)
关键词 混合有限元法 SOBOLEV方程 全离散 误差估计 mixed finite element Sobolev equation fully-discrete error estimates
分类号 O242.21 [理学—计算数学]
  • 相关文献

参考文献4

  • 1赵培忻,陈焕祯.Sobolev方程的特征混合有限元方法[J].应用数学,2003,16(4):50-59. 被引量：7
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二级参考文献9

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共引文献6

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李宏,郭彦.Sobolev方程的特征线混合有限元法[J].内蒙古工业大学学报（自然科学版）,2006,25(1):1-4. 被引量：2
  • 3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
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引证文献2

二级引证文献10

四川理工学院学报（自然科学版）
2007年 第5期

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