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四阶线性抛物型积分-微分方程的混合间断时空有限元法 被引量:1

The Mixed Discontinuous Space-time Finite Element Method for the Fourth Order Linear Parabolic Integro-differential Equations
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摘要 构造四阶抛物型积分-微分方程的混合间断时空有限元格式,利用混合有限元方法将高阶方程降阶,利用空间连续而时间允许间断的时空有限元方法离散方程,证明离散解的稳定性,存在唯一性和收敛性. We construct the mixed discontinuous space-time finite element method for fourth order parabolic integro differential problems. Lower the order of the equation by mixed finite element method. And discretize the equation by space-time finite element od, continuou ror estlnlates s in space but discontinuous in time. The stability, uniqueness and existence, er of the approximate solution are proved.
出处 《应用数学》 CSCD 北大核心 2008年第3期424-429,共6页 Mathematica Applicata
基金 国家自然科学基金(10601022) 内蒙古自然科学基金(200607010106,200607010806)
关键词 四阶线性抛物型积分-微分方程 混合有限元法 时间间断时空有限元法 Fourth order met hod Space time finite elem parabolic integro-differential ent method discontinuous in problems Mixed finite element
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参考文献9

  • 1Johnson C, Saraen J. Slreamline diffusion methods for problems in fluid mechanics[J]. Math. Comp. , 1986,47:1-18. 被引量:1
  • 2孙澈,曹松.对流占优扩散问题的经济型流线扩散有限元法[J].计算数学,2004,26(3):367-384. 被引量:11
  • 3Johnson C,Szepessy. On the convergence of a finite element method of a nonlinear hyperbolic conservalionlaw[J]. Math Comp., 1987,49:427-444. 被引量:1
  • 4Vider Thomee. Galerkin Finite Element Methods for Parabolic Problems[ M ]. New York: Springer-Verlag,1997. 被引量:1
  • 5罗振东著..有限元混合法理论基础及其应用 发展与应用[M].济南:山东教育出版社,1996:426.
  • 6李宏,郭彦.四阶抛物方程的间断时空混合有限元法[J].内蒙古大学学报(自然科学版),2006,37(1):19-22. 被引量:8
  • 7Jiang Z, L^0 (L^2) and L^∞ (L^∞) error eslimates for mixed methods integro-differential equations of parabolic type[J]. Math. Modelling Numer. Anal. , 1999,33(3):531-546. 被引量:1
  • 8Falk R S,Osborn J. Error estimates for mixed methods[J]. Rairo Anal. Numer. , 1980,14:249-277. 被引量:1
  • 9Mounim A. A space-time mixed-hybrid finite element method for damped ware equation[J]. Numer. Meth. for P. D. E..2008,24:368-382. 被引量:1

二级参考文献4

  • 1JOHNSON C,SARAEN J. Streamline diffusion methods for problems in fluid mechanics [J]. Math. Comp. ,1986,47:1-18. 被引量:1
  • 2JOHNSON C,SZEPESSY. On the convergence of a finite element method of a nonlinear hyperbolic conservationlaw [J]. Math. Comp. , 1987,49 : 427- 444. 被引量:1
  • 3ViderThomee.Galerkin finite element methods for parabolic problems[M].北京:世界图书出版公司,1997.181-208. 被引量:1
  • 4张强,孙澈.非线性对流扩散问题的差分-流线扩散法[J].计算数学,1998,20(2):213-224. 被引量:33

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