关于不定椭圆问题有限体积法的超收敛结果(英文)

Some Superconvergence Results for the Covolume Method for Non-selfadjoint and Indefinite Elliptic Problems

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摘要考虑一般不定椭圆问题的有限体积法 ,并得到能量范数和最大模意义下的超收敛结果 . Numerical analysis of the covolume method fo solving general non-selfadjoint elliptic problem is considered. Some superconvergence results for the deviation between the solution of the covolume method and the induced finite element method are presented in the energy norm and maximum norm respectively. The computational result are also (given).

作者陈文斌林浩民黄建国

机构地区复旦大学数学系复旦大学数学研究所上海交通大学应用数学系

出处《复旦学报（自然科学版）》 CAS CSCD 北大核心 2004年第3期307-314,共8页 Journal of Fudan University：Natural Science

基金 ProjectsupportedbyNSFC(1 0 0 71 0 1 5 )andtheSpecialFundsforMajorStateBasicResearchProjects(G1 9990 32 80 4 )

关键词不定椭圆有限体积法超收敛结果能量范数最大模不对称不定问题 superconvergence covolume method non-selfadjoint and indefinite problems

分类号 O241.8 [理学—计算数学]

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1Versteeg H, Malalaskekera W. An introduction to computational fluid dynamics [M]. England: Longman Group, 1995.
2Chou S. Analysis and convergence of a covolume method for the generalized Stokes problem [J]. Mathematics of Computation, 1997, 66:85-104.
3Chou S, Kwak D, Vassilevski P. Mixed covolume methods for elliptic problems on triangular grids [J]. SIAM J Numer Anal, 1998, 35: 1850-1861.
4Bank R, Rose D. Some error estimates for the box method [J]. SIAM J Numer Anal, 1987, 24: 777-787.
5Cai Z. On the finite volume element method[J]. Numer Math, 1991, 58: 713-735.
6Huang J, Xi S. On the finite volume element method for general self-adjoint elliptic problems [J]. SIAM J Numer Anal, 1998, 35: 1762-1774.
7Li R, Zhu P. Generalized difference methods for second order partial differential equations (I) [J]. Numerical Mathematics: A Journal of Chinese University, 1982, 4: 140-152 (in Chinese).
8Huang J, Li L. Some superconvergence results for the covolume method for elliptic problems [J]. Communications in Numerical Methods in Engineering, 2001, 17:291-302.
9Ciarlet P. The Finite Element Method for Elliptic Problems [M]. Amsterdam: North-Holland, 1978.
10Grisvard P. Elliptic Problems in Nonsmooth Domains [M]. Boston: Pitman Advanced Pub Program, 1985.

1孙威,李存昌,蔡华君.非自共轭与不定问题的协调元超收敛性和最大模估计(英)[J].复旦学报（自然科学版）,1998,37(5):661-668.
2杜辰薇,徐大雷,黄建国.两阶不定椭圆问题的Mortar型有限体积法[J].复旦学报（自然科学版）,2002,41(5):557-565.
3王明洋,钱七虎.爆炸应力波通过颗粒介质的试验与理论的对比研究[J].防护工程,1994(4):41-47.
4戴珍香.二维两阶不定椭圆问题的有限体积元方法的两层网格算法[J].山东大学学报（理学版）,2008,43(2):52-57.
5陈金如,陈文斌.两阶不定椭圆问题混合元和投影非协调元的区域分解法[J].复旦学报（自然科学版）,2000,39(1):80-85.
6杨凤翔,韩秀芹,张书华.积分方程数值解的外推算法[J].天津城建学院学报,1994(1):47-51.
7胡敏峰.探究高职物理实验与理论课整合的尝试[J].新课程（下）,2014,0(7):197-197.
8杨茹萍,方新强,宁怀明,陈殿云.凿岩台车伸缩臂试验模态分析[J].矿山机械,2006,34(2):27-29.
9黄军旗.双筒流变仪中Maxwell流体的振颤周期[J].力学与实践,1995,17(3):60-62.
10赵振东,钟江荣,余世舟.刚性弹丸撞击下混凝土板侵彻极限深度与痂斑极限厚度经验公式的验算[J].爆炸与冲击,2005,25(1):41-46. 被引量：5

复旦学报（自然科学版）

2004年第3期

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关于不定椭圆问题有限体积法的超收敛结果(英文)

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