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《Mathematica Numerica Sinica》 2005-04
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THE FINITE VOLUME ELEMENT METHOD FOR PARABOLIC EQUATION ON BB DUAL SUBDIVISIONS

Li Yonghai Cheng Zhiwei (Department of Mathematics, Jilin University, Changchun 130012, China) Sun Fengzhi (Deparment of Mathematics, Daqing Normal College, Daqing 163712, China)  
We discuss a finite volume method for the parabolic equations. The trial space is the piecewise linear functions on triangular meshes, the test space is the piecewise constants corresponding BB dual subdivisions. Optimal L2 and H1 convergence rates for semi-discrete and fully discrete methods are proved.
【Fund】: 吉林大学创新基金项目资助(编号:2004 CX 026).
【CateGory Index】: O241.82
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 Li Yonghai Li Ronghua(Jilin University);ON A CLASS OF GENERALIZED DIFFERENCE METHODS WITH BB DUAL SUBDIVISION[J];Numerical Mathematies A Journal of Chinese Universities;1998-01
2 Liu Xiaohua Xie Xiangjun (Dept. of Comput. Sci., Southwest Petroleum Institute, Nanchong 637001);THE L~2-NORM ERROR ESTIMATE FOR GENERALIZED DIFFERENCE SCHEME BASED ON BB DUAL SUBDIVISIONS[J];Numerical Mathematics A Journal of Chinese Universities;2003-01
【Co-citations】
Chinese Journal Full-text Database 2 Hits
1 Liu Xiaohua Xie Xiangjun (Dept. of Comput. Sci., Southwest Petroleum Institute, Nanchong 637001);THE L~2-NORM ERROR ESTIMATE FOR GENERALIZED DIFFERENCE SCHEME BASED ON BB DUAL SUBDIVISIONS[J];Numerical Mathematics A Journal of Chinese Universities;2003-01
2 CHENG Zhi-wei, LI Yong-hai (College of Mathematics, Jilin University, Changchun 130012, China);Finite volume element method of parabolic equation based on BB dual subdivisions[J];Acta Scientiarium Naturalium Universitatis Jilinensis;2004-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 LIANG Ren-jun~(1,2),LIN Zhen-shan~1(1.College of Geographical Science,Nanjing Normal University, Nanjing 210097,China;2.College of Geography and Tour,Linyi Normal University,Linyi 276005,China);Dynamic Prediction of Sandy Desertified Land in Northern China and Suggestion[J];Areal Research and Development;2006-04
2 Li Yonghai Li Ronghua(Jilin University);ON A CLASS OF GENERALIZED DIFFERENCE METHODS WITH BB DUAL SUBDIVISION[J];Numerical Mathematies A Journal of Chinese Universities;1998-01
3 Li Yunghua Zhu Piqi (Jilin University);GENERALIZED DIFFERENCE METHODS FOR 2ND ORDER ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS[J];Numerical Mathematics A Journal of Chinese Universities;1982-02
4 Zhu Piqi Li Ronghua (Jilin University);GENERALIZED DIFFERENCE METHODS FOR 2ND ORDER ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS (Ⅱ)[J];Numerical Mathematics A Journal of Chinese Universities;1982-04
5 ZHAO Meng-ling,ZHANG De-sheng,DOU Jian-kun,et al(School of Science,Xi'an University of Technology,Xi'an 710048,China);Numerical simulation for 2-D water flow in unsaturated soils[J];Basic Sciences Journal of Textile Universities;2005-03
6 Liu Xiaohua Xie Xiangjun (Dept. of Comput. Sci., Southwest Petroleum Institute, Nanchong 637001);THE L~2-NORM ERROR ESTIMATE FOR GENERALIZED DIFFERENCE SCHEME BASED ON BB DUAL SUBDIVISIONS[J];Numerical Mathematics A Journal of Chinese Universities;2003-01
7 YANG Jun-ping~(1),YAN De-ren~(2),LIU Yong-ding~(3),HU Cun-xiang~(3) (1.Beijing Forestry University,Beijing 100083;2.Inner Mongolia Academy of Forestry,Huhhot 010010;3.Institute of Hydrobiology,The ChineseAcademy of Scienses,Wuhan,430072);Study on The Technology Ways of Repid Recovering Vegetation for Controlling Sanddust Storm——Examplefor the East Part of Kubuqi Desert[J];Journal of Arid Land Resources and Environment;2006-04
8 Huang Suzhen~(1,2), Zhang Luming~2(1.Department of Basic Science, Yancheng Institute of Technology, 224003, Yancheng, China) (2.School of Science, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China);A Class of High Accuracy Characteristic Difference Method for Convection-Diffusion Equations[J];Journal of Nanjing Normal University(Natural Science Edition);2005-02
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10 Luo Zhendong (Department of Mathematics, Capital Normal University, Beijing, 100037)Xie Zhenghui Zhu Jiang Zeng Qingcun (ICCES, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, 100029);MIXED FINITE ELEMENT METHOD AND NUMERICAL SIMULATION FOR THE UNSATURATED SOIL WATER FLOW PROBLEM[J];Mathematica Numerica Sinica;2003-01
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 Li Yonghai Li Ronghua(Jilin University);ON A CLASS OF GENERALIZED DIFFERENCE METHODS WITH BB DUAL SUBDIVISION[J];Numerical Mathematies A Journal of Chinese Universities;1998-01
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3 Chen Zhongying(Department of Computer Science、 Zhongshan University, Guangzhou 510275);L ̄2-Error Estimates for Generalized Difference Method[J];ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS SUNYATSENI;1994-04
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