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《Journal of Jilin University(Science Edition)》 2010-06
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Finite Volume Element Method for Hyperbolic Equation on BB Dual Subdivisions

GAN Xiao-ting1,YANG Ying2(1. Department of Mathematics,Chuxiong Normal University,Chuxiong 675000,Yunnan Province,China; 2. School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,Guangxi Zhuang Autonomous Region,China)  
One semi-discrete and two fully discrete finite volume element methods based on triangulation and BB dual subdivisions were presented for the hyperbolic equations. Here,the two fully discrete schemes were approximated by the Grank-Nicolson and the Backward Euler schemes respectively. And the optimal H1,L2 norms error estimates for the semi-discrete finite volume element scheme were obtained,and the error estimates of the two fully discrete schemes were also obtained.
【Fund】: 广西科学基金(批准号:073101);; 桂林电子科技大学科研启动基金(批准号:z20519)
【CateGory Index】: O241.82
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【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
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
3 Li Yonghai Cheng Zhiwei (Department of Mathematics, Jilin University, Changchun 130012, China) Sun Fengzhi (Deparment of Mathematics, Daqing Normal College, Daqing 163712, China);THE FINITE VOLUME ELEMENT METHOD FOR PARABOLIC EQUATION ON BB DUAL SUBDIVISIONS[J];Mathematica Numerica Sinica;2005-04
【Co-citations】
Chinese Journal Full-text Database 3 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
3 Li Yonghai Cheng Zhiwei (Department of Mathematics, Jilin University, Changchun 130012, China) Sun Fengzhi (Deparment of Mathematics, Daqing Normal College, Daqing 163712, China);THE FINITE VOLUME ELEMENT METHOD FOR PARABOLIC EQUATION ON BB DUAL SUBDIVISIONS[J];Mathematica Numerica Sinica;2005-04
【Secondary Citations】
Chinese Journal Full-text Database 6 Hits
1 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
2 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
3 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
4 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
5 Li Yonghai Cheng Zhiwei (Department of Mathematics, Jilin University, Changchun 130012, China) Sun Fengzhi (Deparment of Mathematics, Daqing Normal College, Daqing 163712, China);THE FINITE VOLUME ELEMENT METHOD FOR PARABOLIC EQUATION ON BB DUAL SUBDIVISIONS[J];Mathematica Numerica Sinica;2005-04
6 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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