Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (3): 535-550.

• Articles • Previous Articles     Next Articles

A Mixed Covolume Method for Pseudo-Hyperbolic Equation

 FANG Zhi-Chao1, LI Hong1, LUO Zhen-Dong2   

  1. 1.School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021;
    2.School of Mathematics and Physics, North China Electric Power University, Beijing 102206
  • Received:2011-11-19 Revised:2013-02-05 Online:2013-06-25 Published:2013-06-25
  • Supported by:

    国家自然科学基金(11061021, 11061009)和内蒙古高校科学研究项目(NJ10006)资助

Abstract:

The mixed covolume method is analyzed for a class of second-order pseudo-hyperbolic equations on triangular grids. Semi-discrete and fully-discrete mixed covolume schemes are constructed by using the lowest order Raviart-Thomas mixed finite element space and introducing a transfer operator γh that maps the trial function space into the test function space. According to the characteristics of the pseudo-hyperbolic equation, generalized mixed covolume projection is introduced, then optimal error estimates are derived by using the properties of the transfer operator and generalized mixed covolume projection. Finally, numerical experiments are given to verify the theoretical results and the effectiveness of the proposed method.

Key words: Pseudo-hyperbolic equation, Mixed covolume method, Fully-discrete scheme, Optimal error estimate

CLC Number: 

  • 65M08
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