Nonconforming Finite Element Method for Nonlinear Hyperbolic Equations


Buying Zhang~2,Xiuyan Niu~1,Mingjing Gao~1 1.Department of Mathematics,Hebei Normal University of Science & Technology,Qinhuangdao,066004; 2.E & A college,Hebei Normal University of Science Technology,Qinhuangdao,066004.


<正>A nonconforming finite element method for nonlinear hyperbolic equations is considered in this paper.The convergence analysis is presented and the optimal error estimate in L~∞(S_h)and L~∞(L~2)norm are obtained without referring to the Ritz projection.


Nonlinear hyperbolic equations;;nonconforming finite element;;optimal error


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Total: 7 articles

  • [1] Du Ning ( Institute of Mathematics,Shandong University2 50 1 0 0 ), Analysis of the Mixed Finite Element Method for a Kind of Second- order Hyperbolic Equations, CHINESE JOURNAL OF ENGINEERING MATHEMATICS,
  • [2] WANG Bo (LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029 China) (School of Mathematics and System Science, Shandong University, Jinan Shandong 250100 China), Time-Dependent Variable Grid Finite Element Method for the Nerve Conductive Equarions, Journal of Biomathematics,
  • [3] SHI DONGYANG;XIE PINGLI;CHEN SHAOCHUN Department of Mathematics,Zhengzhou University,Zhengzhou 450052, The Nonconforming Finite Element Approximation to Hyperbolic Intergrodifferential Equations on Anisotropic Meshes, Acta Mathematicae Applicatae Sinica,
  • [4] J. R. Cannon;;Yanping Lin, A Priori L<sup>2</sup> Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory, SIAM Journal on Numerical Analysis,


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