期刊文献+

二阶拟线性抛物型积分微分方程的扩展混合有限元方法

Mixed Covolume Method for the Quasilinear Parabolic Problem
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摘要 讨论拟线性抛物型积分微分方程的扩展混合有限元方法。并利用该方法得到了其真解与离散解的最优L2模误差估计。 The mixed covolume method for the parabolic problem is Proposed. Optimal order error estimates for the scaler unknown, its gradient and its flux in L^2-norms are obtained.
出处 《科学技术与工程》 2008年第13期3586-3589,共4页 Science Technology and Engineering
关键词 扩展混合有限元 抛物型积分微分方程 最优误差估计 expanded mixed finite element parabolic integro-dierential equation optimal order error estimates
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参考文献5

  • 1[1]Chou S H,Vassileoski P S.Mixed covolume methods for the elliptic problems on triangular grids.SIAM J Numer Anal,1998;(35):1850-1861
  • 2[2]Chou S H.Kwak D Y.Mixed covolume methods on rectangular grids for the elliptic problems,SIAM J Numer Anal,2000;(37):758-771
  • 3[3]Rui H X.Symmetric mixed covolume methods for parabolic problems.Number Methods for Partial Dierential Eq,2002;(18):561-583
  • 4[4]Chen Zhangxin.Expanded mixed finite element methods for quasilinear secondorder elliptic problems.M2AN,1998;(32);501-520
  • 5[5]Chen Zhangxin.Expanded mixed finite element methods for linear secondorder elloiptic problems,M2AN,1998;(32):479-499

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