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稳态Poisson-Nernst-Planck方程的后验误差估计

A posteriori error estimate of steady-state Poisson-Nernst-Planck equations
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摘要 为了运用自适应有限元方法求解Poisson-Nernst-Planck(PNP)方程,采用残量型方法构造出了后验误差估计子并给出了上界证明。结果表明,该后验误差估计子是有效的。 In order to solve Poisson-Nernst-Planck equations by using the adaptive finite element method,the residual type method is used to construct a posteriori error estimator and the proof of the upper bound is also given.The results show that the posteriori error estimator is effective.
作者 庄林飒 阳莺
出处 《桂林电子科技大学学报》 2014年第2期147-151,共5页 Journal of Guilin University of Electronic Technology
基金 国家自然科学基金(11001062 11161014) 广西自然科学基金(2012GXNSFBA053006)
关键词 Poisson-Nernst-Planck方程 残量型 后验误差估计子 上界 Poisson-Nernst-Planck equations residual type posteriori error estimator upper bound
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参考文献7

  • 1Yan Ningning,Zhou Aihui. Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes[J]. Computer methods in applied mechanics and engineering, 2001,190: 4289-4299.
  • 2Chen Long,Holst M,Xu Jinchao. The finite element approximation of the nonlinear Poisson-Bohzmann equation[J]. SIAM Journal on Numerical Analysis, 2007,45 (6): 2298-2320.
  • 3Hintermuller M, Hinze M, Kahle C. An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/ Navier-Stokes system[J]. Journal of Computational Physics,2012,235 :810- 827.
  • 4陆金甫,关治.偏微分方程数仇解法[M].北京:清华大学出版社,2003:228-232.
  • 5Yang Ying,Cheng J ie, Lu Benzhuo,et al. Parallel adaptive finite element algorithms for solving the coupled electro-diffusion equations[J]. Journal of Computational Physics, 2012 : 1-26.
  • 6Ying Yang,Benzhuo Lu.An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations[J].Advances in Applied Mathematics and Mechanics,2013,5(1):113-130. 被引量:4
  • 7Lu Benzhuo, Hoist M J, McCammon A, et al. Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reac- tion processes I :finite element solutions[J]. Journal of Computational Physics, 2010,229;6979-6994.

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