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Bem and its convergence for Stationary Stokes problem in three dimensions

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Abstract

This paper discusses BEM for Stationary Stokes problem in three dimensions, studies its convergence and superconvergence, and gives the optimal error estimates as well.

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References

  1. Feng Kang, Yu Dehao, Canonical Integral Equations of Elliptic Boundary Value Problems and Their Numerical Solutions, Proceedings of China-France Symposium on the Finite Element Method, Feng Kang and Lions, J. L. ed., Science Press and Gordon and Breach, Beijing and New York, 1983, 211–252.

    Google Scholar 

  2. Brebbia, C. A., Telles, J. C. F., Wrobel, L. C., Boundary Element Techniques—Theory and Applications in Engineering, Springer-Verlag, Berlin, 1984.

    Google Scholar 

  3. Du Qinghua, Boundary Elements, Proceedings of the International Conference, Beijing, China, Pergamon Press, Oxford and New York, 1986.

    Google Scholar 

  4. Zhu Jialin, A Boundary Integral Equation Method for the Stationary Stokes Problem in Three Dimensions,Math. Numer. Sinica,7 (1985), 40–49.

    Google Scholar 

  5. Hsiao, G. C., Wendland, W., A Finite Element Method for Some Integral Equations of the First Kind,J. Math. Anal. Appl.,58 (1977), 449–481.

    Article  Google Scholar 

  6. Le Roux, M. N., Méthode d'éléments finis pour la résolution numérique d'un problème extérieur en dimension deux,B. A. I. R. O. Série Anal. Numér.,11 (1977), 27–60.

    Google Scholar 

  7. Nedelec, J. C., Planchard, J., Une méthode variationnelle d'élément finis pour la résolution numérique d'un problème extérieux dansR 3,R. A. I. R. O. 7 e Année,R-3 (1973), 105–129.

    Google Scholar 

  8. Li Ronghua, Wen Xizhong, The Error Estimates of BEM for a Biharmonic Equation in Two Dimensions, Research Report of Dept. Math. & Inst. Math., Jilin Univ., China, 1985.

    Google Scholar 

  9. Yu Dehao, Numerical Solutions of Harmonic and Biharmonic Canonical Integral Equations in Interior or Exterior Circular Domains,J. Comp. Math.,1 (1983), 52–62.

    Google Scholar 

  10. Ladyzhenskaya, O. A., The Mathematical Theory of Viscous Incompressible Flow, Gordon and Breach, New York, 1969.

    Google Scholar 

  11. Ciarlet, P. G., The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978.

    Google Scholar 

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Authors and Affiliations

  1. Shandong University, China

    Wang Hong

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  1. Wang Hong
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Wang, H. Bem and its convergence for Stationary Stokes problem in three dimensions. Acta Mathematicae Applicatae Sinica 3, 318–327 (1987). https://doi.org/10.1007/BF02008370

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  • DOI: https://doi.org/10.1007/BF02008370

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