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Volume 19, Issue 5
Two-Scale FEM for Elliptic Mixed Boundary Value Problems with Small Periodic Coefficients

Jin-Ru Chen & Jun-Zhi Cui

J. Comp. Math., 19 (2001), pp. 549-560.

Published online: 2001-10

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  • Abstract

In this paper, a dual approximate expression of the exact solution for mixed boundary value problems of second order elliptic PDE with small periodic coefficients is proposed. Meanwhile the error estimate of the dual approximate solution is discussed. Finally, a high-low order coupled two-scale finite element method is given, and its approximate error is analysed.  

  • Keywords

Two-scale FEM, Mixed boundary value, Small periodic coefficients.

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COPYRIGHT: © Global Science Press

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@Article{JCM-19-549, author = {Chen , Jin-Ru and Cui , Jun-Zhi}, title = {Two-Scale FEM for Elliptic Mixed Boundary Value Problems with Small Periodic Coefficients}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {5}, pages = {549--560}, abstract = {

In this paper, a dual approximate expression of the exact solution for mixed boundary value problems of second order elliptic PDE with small periodic coefficients is proposed. Meanwhile the error estimate of the dual approximate solution is discussed. Finally, a high-low order coupled two-scale finite element method is given, and its approximate error is analysed.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9007.html} }
TY - JOUR T1 - Two-Scale FEM for Elliptic Mixed Boundary Value Problems with Small Periodic Coefficients AU - Chen , Jin-Ru AU - Cui , Jun-Zhi JO - Journal of Computational Mathematics VL - 5 SP - 549 EP - 560 PY - 2001 DA - 2001/10 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9007.html KW - Two-scale FEM, Mixed boundary value, Small periodic coefficients. AB -

In this paper, a dual approximate expression of the exact solution for mixed boundary value problems of second order elliptic PDE with small periodic coefficients is proposed. Meanwhile the error estimate of the dual approximate solution is discussed. Finally, a high-low order coupled two-scale finite element method is given, and its approximate error is analysed.  

Chen , Jin-Ru and Cui , Jun-Zhi. (2001). Two-Scale FEM for Elliptic Mixed Boundary Value Problems with Small Periodic Coefficients. Journal of Computational Mathematics. 19 (5). 549-560. doi:
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