Two-Scale FEM for Elliptic Mixed Boundary Value Problems with Small Periodic Coefficients

Two-Scale FEM for Elliptic Mixed Boundary Value Problems with Small Periodic Coefficients

Year:    2001

Author:    Jin-Ru Chen, Jun-Zhi Cui

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 5 : pp. 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.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JCM-9007

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 5 : pp. 549–560

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Two-scale FEM Mixed boundary value Small periodic coefficients.

Author Details

Jin-Ru Chen

Jun-Zhi Cui