Two-Scale Curved Element Method for Elliptic Problems with Small Periodic Coefficients

Two-Scale Curved Element Method for Elliptic Problems with Small Periodic Coefficients

Year:    2002

Author:    Jin-Ru Chen, Jun-Zhi Cui

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 4 : pp. 381–390

Abstract

This paper is concerned with the second order elliptic problems with small periodic coefficients on a bounded domain with a curved boundary. A two-scale curved element method which couples linear elements and isoparametric elements is proposed. The error estimate is obtained over the given smooth domain. Furthermore, an additive Schwarz method is provided for the isoparametric element method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JCM-8926

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 4 : pp. 381–390

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Two-scale Curved element Small periodic coefficients.

Author Details

Jin-Ru Chen

Jun-Zhi Cui