Global Superconvergences of the Domain Decomposition Methods with Nonmatching Grids

Global Superconvergences of the Domain Decomposition Methods with Nonmatching Grids

Year:    2001

Author:    Ping Luo, Guo-Ping Liang

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 187–194

Abstract

In this paper, the global superconvergences of the domain decomposition methods with Lagrangian multiplier and nonmatching grids are proven for solving the second order elliptic boundary value problems. Moreover, $L^\infty$ and $L^2$ error estimates are discussed and a defect correction scheme is presented.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JCM-8971

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 187–194

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Domain decomposition Defect correction Global superconvergence Non-matching grids.

Author Details

Ping Luo

Guo-Ping Liang