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Volume 19, Issue 2
Global Superconvergences of the Domain Decomposition Methods with Nonmatching Grids

Ping Luo & Guo-Ping Liang

J. Comp. Math., 19 (2001), pp. 187-194.

Published online: 2001-04

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  • 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.

  • Keywords

Domain decomposition, Defect correction, Global superconvergence, Non-matching grids.

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COPYRIGHT: © Global Science Press

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@Article{JCM-19-187, author = {Luo , Ping and Liang , Guo-Ping}, title = {Global Superconvergences of the Domain Decomposition Methods with Nonmatching Grids}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8971.html} }
TY - JOUR T1 - Global Superconvergences of the Domain Decomposition Methods with Nonmatching Grids AU - Luo , Ping AU - Liang , Guo-Ping JO - Journal of Computational Mathematics VL - 2 SP - 187 EP - 194 PY - 2001 DA - 2001/04 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8971.html KW - Domain decomposition, Defect correction, Global superconvergence, Non-matching grids. AB -

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.

Luo , Ping and Liang , Guo-Ping. (2001). Global Superconvergences of the Domain Decomposition Methods with Nonmatching Grids. Journal of Computational Mathematics. 19 (2). 187-194. doi:
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