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Volume 20, Issue 2
Domain Decomposition Methods with Nonmatching Grids for the Unilateral Problem

Ping Luo & Guo-Ping Liang

J. Comp. Math., 20 (2002), pp. 197-206.

Published online: 2002-04

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  • Abstract

This paper is devoted to the construction of domain decomposition methods with nonmatching grids based on mixed finite element methods for the unilateral problem. The existence and uniqueness of solution are discussed and optimal error bounds are obtained. Furthermore, global superconvergence estimates are given.

  • Keywords

Domain decomposition, Variational inequality, Global superconvergence, Non-matching grids.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-197, author = {Luo , Ping and Liang , Guo-Ping}, title = {Domain Decomposition Methods with Nonmatching Grids for the Unilateral Problem}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {2}, pages = {197--206}, abstract = {

This paper is devoted to the construction of domain decomposition methods with nonmatching grids based on mixed finite element methods for the unilateral problem. The existence and uniqueness of solution are discussed and optimal error bounds are obtained. Furthermore, global superconvergence estimates are given.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8910.html} }
TY - JOUR T1 - Domain Decomposition Methods with Nonmatching Grids for the Unilateral Problem AU - Luo , Ping AU - Liang , Guo-Ping JO - Journal of Computational Mathematics VL - 2 SP - 197 EP - 206 PY - 2002 DA - 2002/04 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8910.html KW - Domain decomposition, Variational inequality, Global superconvergence, Non-matching grids. AB -

This paper is devoted to the construction of domain decomposition methods with nonmatching grids based on mixed finite element methods for the unilateral problem. The existence and uniqueness of solution are discussed and optimal error bounds are obtained. Furthermore, global superconvergence estimates are given.

Luo , Ping and Liang , Guo-Ping. (2002). Domain Decomposition Methods with Nonmatching Grids for the Unilateral Problem. Journal of Computational Mathematics. 20 (2). 197-206. doi:
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