A Nonoverlapping DDM for General Elastic Body-Plate Problems Discretized by the $P_1$-NZT FEM

A Nonoverlapping DDM for General Elastic Body-Plate Problems Discretized by the $P_1$-NZT FEM

Year:    2018

Author:    Jianguo Huang, Xuehai Huang

International Journal of Numerical Analysis and Modeling, Vol. 15 (2018), Iss. 1-2 : pp. 86–101

Abstract

A nonoverlapping domain decomposition method (DDM) is proposed to solve general elastic body-plate problems, discretized by the $P_1$-NZT finite element method. It is proved in a subtle way that the convergence rate of the method is optimal (independent of the finite element mesh size), even for a regular family of finite element triangulations. This enables us to combine the method with adaptive techniques in practical applications. Some numerical results are included to illustrate the computational performance of the method.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2018-IJNAM-10557

International Journal of Numerical Analysis and Modeling, Vol. 15 (2018), Iss. 1-2 : pp. 86–101

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Domain decomposition method body-plate structure new Zienkiewicz-type element (NZT) convergence analysis.

Author Details

Jianguo Huang

Xuehai Huang