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Volume 15, Issue 1-2
A Nonoverlapping DDM for General Elastic Body-Plate Problems Discretized by the $P_1$-NZT FEM

Jianguo Huang & Xuehai Huang

Int. J. Numer. Anal. Mod., 15 (2018), pp. 86-101.

Published online: 2018-01

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65N30, 65N55, 74B05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

jghuang@sjtu.edu.cn (Jianguo Huang)

xuehaihuang@gmail.com (Xuehai Huang)

  • BibTex
  • RIS
  • TXT
@Article{IJNAM-15-86, author = {Huang , Jianguo and Huang , Xuehai}, title = {A Nonoverlapping DDM for General Elastic Body-Plate Problems Discretized by the $P_1$-NZT FEM}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {15}, number = {1-2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/10557.html} }
TY - JOUR T1 - A Nonoverlapping DDM for General Elastic Body-Plate Problems Discretized by the $P_1$-NZT FEM AU - Huang , Jianguo AU - Huang , Xuehai JO - International Journal of Numerical Analysis and Modeling VL - 1-2 SP - 86 EP - 101 PY - 2018 DA - 2018/01 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/10557.html KW - Domain decomposition method, body-plate structure, new Zienkiewicz-type element (NZT), convergence analysis. AB -

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.

Huang , Jianguo and Huang , Xuehai. (2018). A Nonoverlapping DDM for General Elastic Body-Plate Problems Discretized by the $P_1$-NZT FEM. International Journal of Numerical Analysis and Modeling. 15 (1-2). 86-101. doi:
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