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Volume 20, Issue 2
A Preconditioner for Coupling System of Natural Boundary Element and Composite Grid Finite Element

Qi-Ya Hu & De-Hao Yu

J. Comp. Math., 20 (2002), pp. 165-174.

Published online: 2002-04

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  • Abstract

In this paper, based on the natural boundary reduction advanced by Feng and Yu, we discuss a coupling BEM with FEM for the Dirichlet exterior problems. In this method the finite element grids consist of fine grid and coarse grid so that the singularity at the corner points can be handled conveniently. In order to solve the coupling system by the preconditioning conjugate gradient method, we construct a simple preconditioner for the "stiffness" matrix. Some error estimates of the corresponding approximate solution and condition number estimate of the preconditioned matrix are also obtained.

  • Keywords

Natural boundary reduction, Composite grid, Error estimate, Preconditioner, Condition number.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-165, author = {Hu , Qi-Ya and Yu , De-Hao}, title = {A Preconditioner for Coupling System of Natural Boundary Element and Composite Grid Finite Element}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {2}, pages = {165--174}, abstract = {

In this paper, based on the natural boundary reduction advanced by Feng and Yu, we discuss a coupling BEM with FEM for the Dirichlet exterior problems. In this method the finite element grids consist of fine grid and coarse grid so that the singularity at the corner points can be handled conveniently. In order to solve the coupling system by the preconditioning conjugate gradient method, we construct a simple preconditioner for the "stiffness" matrix. Some error estimates of the corresponding approximate solution and condition number estimate of the preconditioned matrix are also obtained.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8907.html} }
TY - JOUR T1 - A Preconditioner for Coupling System of Natural Boundary Element and Composite Grid Finite Element AU - Hu , Qi-Ya AU - Yu , De-Hao JO - Journal of Computational Mathematics VL - 2 SP - 165 EP - 174 PY - 2002 DA - 2002/04 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8907.html KW - Natural boundary reduction, Composite grid, Error estimate, Preconditioner, Condition number. AB -

In this paper, based on the natural boundary reduction advanced by Feng and Yu, we discuss a coupling BEM with FEM for the Dirichlet exterior problems. In this method the finite element grids consist of fine grid and coarse grid so that the singularity at the corner points can be handled conveniently. In order to solve the coupling system by the preconditioning conjugate gradient method, we construct a simple preconditioner for the "stiffness" matrix. Some error estimates of the corresponding approximate solution and condition number estimate of the preconditioned matrix are also obtained.

Hu , Qi-Ya and Yu , De-Hao. (2002). A Preconditioner for Coupling System of Natural Boundary Element and Composite Grid Finite Element. Journal of Computational Mathematics. 20 (2). 165-174. doi:
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