A Preconditioner for Coupling System of Natural Boundary Element and Composite Grid Finite Element

A Preconditioner for Coupling System of Natural Boundary Element and Composite Grid Finite Element

Year:    2002

Author:    Qi-Ya Hu, De-Hao Yu

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 2 : pp. 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.

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/2002-JCM-8907

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 2 : pp. 165–174

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Natural boundary reduction Composite grid Error estimate Preconditioner Condition number.

Author Details

Qi-Ya Hu

De-Hao Yu