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Volume 7, Issue 2
Iterative Methods for Boundary Integral Equations

R. E. Kleinman

J. Comp. Math., 7 (1989), pp. 140-150.

Published online: 1989-07

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  • Abstract

We review some iterative methods for solving boundary integral equations which arise in Dirichlet and Neumann problems for the Helmholtz and Laplace equations. In particular we show how these integral equations may be transformed so that they may be solved by Neumann-Poincare Picard iteration.

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@Article{JCM-7-140, author = {R. E. Kleinman}, title = {Iterative Methods for Boundary Integral Equations}, journal = {Journal of Computational Mathematics}, year = {1989}, volume = {7}, number = {2}, pages = {140--150}, abstract = {

We review some iterative methods for solving boundary integral equations which arise in Dirichlet and Neumann problems for the Helmholtz and Laplace equations. In particular we show how these integral equations may be transformed so that they may be solved by Neumann-Poincare Picard iteration.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9464.html} }
TY - JOUR T1 - Iterative Methods for Boundary Integral Equations AU - R. E. Kleinman JO - Journal of Computational Mathematics VL - 2 SP - 140 EP - 150 PY - 1989 DA - 1989/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9464.html KW - AB -

We review some iterative methods for solving boundary integral equations which arise in Dirichlet and Neumann problems for the Helmholtz and Laplace equations. In particular we show how these integral equations may be transformed so that they may be solved by Neumann-Poincare Picard iteration.

R. E. Kleinman. (1989). Iterative Methods for Boundary Integral Equations. Journal of Computational Mathematics. 7 (2). 140-150. doi:
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