Lee, Khiy Wei and Murid, Ali H. M. and Sangawi, Ali W. K. (2017) Solving integral equations with generalized neumann kernel using global simpler GMRES for numerical conformal mapping. In: 24th National Symposium on Mathematical Sciences: Mathematical Sciences Exploration for the Universal Preservation, SKSM 2016, 27 - 29 September 2016, Kuala Terengganu, Terengganu.
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Official URL: http://dx.doi.org/10.1063/1.4995907
Abstract
We study a numerical approach for solving integral equation with adjoint generalized Neumann kernel related to conformal mapping. Previously, computation of conformal mapping of M + 1 connected regions require solving at least M + 1 integral equations with adjoint generalized Neumann kernel separately. We apply global simpler GMRES which solve nonsymmetric system with multiple right-hand sides to solve M + 1 integral equations simultaneously. We also apply fast multipole method for several matrix vector products in every iteration of global simpler GMRES. Numerical example is given to illustrate the effectiveness of the proposed method.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | adjoint generalized Neumann kernel, Global simpler GMRES, integral equation |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 97028 |
| Deposited By: | Narimah Nawil |
| Deposited On: | 12 Sep 2022 07:14 |
| Last Modified: | 12 Sep 2022 07:14 |
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