Rapid Solution of Fredholm Integral Equations of the Second Kind with Picard-Kernel

Thore MAGATH

Rapid Solution of Fredholm Integral Equations of the Second Kind with Picard-Kernel

Thore MAGATH

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An iterative method is proposed to solve integral equations (IEs) of the second kind with Picard-kernel in linear complexity, i.e.O(N). The particular IE considered describes the process of scattering of a plane wave incident on an inhomogeneous slab. The collocation method with triangle basis functions is used to derive a linear system of equations, which is solved for a test problem with the BiCGSTAB method. To reduce the number of iterations, an efficient preconditioning operator is introduced.

Publication: IEICE TRANSACTIONS on Electronics Vol.E87-C No.9 pp.1548-1549

Publication Date: 2004/09/01

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Type of Manuscript: Special Section PAPER (Special Section on Wave Technologies for Wireless and Optical Communications)

Category: Basic Electromagnetic Analysis

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Thore MAGATH, "Rapid Solution of Fredholm Integral Equations of the Second Kind with Picard-Kernel" in IEICE TRANSACTIONS on Electronics, vol. E87-C, no. 9, pp. 1548-1549, September 2004, doi: .
Abstract: An iterative method is proposed to solve integral equations (IEs) of the second kind with Picard-kernel in linear complexity, i.e.O(N). The particular IE considered describes the process of scattering of a plane wave incident on an inhomogeneous slab. The collocation method with triangle basis functions is used to derive a linear system of equations, which is solved for a test problem with the BiCGSTAB method. To reduce the number of iterations, an efficient preconditioning operator is introduced.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/e87-c_9_1548/_p

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@ARTICLE{e87-c_9_1548,
author={Thore MAGATH, },
journal={IEICE TRANSACTIONS on Electronics},
title={Rapid Solution of Fredholm Integral Equations of the Second Kind with Picard-Kernel},
year={2004},
volume={E87-C},
number={9},
pages={1548-1549},
abstract={An iterative method is proposed to solve integral equations (IEs) of the second kind with Picard-kernel in linear complexity, i.e.O(N). The particular IE considered describes the process of scattering of a plane wave incident on an inhomogeneous slab. The collocation method with triangle basis functions is used to derive a linear system of equations, which is solved for a test problem with the BiCGSTAB method. To reduce the number of iterations, an efficient preconditioning operator is introduced.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Rapid Solution of Fredholm Integral Equations of the Second Kind with Picard-Kernel
T2 - IEICE TRANSACTIONS on Electronics
SP - 1548
EP - 1549
AU - Thore MAGATH
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E87-C
IS - 9
JA - IEICE TRANSACTIONS on Electronics
Y1 - September 2004
AB - An iterative method is proposed to solve integral equations (IEs) of the second kind with Picard-kernel in linear complexity, i.e.O(N). The particular IE considered describes the process of scattering of a plane wave incident on an inhomogeneous slab. The collocation method with triangle basis functions is used to derive a linear system of equations, which is solved for a test problem with the BiCGSTAB method. To reduce the number of iterations, an efficient preconditioning operator is introduced.
ER -