IEICE TRANSACTIONS on Electronics
Rapid Solution of Fredholm Integral Equations of the Second Kind with Picard-Kernel
Summary :
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
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Wave Technologies for Wireless and Optical Communications)
- Category
- Basic Electromagnetic Analysis
Authors
Keyword
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
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://global.ieice.org/en_transactions/electronics/10.1587/e87-c_9_1548/_p
Copy
@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},}
Copy
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 -
English
