NDLI: Three-dimensional integrated Green Functions for the Poisson equation

Content Provider	IEEE Xplore Digital Library
Author	Abell, D.T. Mullowney, P.J. Paul, K. Ranjbar, V.H. Qiang, J. Ryne, R.D.
Copyright Year	2007
Description	Author affiliation: Tech-X Corp, Boulder (Abell, D.T.; Mullowney, P.J.; Paul, K.; Ranjbar, V.H.)
Abstract	The standard implementation of using FFTs to solve the Poisson equation with open boundary conditions on a Cartesian grid loses accuracy when the change in pG (the product of the charge density with the Green function) over a mesh cell becomes nonlinear; this is commonly encountered in high aspect ratio situations and results in poor efficiency due to the need for a very large number of grid points. A modification which solves this problem, the integrated Green function (IGF), has been implemented in two dimensions using linear basis functions and in three dimensions using constant basis functions. But, until recently, it has proved to be very difficult to implement IGF in three dimensions using linear basis functions. Recently significant progress has been made. We present both the implementation and test results for the three-dimensional extension.
Starting Page	3546
Ending Page	3548
File Size	257151
Page Count	3
File Format	PDF
ISBN	9781424409167
DOI	10.1109/PAC.2007.4440487
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-06-25
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Green function Poisson equations Convolution Flexible printed circuits Particle beams Boundary conditions Testing Computational modeling Particle accelerators Colliding beam accelerators
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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