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Convergence Analysis of a Fourier-Based Solution Method of the Laplace Equation for a Model of Magnetic Recording
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-02-18
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
When engineers model the magnetostatic fields applied to recording heads of computer hard drives due to a magnetic recording medium, the solution of Laplace's equation must be found.
A popular solution method is based on Fourier analysis.
However, due to the geometry of the read head model, an interesting mathematical problem arises.
The coefficients for the Fourier series solution of the desired magnetic potential satisfy an infinite system of linear equations.
In practice, the infinite system is truncated to a finite system with little consideration for the effect this truncation has on the solution.
The paper will provide a proper understanding of the underlying problem and a formal analysis of the effect of truncation.
American Psychological Association (APA)
Fleming, John L.. 2008. Convergence Analysis of a Fourier-Based Solution Method of the Laplace Equation for a Model of Magnetic Recording. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-450155
Modern Language Association (MLA)
Fleming, John L.. Convergence Analysis of a Fourier-Based Solution Method of the Laplace Equation for a Model of Magnetic Recording. Mathematical Problems in Engineering No. 2008 (2008), pp.1-11.
https://search.emarefa.net/detail/BIM-450155
American Medical Association (AMA)
Fleming, John L.. Convergence Analysis of a Fourier-Based Solution Method of the Laplace Equation for a Model of Magnetic Recording. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-450155
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450155