Electromagnetic Problems Solving by Conformal Mapping : A Mathematical Operator for Optimization
Joint Authors
Alvarenga, Bernardo
Brito, Leonardo da Cunha
Antunes, Carlos F. R. Lemos
Calixto, Wesley Pacheco
da Mota, Jesus Carlos
Neto, Luciano Martins
Wu, Marcel
Alves, Aylton José
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-02-15
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Having the property to modify only the geometry of a polygonal structure, preserving its physical magnitudes, the Conformal Mapping is an exceptional tool to solve electromagnetism problems with known boundary conditions.
This work aims to introduce a new developed mathematical operator, based on polynomial extrapolation.
This operator has the capacity to accelerate an optimization method applied in conformal mappings, to determinate the equipotential lines, the field lines, the capacitance, and the permeance of some polygonal geometry electrical devices with an inner dielectric of permittivity ε.
The results obtained in this work are compared with other simulations performed by the software of finite elements method, Flux 2D.
American Psychological Association (APA)
Calixto, Wesley Pacheco& Alvarenga, Bernardo& da Mota, Jesus Carlos& Brito, Leonardo da Cunha& Wu, Marcel& Alves, Aylton José…[et al.]. 2011. Electromagnetic Problems Solving by Conformal Mapping : A Mathematical Operator for Optimization. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-495109
Modern Language Association (MLA)
Calixto, Wesley Pacheco…[et al.]. Electromagnetic Problems Solving by Conformal Mapping : A Mathematical Operator for Optimization. Mathematical Problems in Engineering No. 2010 (2010), pp.1-19.
https://search.emarefa.net/detail/BIM-495109
American Medical Association (AMA)
Calixto, Wesley Pacheco& Alvarenga, Bernardo& da Mota, Jesus Carlos& Brito, Leonardo da Cunha& Wu, Marcel& Alves, Aylton José…[et al.]. Electromagnetic Problems Solving by Conformal Mapping : A Mathematical Operator for Optimization. Mathematical Problems in Engineering. 2011. Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-495109
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495109