Electromagnetic theory and computation : a topological approach

Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, al...

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Bibliographic Details
Main Author Gross, Paul W. 1967-
Other Authors Kotiuga, P. Robert 1958-
Format Electronic eBook
LanguageEnglish
Published Cambridge, UK ; New York : Cambridge University Press, ©2004.
SeriesMathematical Sciences Research Institute publications ; 48.
Subjects
Electromagnetic theory.
elektronické knihy
electronic books
Online AccessFull text
ISBN9781601197405
1601197403
0511216890
9780511216893
0511207948
9780511207945
051121510X
9780511215100
9780511756337
051175633X
9780511211522
051121152X
9780521175234
0521175232
1139882953
9781139882958
9786610541270
6610541272
0511315570
9780511315572
0511213298
9780511213298
9780521801607
0521801605
Physical Description1 online resource (ix, 278 pages) : illustrations

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100 1 |a Gross, Paul W.  |q (Paul Wolfgang),  |d 1967-  |1 https://id.oclc.org/worldcat/entity/E39PCjJyqH8fqHxxXXrmbMjR83 
245 1 0 |a Electromagnetic theory and computation :  |b a topological approach /  |c Paul W. Gross, P. Robert Kotiuga. 
260 |a Cambridge, UK ;  |a New York :  |b Cambridge University Press,  |c ©2004. 
300 |a 1 online resource (ix, 278 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Mathematical Sciences Research Institute publications ;  |v 48 
504 |a Includes bibliographical references (pages 261-266) and index. 
505 0 |a 1. From vector calculus to algebraic topology -- 2. Quasistatic electromagnetic fields -- 3. Duality theorems for manifolds with boundary -- 4. The finite element method and data structures -- 5. Computing eddy currents on thin conductors with scalar potentials -- 6. An algorithm to make cuts for magnetic scalar potentials -- 7. A paradigm problem -- Mathematical appendix: Manifolds, differential forms, cohomology, Riemannian structures. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, algorithms, and computation to topological aspects of three-dimensional electromagnetic boundary value problems. This book, first published in 2004, attempts to expose the link between Maxwell and a modern approach to algorithms. The first chapters lay out the relevant facts about homology and cohomology, stressing their interpretations in electromagnetism. These topological structures are subsequently tied to variational formulations in electromagnetics, the finite element method, algorithms, and certain aspects of numerical linear algebra. A recurring theme is the formulation of and algorithms for the problem of making branch cuts for computing magnetic scalar potentials and eddy currents. 
590 |a Knovel  |b Knovel (All titles) 
650 0 |a Electromagnetic theory. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
700 1 |a Kotiuga, P. Robert  |q (Peter Robert),  |d 1958-  |1 https://id.oclc.org/worldcat/entity/E39PCjybHrFvTRjM4RXRYHdwQ3 
776 0 8 |i Print version:  |a Gross, Paul W. (Paul Wolfgang), 1967-  |t Electromagnetic theory and computation.  |d Cambridge, UK ; New York : Cambridge University Press, ©2004  |z 0521801605  |w (DLC) 2004052644  |w (OCoLC)55588045 
830 0 |a Mathematical Sciences Research Institute publications ;  |v 48. 
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