Electromagnetic theory and computation : a topological approach

• Main Author: Gross, Paul W. 1967-
• Other Authors: Kotiuga, P. Robert 1958-
• Format: Electronic eBook
• Language: English
• Published: Cambridge, UK ; New York : Cambridge University Press, ©2004.
• Series: Mathematical Sciences Research Institute publications ; 48.
• Subjects: Electromagnetic theory.; elektronické knihy; electronic books
• ISBN: 9781601197405; 1601197403; 0511216890; 9780511216893; 0511207948; 9780511207945; 051121510X; 9780511215100; 9780511756337; 051175633X; 9780511211522; 051121152X; 9780521175234; 0521175232; 1139882953; 9781139882958; 9786610541270; 6610541272; 0511315570; 9780511315572; 0511213298; 9780511213298; 9780521801607; 0521801605
• Physical Description: 1 online resource (ix, 278 pages) : illustrations
• Access: Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty

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.