Electromagnetic Theory and Computation
by Paul W Gross (9780521801607)

Electromagnetic Theory and Computation
 
Paul W Gross
Release Date: 29 Dec 2004
Format: Hardback
Pages: 288
Category: Topology
ISBN: 9780521801607
ISBN-10: 0521801605



Though its relationship with electromagnetic boundary value problems has long been recognized, topology is still a largely unexploited tool in problem formulation and computational methods for electromagnetic fields. The development of algebraic topology since the time of Maxwell provides a framework for linking data structures, algorithms, and computation to topological aspects of 3-dimensional electromagnetic boundary value problems. This book exposes the link between Maxwell and a modern approach to algorithms through algebraic topology. The first chapters lay out relevant structures from homology theory, differential forms, and Hodge decompositions with an interpretation for electromagnetism. These topological structures are subsequently linked to variational formulations in electromagnetics, the finite element method, algorithms, and certain aspects of the associated numerical linear algebra. While not directed primarily towards applications, a recurring theme is formulation of and algorithms for the problem of making branch cuts for computing magnetic scalar potentials and eddy currents.

AUD $155.00

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