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, algorithms, and computation to topological aspects of three-dimensional electromagnetic boundary value problems. This book 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.Author: Gross, Paul W.,author,Kotiuga, P. Robert,author Contributors: Gross, Paul W.,author,Kotiuga, P. Robert,author Binding: hardcover Publication Date: Release Date: Languages: English,Published,English,Original Language,Englis Format: illustrated Edition: Illustrated Published/Release Date: 14 Jun 2004 Format: Hardback Publisher/Studio/Brand: Cambridge University Press Author/Director/Artist: Paul W. Gross Dimension (cm): 235x159x19 mm Package Dimension (cm): 23x236x160 mm Item Weight (g): 580 Package Weight (g): 567