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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gross, Paul W. (Paul Wolfgang), 1967-
Otros Autores: Kotiuga, P. Robert (Peter Robert), 1958-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, ©2004.
Colección:Mathematical Sciences Research Institute publications ; 48.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.