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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
©2004.
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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.