Electromagnetic theory and computation : a topological approach / Paul W. Gross, P. Robert Kotiuga.
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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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
©2004.
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| Series: | Mathematical Sciences Research Institute publications ;
48. |
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| Local Note: | ProQuest Ebook Central |
Table of Contents:
- 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.