Gespeichert in:
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2004
|
| Schriftenreihe: | Mathematical Sciences Research Institute publications
48 |
| Links: | https://doi.org/10.1017/CBO9780511756337 |
| Zusammenfassung: | 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, first published in 2004, 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. |
| Umfang: | 1 Online-Ressource (ix, 278 Seiten) |
| ISBN: | 9780511756337 |
Internformat
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| 520 | |a 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, first published in 2004, 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. | ||
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| spelling | Gross, Paul W. 1967- Electromagnetic theory and computation a topological approach Paul W. Gross, P. Robert Kotiuga Electromagnetic Theory & Computation Cambridge Cambridge University Press 2004 1 Online-Ressource (ix, 278 Seiten) txt c cr Mathematical Sciences Research Institute publications 48 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, first published in 2004, 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. Kotiuga, P. Robert 1958- Erscheint auch als Druck-Ausgabe 9780521175234 Erscheint auch als Druck-Ausgabe 9780521801607 |
| spellingShingle | Gross, Paul W. 1967- Electromagnetic theory and computation a topological approach |
| title | Electromagnetic theory and computation a topological approach |
| title_alt | Electromagnetic Theory & Computation |
| title_auth | Electromagnetic theory and computation a topological approach |
| title_exact_search | Electromagnetic theory and computation a topological approach |
| title_full | Electromagnetic theory and computation a topological approach Paul W. Gross, P. Robert Kotiuga |
| title_fullStr | Electromagnetic theory and computation a topological approach Paul W. Gross, P. Robert Kotiuga |
| title_full_unstemmed | Electromagnetic theory and computation a topological approach Paul W. Gross, P. Robert Kotiuga |
| title_short | Electromagnetic theory and computation |
| title_sort | electromagnetic theory and computation a topological approach |
| title_sub | a topological approach |
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