Series on Advances in Mathematics for Applied Sciences - Vol. 41
MATHEMATICAL METHODS IN ELECTROMAGNETISM
Linear Theory and Applications
by M Cessenat (CEA/DAM, France)
This book provides the reader with basic tools to solve problems of electromagnetism in their natural functional frameworks thanks to modern mathematical methods: integral surface methods, and also semigroups, variational methods, etc., well adapted to a numerical approach.
As examples of applications of these tools and concepts, we solve several fundamental problems of electromagnetism, stationary or time-dependent: scattering of an incident wave by an obstacle, bounded or not, by gratings; wave propagation in a waveguide, with junctions and cascades. We hope that mathematical notions will allow a better understanding of modelization in electromagnetism and emphasize the essential features related to the geometry and nature of materials.
Contents:
- Mathematical Modelling of the Electromagnetic Field in Continuous
Media: Maxwell Equations and Constitutive Relations
- Mathematical Framework for Electromagnetism
- Stationary Scattering Problems with Bounded Obstacles
- Waveguide Problems
- Stationary Scattering Problems on Unbounded Obstacles
- Evolution Problems
- Appendix — Differential Geometry for Electromagnetism
- References
- Index
- Notations
Readership: Applied mathematicians.
“I would recommend it to anyone interested in the analysis or numerical analysis of Maxwell’s equations for its up-to-date and extensive treatment of the problem.”
| 396pp |
Pub. date: Jul 1996 |
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