Manifold and metric in numerical solution of the quasi-static electromagnetic boundary value problems

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Classical vector analysis is the predominant formalism used by engineers of computational electromagnetism, despite the fact that manifold as a theoretical concept has existed for a century. This paper discusses the benefits of manifolds over the traditional approach in practical problems of modelling. With a structural approach, it outlines the role and interdependence of coordinate systems, metric, constitutive equations, and fields, and relates them to practical problems of quasi-static computational electromagnetics: mesh generation, open-boundary problems, and electromagnetic-mechanical coupled problems involving motion and deformation. The proposed procedures also imply improvements to the flexibility of the modelling software.
25 pages, 12 figures

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Mathematical Physics, 35J25, 35K20, 53B50, 58A99

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http://salesiana.dossiersoluciones.com/handle/123456789/139635

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.1747
 http://arxiv.org/abs/0710.1747

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arXiv