Manifold and metric in numerical solution of the quasi-static electromagnetic boundary value problems
| dc.creator | Raumonen, Pasi | |
| dc.creator | Suuriniemi, Saku | |
| dc.creator | Tarhasaari, Timo | |
| dc.creator | Kettunen, Lauri | |
| dc.date | 2007-10-09 | |
| dc.date.accessioned | 2026-07-07T08:35:02Z | |
| dc.date.available | 2026-07-07T08:35:02Z | |
| dc.description | 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. | |
| dc.description | 25 pages, 12 figures | |
| dc.identifier | https://arxiv.org/abs/0710.1747 | |
| dc.identifier | http://arxiv.org/abs/0710.1747 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139635 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35J25, 35K20, 53B50, 58A99 | |
| dc.title | Manifold and metric in numerical solution of the quasi-static electromagnetic boundary value problems | |
| dc.type | text |