We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
HELMHOLTZ'S THEOREM WHEN THE DOMAIN IS INFINITE AND WHEN THE FIELD HAS SINGULAR POINTS.
- Authors
GREGORY, R. DOUGLAS
- Abstract
A direct proof, based on classical analysis, is given to extend Helmholtz's fundamental theorem of vector analysis to cases in which the domain is infinite and/or the field u(r) has isolated singular points. No restriction whatsoever is placed upon the growth of u(r) as ‖r‖⇒∝, or as the singular points are approached. Consequently all representation theorems dependent upon Helmholtz's theorem are also freed from such restrictions
- Subjects
HELMHOLTZ equation; INFINITE element method; FUNDAMENTAL theorem of algebra; MATHEMATICAL singularities; REPRESENTATION theory
- Publication
Quarterly Journal of Mechanics & Applied Mathematics, 1996, Vol 49, Issue 3, p439
- ISSN
0033-5614
- Publication type
Article
- DOI
10.1093/qjmam/49.3.439