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A least-squares method for axisymmetric div–curl systems.
- Source :
-
Numerical Linear Algebra with Applications . Nov2006, Vol. 13 Issue 9, p733-752. 20p. 1 Diagram, 2 Charts. - Publication Year :
- 2006
-
Abstract
- We present a negative-norm least-squares method for axisymmetric div–curl systems arising from Maxwell's equations for electrostatics and magnetostatics in three dimensions. The method approximates the solution in a two-dimensional meridian plane. To achieve this dimension reduction, we must work with weighted spaces in cylindrical co-ordinates. In this setting, a stable pair of approximation spaces is developed and analysed. We also report the results of some numerical experiments, which demonstrate a quasi-optimal convergence rate and a robustness with respect to the domain and coefficients. Copyright © 2006 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10705325
- Volume :
- 13
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Numerical Linear Algebra with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 22807346
- Full Text :
- https://doi.org/10.1002/nla.495