Divergence boundary conditions for vector Helmholtz equations with divergence constraints

Authors
Kangro, U Nicolaides, R
Citation
U. Kangro et R. Nicolaides, Divergence boundary conditions for vector Helmholtz equations with divergence constraints, RAIRO-M MOD, 33(3), 1999, pp. 479-492
Citations number
8
Categorie Soggetti
Mathematics
Journal title
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
33
Issue
3
Year of publication
1999
Pages
479 - 492
Database
ISI
SICI code
0764-583X(199905/06)33:3<479:DBCFVH>2.0.ZU;2-A
Abstract
The idea of replacing a divergence constraint by a divergence boundary cond ition is investigated. The connections between the formulations are conside red in detail. It is shown that the most common methods of using divergence boundary conditions do not always work properly. Necessary and sufficient conditions for the equivalence of the formulations are given.