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divergence constraints.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Divergence boundary conditions for vector Helmholtz equations withdivergence constraints
Urve Kangro, Roy Nicolaides
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 33 / Issue 3 / May 1999

Published online by Cambridge University Press:

15 August 2002, pp. 479-492

Print publication:

May 1999
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The idea of replacing a divergence constraint by a divergence boundarycondition is investigated. The connections between the formulations areconsidered in detail. It is shown that the most common methods of usingdivergence boundary conditions do not always work properly. Necessaryand sufficient conditions for the equivalence of the formulations aregiven.