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Divergence boundary conditions for vector Helmholtz equations with divergence constraints

Urve KangroRoy Nicolaides — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

The idea of replacing a divergence constraint by a divergence boundary condition is investigated. The connections between the formulations are considered 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.

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