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saddle point problems.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Integral Equations VIA Saddle Point Problem for 2D Electromagnetic Problems
Nathalie Bartoli, Francis Collino
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 34 / Issue 5 / September 2000

Published online by Cambridge University Press:

15 April 2002, pp. 1023-1049

Print publication:

September 2000
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A new system of integral equations for the exterior 2D time harmonicscattering problem is investigated. This system was first proposed by B. Després in [11]. Two new derivations of this system are given:one from elementary manipulationsof classical equations, the other based on a minimization of a quadratic functional. Numerical issues are addressed to investigate the potentialof the method.