Initial Dirichlet problem for half-plane diffraction: Global formulae for its generalized eigenfunctions, explicit solution by the Cagniard-de Hoop method.
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Meister, E., Rottbrand, K. (1999)
Zeitschrift für Analysis und ihre Anwendungen
Nathalie Bartoli, Francis Collino (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Nathalie Bartoli, Francis Collino (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
A new system of integral equations for the exterior 2D time harmonic scattering problem is investigated. This system was first proposed by B. Després in [11]. Two new derivations of this system are given: one from elementary manipulations of classical equations, the other based on a minimization of a quadratic functional. Numerical issues are addressed to investigate the potential of the method.
Plamen D. Stefanov (1991)
Mathematische Zeitschrift
Mokeeva, N.V. (2005)
Zapiski Nauchnykh Seminarov POMI
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