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Diffraction d'une Onde Acoustique par une Paroi Absorbante: Nouvelles Equations Intégrales
Author(s) -
Bamberger A.,
Ha Duong T.,
Nedelec J. C.
Publication year - 1987
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670090131
Subject(s) - mathematics , mathematical analysis , diffraction , boundary (topology) , integral equation , mathematical physics , physics , optics
We present here a new formulation of the exterior Robin problem of the reduced wave equation, using boundary integrals with the jumps of the function and its normal derivative as variables. Our system of integral equations present an important advantage for any numerical purpose: it can be transformed in a variational problem where the sesqui‐linear form is coercive and is exempt of hyper singular integrals.