Bayliss-Turkel-like Radiation Condition on Surfaces of Arbitrary Shape
Antoine, Xavier ; Barucq, Hélène ; Bendali, Abderrahmane
HAL, hal-00347868 / Harvested from HAL
Text on HAL
This paper addresses the extension of the Bayliss–Turkel second-order radiation condition to an arbitrarily shaped surface. The derivation is based mainly on the pseudo-differential calculus as well as on the introduction of a criterion providing a precise handling of the approximation process involved in the derivation of the radiation condition. The radiation condition then ranges among the most accurate of those of order two. As a by-product of the derivation, almost all known radiation conditions of order less than or equal to two are recovered and their respective accuracies are compared.
Publié le : 1999-07-05
Classification:  Absorbing boundary conditions,  Helmholtz equation,  wave equation,  pseudo-differential operators,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00347868,
     author = {Antoine, Xavier and Barucq, H\'el\`ene and Bendali, Abderrahmane},
     title = {Bayliss-Turkel-like Radiation Condition on Surfaces of Arbitrary Shape},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00347868}
}

Antoine, Xavier; Barucq, Hélène; Bendali, Abderrahmane. Bayliss-Turkel-like Radiation Condition on Surfaces of Arbitrary Shape. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00347868/