Fast Approximate Computation of a Time-Harmonic Scattered Field using the On-Surface Radiation Condition Method
Antoine, Xavier
HAL, hal-00347869 / Harvested from HAL
Text on HAL
The numerical study of the on-surface radiation condition method applied to two- and three-dimensional time-harmonic scattering problems is examined. This approach allows us to quickly compute an approximate solution to the initial exact boundary-value problem. A general background for the numerical treatment of arbitrary convex-shaped objects is stated. New efficient on-surface radiation conditions leading in a natural way to a symmetrical boundary variational formulation are introduced. The approximation is based upon boundary finite-element methods. Moreover, this study requires a specific numerical treatment of the curvature operator. To this end, a numerical procedure using some results about the theory of local approximation of surfaces is described. Finally, the effectiveness and generality of the approach is numerically tested for several scatterers.
Publié le : 2001-07-05
Classification:  scattering,  Helmholtz equation,  surface radiation condition,  boundary finite element method,  curvature operator approximation,  radar cross-section,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00347869,
     author = {Antoine, Xavier},
     title = {Fast Approximate Computation of a Time-Harmonic Scattered Field using the On-Surface Radiation Condition Method},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00347869}
}

Antoine, Xavier. Fast Approximate Computation of a Time-Harmonic Scattered Field using the On-Surface Radiation Condition Method. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00347869/