Iterative methods for solving linear systems
Iterative methods for solving linear systems
Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms
Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms
Elastic-wave identification of penetrable obstacles using shape-material sensitivity framework
Journal of Computational Physics
Journal of Computational Physics
SIAM Journal on Scientific Computing
A two-stage method for inverse medium scattering
Journal of Computational Physics
Enhanced multilevel linear sampling methods for inverse scattering problems
Journal of Computational Physics
Hi-index | 31.47 |
We propose a method for computing the scattering of a time-harmonic electromagnetic wave in a medium with a locally perturbed refractive index. We prove that it converges of arbitrarily high order depending on the smoothness of the refractive index and that the time complexity is O(N^3log(N)). As an application we solve the corresponding inverse problem using a preconditioned Newton method and discuss how to compute the Frechet derivative of the solution operator and its adjoint by the proposed method. The performance of both the forward and the inverse solver is illustrated in a number of numerical experiments.