A high order spectral algorithm for elastic obstacle scattering in three dimensions

A high order spectral algorithm for elastic obstacle scattering in three dimensions

In this paper we describe a high order spectral algorithm for solving the time-harmonic Navier equations in the exterior of a bounded obstacle in three space dimensions, with Dirichlet or Neumann boundary conditions. Our approach is based on combined-field boundary integral equation (CFIE) reformulations of the Navier equations. We extend the spectral method developped by Ganesh and Hawkins [12...

An efficient high-order algorithm for acoustic scattering from penetrable thin structures in three dimensions.

This paper presents a high-order accelerated algorithm for the solution of the integral-equation formulation of volumetric scattering problems. The scheme is particularly well suited to the analysis of "thin" structures as they arise in certain applications (e.g., material coatings); in addition, it is also designed to be used in conjunction with existing low-order FFT-based codes to upgrade th...

A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering

An efficient and high-order algorithm for three-dimensional bounded obstacle scattering is developed. The method is a non-trivial extension of recent work of the authors for two-dimensional bounded obstacle scattering, and is based on a boundary perturbation technique coupled to a well-conditioned high-order spectral-Galerkin solver. This boundary perturbation approach is justified by rigorous ...

Inverse obstacle scattering for elastic waves

A fast and high-order method for the three-dimensional elastic wave scattering problem

Article history: Received 2 April 2013 Received in revised form 27 October 2013 Accepted 11 November 2013 Available online 18 November 2013