
An inverse acousticelastic interaction problem with phased or phaseless farfield data
Consider the scattering of a timeharmonic acoustic plane wave by a boun...
read it

LowDimensional Spatial Embedding Method for Shape Uncertainty Quantification in Acoustic Scattering
This paper introduces a novel boundary integral approach of shape uncert...
read it

Inverse scattering reconstruction of a three dimensional soundsoft axissymmetric impenetrable object
In this work, we consider the problem of reconstructing the shape of a t...
read it

Isogeometric multilevel quadrature for forward and inverse random acoustic scattering
We study the numerical solution of forward and inverse acoustic scatteri...
read it

A fast solver for the narrow capture and narrow escape problems in the sphere
We present an efficient method to solve the narrow capture and narrow es...
read it

An inverse spectral problem for a damped wave operator
This paper proposes a new and efficient numerical algorithm for recoveri...
read it

Highfrequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem
We study a commonlyused secondkind boundaryintegral equation for solv...
read it
A spectrally accurate method for the dielectric obstacle scattering problem and applications to the inverse problem
We analyze the inverse problem to reconstruct the shape of a three dimensional homogeneous dielectric obstacle from the knowledge of noisy far field data. The forward problem is solved by a system of second kind boundary integral equations. For the numerical solution of these coupled integral equations we propose a fast spectral algorithm by transporting these equations onto the unit sphere. We review the differentiability properties of the boundary to far field operator and give a characterization of the adjoint operator of the first Fréchet derivative. Using these results we discuss the implementation of the iteratively regularized GaussNewton method for the numerical solution of the inverse problem and give numerical results for starshaped obstacles.
READ FULL TEXT
Comments
There are no comments yet.