180 citations · 1.2k across the 100 of their papers we have counts for
21 papers · 1 filter
A new inversion scheme for elastic diffraction tomography
Bochra Mejri, Otmar Scherzer
We consider the problem of elastic diffraction tomography, which consists in reconstructing elastic properties (i.e. mass density and elastic Lamé parameters) of a weakly scatterin…
Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty
Florian Faucher, Otmar Scherzer
We consider the inverse problem of quantitative reconstruction of properties (e.g., bulk modulus, density) of visco-acoustic materials based on measurements of responding waves aft…
Adjoint-state method for Hybridizable Discontinuous Galerkin discretization, application to the inverse acoustic wave problem
Florian Faucher, Otmar Scherzer
In this paper, we perform non-linear minimization using the Hybridizable Discontinuous Galerkin method (HDG) for the discretization of the forward problem, and implement the adjoin…
Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography
Andrea Aspri, Elena Beretta, Otmar Scherzer +1
In this paper, we derive new asymptotic expansions for the solutions of higher order elliptic equations in the presence of small inclusions. As a byproduct, we derive a topological…
The tangential cone condition for some coefficient identification model problems in parabolic PDEs
Barbara Kaltenbacher, Tram Thi Ngoc Nguyen, Otmar Scherzer
The tangential condition was introduced in [Hanke et al., 95] as a sufficient condition for convergence of the Landweber iteration for solving ill-posed problems. In this paper we…
Preconditioning Inverse Problems for Hyperbolic Equations with Applications to Photoacoustic Tomography
Alexander Beigl, Otmar Scherzer, Jarle Sogn +1
This paper is concerned with robust preconditioning of wave equations constrained linear inverse problems from boundary observation data. The main result of this paper is a concept…