40 citations · 173 across the 17 of their papers we have counts for
18 papers
Positive Jacobian constraints for elliptic boundary value problems with piecewise-regular coefficients arising from multi-wave inverse problems
Yves Capdeboscq, Tianrui Dai
Multi-wave inverse problems are indirect imaging methods using the interaction of two different imaging modalities. One brings spatial accuracy, and the other contrast sensitivity.…
On optimal cloaking-by-mapping transformations
Yves Capdeboscq, Michael Vogelius
A central ingredient of cloaking-by-mapping is the diffeomorphisn which transforms an annulus with a small hole into an annulus with a finite size hole, while being the identity on…
An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering
Yves Capdeboscq, Roland Griesmaier, Marvin Knöller
We consider the scattering of time-harmonic electromagnetic waves by a penetrable thin tubular scattering object in three-dimensional free space. We establish an asymptotic represe…
Finite Element Approximation of Elliptic Homogenization Problems in Nondivergence-Form
Yves Capdeboscq, Timo Sprekeler, Endre Süli
We use uniform estimates to obtain corrector results for periodic homogenization problems of the form subject to a homogeneous…
Combining the Runge approximation and the Whitney embedding theorem in hybrid imaging
Giovanni S. Alberti, Yves Capdeboscq
This paper addresses enforcing non-vanishing constraints for solutions to a second order elliptic partial differential equation by appropriate choices of boundary conditions. We sh…
On the randomised stability constant for inverse problems
Giovanni S. Alberti, Yves Capdeboscq, Yannick Privat
In this paper we introduce the randomised stability constant for abstract inverse problems, as a generalisation of the randomised observability constant, which was studied in the c…