17 papers
Monotonicity Principle and "p-Laplace Signature" for Tomography in Nonlinear Elliptic Inverse Problems
Gianpaolo Piscitelli, Vincenzo Mottola, Antonello Tamburrino
This paper proposes a framework for treating the inverse obstacle problem for nonlinear elliptic equations with nonlinear materials. The problem is challenging because nonlinear ma…
Adjoint-Based Gradient Evaluation for Metasurface Inverse Design via Affine Geometric Transformations
Vincenzo Mottola, Luisa Faella, Carlo Forestiere +1
The sharp increasing in fabrication capabilities of nanomaterials, and complex structures such as meta-surfaces and metalens, has opened to the possibility of employing them for ac…
QR-Recursive Compression of Volume Integral Equations for Electromagnetic Scattering by Large Metasurfaces
Vincenzo Mottola, Antonello Tamburrino, Luca Bergamaschi +5
In this paper, a novel QR decomposition-based compression scheme is combined with a volume integral equations method for the fast and efficient numerical computation of the scatter…
Invariants in Eddy Current Testing via Dimensional Analysis
Vincenzo Mottola, Alessandro Sardellitti, Filippo Milano +3
The Buckingham's , theorem has been recently introduced in the context of Non destructive Testing \& Evaluation (NdT\&E) , giving a theoretical basis for developing simple but e…
Monotonicity of the Laplace Transform for Tomography in Dissipative Systems
Antonello Tamburrino, Antonio Corbo Esposito, Gianpaolo Piscitelli
This paper addresses the problem of tomography for the interior of dissipative materials, with a focus on Magnetic Induction Tomography (MIT), a proven technique for imaging the in…
The inverse obstacle problem for nonlinear inclusions
Vincenzo Mottola, Antonio Corbo Esposito, Luisa Faella +3
The Monotonocity Principle (MP), stating a monotonic relationship between a material property and a proper corresponding boundary operator, is attracting great interest in the fiel…