3 papers
math.AP2025
Analysis and Simulation of Plasmons in Graphene with Time- and Space-dependent Drude Weight
Fadil Santosa, Tong Shi
We study the propagation of plasmons on graphene. The problem is considered in two dimensions with a transverse magnetic (TM) electromagnetic field. The graphene material is assume…
math.AP2025
Well-posed Questions for Ill-posed Inverse Problems: a Note in Memory of Pierre Sabatier
Gaoming Chen, Fadil Santosa, William W. Symes
Professor Pierre Sabatier contributed much to the study of inverse problems in theory and practice. Two of these contributions were a focus on theory that actually supports practic…
math.NA2024
Determination of a Small Elliptical Anomaly in Electrical Impedance Tomography using Minimal Measurements
Gaoming Chen, Fadil Santosa, Aseel Titi
We consider the problem of determining a small elliptical conductivity anomaly in a unit disc from boundary measurements. The conductivity of the anomaly is assumed to be a small p…