Work

Quantitative analysis for rod‐shaped inclusion in three‐dimensional conductivity problem

Year: 2024

Type: article

Abstract: We show a quantitative analysis of the perturbed electric field of a 3D anisotropic conductive rod geometry embedded in homogeneous background, which is an extension of the work in 2D case. The solution to the perturbed problem is presented by layer potential techniques, and dedicated asymptotic analysis is employed for characterization of the density function. The asymptotic result shows that near the high curvature boundary of the rod, the electric field is much strong, compared with other parts adjacent to the rod.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10541

Authors: Youjun Deng, Ghadir Shokor

Institution: Central South University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: National Natural Science Foundation of China

Award: G3593043821