An Adaptive Finite Element/Finite Difference Domain Decomposition Method for Applications in Microwave Imaging

Electronics

Larisa Beilina¹  Eric Lindström¹ 

[1] Department of Mathematical Sciences, Chalmers University of Technology, 41296 Gothenburg, Sweden;

关键词: Maxwell’s equations;    conductive media;    microwave imaging;    coefficient inverse problem;    adaptive finite element method;    finite difference method;   

DOI  :  10.3390/electronics11091359

来源: DOAJ

【 摘 要 】

A new domain decomposition method for Maxwell’s equations in conductive media is presented. Using this method, reconstruction algorithms are developed for the determination of the dielectric permittivity function using time-dependent scattered data of an electric field. All reconstruction algorithms are based on an optimization approach to find the stationary point of the Lagrangian. Adaptive reconstruction algorithms and space-mesh refinement indicators are also presented. Our computational tests show the qualitative reconstruction of the dielectric permittivity function using an anatomically realistic breast phantom.

【 授权许可】

Unknown