Lumped Element Method Based Conductivity Reconstruction Algorithm for Localization Using Symmetric Discrete Operators on Coarse Meshes

The inverse conductivity problem in electrical impedance tomography involves the solving of a nonlinear and under-determined system equations. This paper presents new approach, which leads to quadratic overdetermined aim is establish research directions handling problem. basis proposed method that material, can be considered as an isotropic continuum, modeled linear network with concentrated parameters. weights obtained graph represent properties discretized continuum. Further, application developed procedure allows for dielectric constant used multi-frequency result optimized equations always remains overdetermined. Through case studies, efficacy reconstruction by changing mesh resolution applied discretizing presented evaluated. results show, that, due discrete, symmetric mathematical structures, approach even at coarse capable localizing inhomogeneities material.