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Antonios Charalambopoulos Vanessa Markaki Drosos Kourounis 《Mathematical Methods in the Applied Sciences》2020,43(8):5032-5072
In this work, a novel approach for the solution of the inverse conductivity problem from one and multiple boundary measurements has been developed on the basis of the implication of the framework of functions. The space of the functions of bounded variation is recommended here as the most appropriate functional space hosting the conductivity profile under reconstruction. For the numerical investigation of the inversion of the inclusion problem, we propose and implement a suitable minimization scheme of an enriched—constructed herein—functional, by exploiting the inner structure of space. Finally, we validate and illustrate our theoretical results with numerical experiments. 相似文献
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