Discretization Error and the EIT Forward Problem

Autor: Flavio A. Nakadaira Filho, Renato Seiji Tavares, Marcos de Sales Guerra Tsuzuki, Raul Gonzalez Lima, Thiago de Castro Martins
Rok vydání: 2014
Předmět:
Zdroj: IFAC Proceedings Volumes. 47:7535-7540
ISSN: 1474-6670
Popis: Electrical impedance tomography is a portable imaging technique in which the image represents internal conductivities within a body. Electrical measurements are made at the body surface, and the internal conductivities are calculated. It is an inverse problem that can be solved by comparing simulated results obtained from numerical simulations performed by the forward problem and measured data. In this approach, the forward problem has a very important role. The forward problem can be solved by the finite element method, and it is mainly influenced by the mesh creation algorithm and the electrode model. This work proposes a mesh that has more elements in the boundary and fewer elements in the center. The electrode model is approximately a rectangular element in which the potentials at the external nodes are considered the same. This fact can reduce the number of variables as it will be shown. The proposed mesh creation algorithm is analyzed according to the discretization error theory. It is concluded that meshes with higher density in the external ring have smaller discretization errors.
Databáze: OpenAIRE