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In this paper, aiming at the severely non-linear and ill-posed in electrical impedance tomography (EIT), trust region (TR) method is proposed. The calculation steps of TR method are deduced for solving EIT inverse problem. Simulations for EIT boundary image reconstruction are realized based on the TR method. The effects of different numbers of boundary elements and different conductivity multiples are investigated. The effect of noise is also researched. Simulation results indicate that, stably and precise results of the boundary reconstruction can be obtained by the TR method.