On the hphp-adaptive solution of complete electrode model forward problems of electrical impedance tomography

Electrical impedance tomography is a noninvasive imaging technique based on measurements of currents and voltages on the boundary of the object of interest. The most accurate forward model for impedance tomography is the complete electrode model that takes into account the electrode shapes and the contact impedances at the corresponding interfaces; many practical reconstruction algorithms of electrical impedance tomography require repetitive computation of accurate forward solutions for the complete model. In this work, we introduce an hphp-adaptive finite element method for solving the complete electrode forward problem and demonstrate its functionality via two-dimensional numerical studies.