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A convergence study of the forward problem of electrical impedance tomography is performed using triangular high-order piecewise polynomial finite-element methods (p-FEM) on a square domain. The computation of p-FEM for the complete electrode model (CEM) is outlined and a novel analytic solution to the CEM on a square domain is presented. Errors as a function of mesh-refinement and computational time, as well as convergence rates as a function of contact impedance, are computed numerically for different polynomial approximation orders. It is demonstrated that p-FEM can generate more accurate forward solutions in less computational time, which implies more accurate simulated interior potentials, electrode voltages and conductivity Jacobians.
- Elliptic partial differential equations; high-order finite elements; complete electrode model; electrical impedance tomography; numerical convergence
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- 2 Finished
GLOBAL- Manchester Image Reconstruction and ANalysis (MIRAN): Step jumps in imaging by Global Exchange of user pull and method push
1/04/12 → 31/03/13