RICE UNIVERSITY Resistor Network Approaches to the Numerical Solution of Electrical Impedance Tomography with Partial Boundary Measurements
نویسندگان
چکیده
Resistor Network Approaches to the Numerical Solution of Electrical Impedance Tomography with Partial Boundary Measurements
منابع مشابه
Circular resistor networks for electrical impedance tomography with partial boundary measurements
We introduce an algorithm for the numerical solution of electrical impedance tomography (EIT) in two dimensions, with partial boundary measurements. The algorithm is an extension of the one in [11, 49] for EIT with full boundary measurements. It is based on resistor networks that arise in finite volume discretizations of the elliptic partial differential equation for the potential, on so-called...
متن کاملElectrical impedance tomography with resistor networks
We introduce a novel inversion algorithm for electrical impedance tomography in two dimensions, based on a model reduction approach. The reduced models are resistor networks that arise in five point stencil discretizations of the elliptic partial differential equation satisfied by the electric potential, on adaptive grids that are computed as part of the problem. We prove the unique solvability...
متن کاملStudy of Noise Effects in Electrical Impedance Tomography with Resistor Networks
We present a study of the numerical solution of the two dimensional electrical impedance tomography problem, with noisy measurements of the Dirichlet to Neumann map. The inversion uses parametrizations of the conductivity on optimal grids. The grids are optimal in the sense that finite volume discretizations on them give spectrally accurate approximations of the Dirichlet to Neumann map. The ap...
متن کاملModel order reduction for the numerical solution of diffusive inverse problems
We present a general framework for the numerical solution of ill-posed inverse problems with boundary data for the coefficients of diffusive partial differential equations (PDEs). This includes elliptic equations of electrical impedance tomography (EIT) problem with Dirichlet-to-Neumann (DtN) map data and parabolic equations of the controlled source electromagnetic (CSEM) problem with the time ...
متن کاملOn applying stochastic Galerkin finite element method to electrical impedance tomography
Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Matti Leinonen Name of the doctoral dissertation On applying stochastic Galerkin finite element method to electrical impedance tomography Publisher School of Science Unit Department of Mathematics and Systems Analysis Series Aalto University publication series DOCTORAL DISSERTATIONS 135/2015 Field of research Mathematics Manus...
متن کامل