Convergence of a numerical solver for an a"e-linear Beltrami equation
The convergence of the solution of the discretized a"e-linear Beltrami equation arising in a recent reconstruction algorithm for electrical impedance tomography based on the uniqueness proof of Astala-Paivarinta is investigated. A new discretization is introduced for the L (p) -convergence analysis and an O(h (delta) ) convergence result is proved given C (delta) -continuous coefficient functions. Numerical comparisons are made between three different methods. These suggest that the polar coordinate discretization method of Daripa applied in the present context is preferable.
convergence beltrami equation discretization electrical impedance tomography