Convergence of a numerical solver for an ?-linear Beltrami equation |
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Authors: | Allan Per?m?ki |
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Institution: | 1. Mathematics, Aalto University, P.O. Box 11100, 00076, Aalto, Finland
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Abstract: | The convergence of the solution of the discretized ℝ-linear Beltrami equation arising in a recent reconstruction algorithm
for electrical impedance tomography based on the uniqueness proof of Astala–P?iv?rinta is investigated. A new discretization
is introduced for the L
p
-convergence analysis and an O(h
δ
) convergence result is proved given C
δ
-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. |
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Keywords: | |
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