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Convergence rates for Tikhonov regularization of coefficient identification in steady-state diffusion problems[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(2).
Citation: Convergence rates for Tikhonov regularization of coefficient identification in steady-state diffusion problems[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(2).
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Convergence rates for Tikhonov regularization of coefficient identification in steady-state diffusion problems

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  • A steady-state diffusion equation with mixed boundary values is investigated. If the conductivity \alpha(x) is unknown, with the measured data z^\delta=u(x) in \Omega, the \alpha(x) can be uniquely determined. In addition, under a simple source condition, the convergence rates for the regularized solutions and approximate conductivity are achieved.
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