The use of parallel imaging for scan time reduction in MRI faces problems with image degradation when using GRAPPA or SENSE for high acceleration factors. Although an inherent loss of SNR in parallelâ€¦ (More)

During the past the convergence analysis for linear statistical inverse problems has mainly focused on spectral cut-off and Tikhonov type estimators. Spectral cut-off estimators achieve minimax ratesâ€¦ (More)

We consider the problem of reconstructing the shape of an acoustic or electromagnetic scatterer from far eld measurements of the scattered wave corresponding to one incident time harmonic wave in theâ€¦ (More)

This paper is concerned with a heat diffusion problem in a halfspace which is motivated by the detection of material defects using thermal measurements. This problem is solved by inverting theâ€¦ (More)

This paper introduces a new type of infinite elements for scattering and resonance problems. They are derived from a variant of the pole condition as radiation condition. This condition states that aâ€¦ (More)

We study the convergence of regularized Newton methods applied to nonlinear operator equations in Hilbert spaces if the data are perturbed by random noise. It is shown that the expected square errorâ€¦ (More)