@article{PornsawadSungcharoenBoeckmann2020,
  author    = {Pornsawad, Pornsarp and Sungcharoen, Parada and B{\"o}ckmann, Christine},
  title     = {Convergence rate of the modified Landweber method for solving inverse potential problems},
  series = {Mathematics : open access journal},
  volume    = {8},
  journal   = {Mathematics : open access journal},
  number    = {4},
  publisher = {MDPI},
  address   = {Basel},
  issn      = {2227-7390},
  doi       = {10.3390/math8040608},
  pages     = {22},
  year      = {2020},
  abstract  = {In this paper, we present the convergence rate analysis of the modified Landweber method under logarithmic source condition for nonlinear ill-posed problems. The regularization parameter is chosen according to the discrepancy principle. The reconstructions of the shape of an unknown domain for an inverse potential problem by using the modified Landweber method are exhibited.},
  language  = {en}
}
@article{BoeckmannKammaneeBraunss2011,
  author    = {B{\"o}ckmann, Christine and Kammanee, Athassawat and Braunss, Andreas},
  title     = {Logarithmic convergence rate of Levenberg-Marquardt method with application to an inverse potential problem},
  series = {Journal of inverse and ill-posed problems},
  volume    = {19},
  journal   = {Journal of inverse and ill-posed problems},
  number    = {3},
  publisher = {De Gruyter},
  address   = {Berlin},
  issn      = {0928-0219},
  doi       = {10.1515/JIIP.2011.034},
  pages     = {345 -- 367},
  year      = {2011},
  abstract  = {We prove logarithmic convergence rate of the Levenberg-Marquardt method in a Hilbert space if a logarithmic source condition is satisfied. This method is applied to an inverse potential problem. Numerical implementations demonstrate the convergence rate.},
  language  = {en}
}