TY - JOUR A1 - Böckmann, Christine A1 - Kammanee, Athassawat A1 - Braunss, Andreas T1 - Logarithmic convergence rate of Levenberg-Marquardt method with application to an inverse potential problem JF - Journal of inverse and ill-posed problems N2 - 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. KW - Levenberg-Marquardt method KW - inverse potential problems KW - logarithmic convergence rate KW - discrepancy principle KW - logarithmic source condition Y1 - 2011 U6 - https://doi.org/10.1515/JIIP.2011.034 SN - 0928-0219 VL - 19 IS - 3 SP - 345 EP - 367 PB - De Gruyter CY - Berlin ER -