Prefer a chat interface with context about you and your work?
Quadratic convergence of Levenberg-Marquardt method for elliptic and parabolic inverse robin problems
We study the Levenberg-Marquardt (L-M) method for solving the highly nonlinear and ill-posed inverse problem of identifying the Robin coefficients in elliptic and parabolic systems. The L-M method transforms the Tikhonov regularized nonlinear non-convex minimizations into convex minimizations. And the quadratic convergence of the L-M method is rigorously established for …