15 citations · 46 across the 8 of their papers we have counts for
4 papers · 1 filter
Sequential bi-level regularized inversion with application to hidden reaction law discovery
Tram Thi Ngoc Nguyen
In this article, we develop and present a novel regularization scheme for ill-posed inverse problems governed by nonlinear time-dependent partial differential equations (PDEs). In…
Bi-level iterative regularization for inverse problems in nonlinear PDEs
Tram Thi Ngoc Nguyen
We investigate the ill-posed inverse problem of recovering unknown spatially dependent parameters in nonlinear evolution PDEs. We propose a bi-level Landweber scheme, where the upp…
Discretization of parameter identification in PDEs using Neural Networks
Barbara Kaltenbacher, Tram Thi Ngoc Nguyen
We consider the ill-posed inverse problem of identifying a nonlinearity in a time-dependent PDE model. The nonlinearity is approximated by a neural network, and needs to be determi…
On numerical aspects of parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging
Tram Thi Ngoc Nguyen, Anne Wald
The Landau-Lifshitz-Gilbert equation yields a mathematical model to describe the evolution of the magnetization of a magnetic material, particularly in response to an external appl…