3 papers
math.NA2020
A Gradient-thresholding Algorithm for Sparse Regularization
Abinash Nayak
Inverse problems arise in a wide spectrum of applications in fields ranging from engineering to scientific computation. Connected with the rise of interest in inverse problems is t…
math.NA2019
Parameter estimation in an elliptic problem
Abinash Nayak
A new variational approach to solve the problem of estimating the (possibly discontinuous) coefficient functions , and in elliptic equations of the form $-\nabla \cdot (…
math.NA2019
Smoothing gradients in iterative regularization
Abinash Nayak
Connected with the rise of interest in inverse problems is the development and analysis of regularization methods, which are a necessity due to the ill-posedness of inverse problem…