A prox-based semi-smooth Newton method for TV-minimization that is globally well-posed and locally superlinearly convergent under finite element discretization, extending to broader convex problems.
Gr¨oger, A W 1,p-estimate for solutions to mixed boundary value problems for second order elliptic differential equations,Math
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A $\operatorname{prox}$-Based Semi-Smooth Newton Method for TV-Minimization
A prox-based semi-smooth Newton method for TV-minimization that is globally well-posed and locally superlinearly convergent under finite element discretization, extending to broader convex problems.