@article{542faa29856b4ccba73a8c56e16c9bfb,
title = "Numerical computations of split Bregman method for fourth order total variation flow",
abstract = "The split Bregman framework for Osher-Sol{\'e}-Vese (OSV) model and fourth order total variation flow are studied. We discretize the problem by piecewise constant function and compute ∇(−Δav)−1 approximately and exactly. Furthermore, we provide a new shrinkage operator for Spohn's fourth order model. Numerical experiments are demonstrated for fourth order problems under periodic boundary condition.",
keywords = "Fourth order model, Osher-Sol{\'e}-Vese model, Singular diffusion, Split Bregman, Surface relaxation, Total variation flow",
author = "Yoshikazu Giga and Yuki Ueda",
note = "Funding Information: A part of the work of the second author was done when he was a postdoc fellow at the University of Tokyo. Its hospitality is gratefully acknowledged. The work of the first author was partly supported by the Japan Society for the Promotion of Science through the grant No. 26220702 (Kiban S), No. 19H00639 (Kiban A), No. 18H05323 (Kaitaku), No. 17H01091 (Kiban A) and No. 16H03948 (Kiban B). Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",
year = "2020",
month = mar,
day = "15",
doi = "10.1016/j.jcp.2019.109114",
language = "English",
volume = "405",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",
}