@Article{CMR-31-351,
author = {Kim , Kwang-Il and Son , Yong-Chol},
title = {Stability of Semi-Implicit Finite Volume Scheme for Level Set Like Equation},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {31},
number = {4},
pages = {351--361},
abstract = {<p style="text-align: justify;">We study numerical methods for level set like equations arising in image processing and curve evolution problems. Semi-implicit finite volume-element
type schemes are constructed for the general level set like equation (image selective
smoothing model) given by Alvarez et al. (Alvarez L, Lions P L, Morel J M. Image
selective smoothing and edge detection by nonlinear diffusion II. SIAM J. Numer.
Anal., 1992, 29: 845–866). Through the reasonable semi-implicit discretization in
time and co-volume method for space approximation, we give finite volume schemes,
unconditionally stable in $L_∞$ and $W^{1,2} (W^{1,1})$ sense in isotropic (anisotropic) diffusion domain.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2015.04.07},
url = {http://global-sci.org/intro/article_detail/cmr/18919.html}
}