@Article{IJNAM-5-3,
author = {Yao, Changhui},
title = {Finite Element Approximation for TV Regularization},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2008},
volume = {5},
number = {3},
pages = {516--526},
abstract = {<p style="text-align: justify;">In this paper, we will develop the convergence of the
solution of TV-regularization equations with regularized parameter $\varepsilon \rightarrow 0$ in BV($\Omega$) for practical purposes. Originated from the
effects of regularized parameter $\varepsilon$, the error rate of finite element
approximation for TV-regularization equations will be controlled by the
regularized parameter $\varepsilon^{-1}$ polynomially in the energy norm when
using linearization technique and duality argument. And in the $L^p$-norm,
the effect of regularized parameter $\varepsilon$ will be more extremely.</p>},
issn = {2617-8710},
doi = {https://doi.org/2008-IJNAM-824},
url = {https://global-sci.com/article/83722/finite-element-approximation-for-tv-regularization}
}