TY - JOUR
T1 - Finite Element Approximation for TV Regularization
AU - Yao , Changhui
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 516
EP - 526
PY - 2008
DA - 2008/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/824.html
KW - TV-regularization, regularized parameter, finite element method.
AB - <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>