Year: 2008
Author: Changhui Yao
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 516–526
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-824
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 3 : pp. 516–526
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: TV-regularization regularized parameter finite element method.