Finite Element Approximation for TV Regularization

Finite Element Approximation for TV Regularization

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.

Author Details

Changhui Yao