Perona-malik equation - Error estimates for explicit finite volume scheme

被引：0
|
作者：
Handlovičová, A. [1 ]
Krivá, Z. [1 ]
机构：
[1] Department of Mathematics, Slovak University of Technology, Radlinskeho 11, 81368 Bratislava, Slovakia
来源：
Mathematical Modelling and Analysis | 2005年 / 10卷 / 04期
关键词：
Errors - Finite volume method - Numerical methods - Partial differential equations;
D O I：
10.3846/13926292.2005.9637293
中图分类号：
学科分类号：
摘要：
Error estimates in the L2 norm for the explicit fully discrete numerical finite volume scheme are derived and proved for Perona-Malik equation. Numerical example is also presented. © 2005 Technika.
引用
收藏
页码：353 / 366
相关论文
共 50 条
  • [21] New estimation method of the contrast parameter for the Perona-Malik diffusion equation
    Borroto-Fernandez, M.
    Gonzalez-Hidalgo, M.
    Leon-Mecias, A.
    COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING-IMAGING AND VISUALIZATION, 2016, 4 (3-4): : 238 - 252
  • [22] Existence result and approximation of an optimal control problem for the Perona-Malik equation
    Kogut, Peter
    Kohut, Yaroslav
    Manzo, Rosanna
    RICERCHE DI MATEMATICA, 2024, 73 (04) : 1945 - 1962
  • [23] SLOW TIME BEHAVIOR OF THE SEMIDISCRETE PERONA-MALIK SCHEME IN ONE DIMENSION
    Colombo, Maria
    Gobbino, Massimo
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2011, 43 (06) : 2564 - 2600
  • [24] A Two Level Finite Volume Method for Perona and Malik Equation Used in Denoising
    He, Guoliang
    Yang, Liu
    2016 9TH INTERNATIONAL CONGRESS ON IMAGE AND SIGNAL PROCESSING, BIOMEDICAL ENGINEERING AND INFORMATICS (CISP-BMEI 2016), 2016, : 240 - 245
  • [25] IMAGE RESTORATION USING A NOVEL MODEL COMBINING THE PERONA-MALIK EQUATION AND THE HEAT EQUATION
    Lecheheb, Samira
    Maouni, Messaoud
    Lakhal, Hakim
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2021, 19 (02): : 228 - 238
  • [26] ADMM algorithm for some regularized Perona-Malik equation and applications to image denoising
    Sniba, Farah
    Karami, Fahd
    Meskine, Driss
    SIGNAL IMAGE AND VIDEO PROCESSING, 2023, 17 (03) : 609 - 617
  • [27] A CLASS OF LOCAL CLASSICAL SOLUTIONS FOR THE ONE-DIMENSIONAL PERONA-MALIK EQUATION
    Ghisi, Marina
    Gobbino, Massimo
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (12) : 6429 - 6446
  • [28] HPM-Based Dynamic Sparse Grid Approach for Perona-Malik Equation
    Mei, Shu-Li
    Zhu, De-Hai
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [29] CONVERGENCE FOR LONG-TIMES OF A SEMIDISCRETE PERONA-MALIK EQUATION IN ONE DIMENSION
    Bellettini, G.
    Novaga, M.
    Paolini, M.
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2011, 21 (02): : 241 - 265
  • [30] Combining SVD-DCT Image Watermarking Scheme Based on Perona-Malik Diffusion
    Belilita, Sarra
    Amardjia, Nourredine
    Bekkouche, Tewfik
    Nouioua, Imen
    ELEKTRONIKA IR ELEKTROTECHNIKA, 2019, 25 (04) : 68 - 74
12345