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
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
  • [41] Error estimate of the finite volume scheme for the Allen–Cahn equation
    Pavel Strachota
    Michal Beneš
    BIT Numerical Mathematics, 2018, 58 : 489 - 507
  • [42] Some Abstract Error Estimates of a Finite Volume Scheme for the Wave Equation on General Nonconforming Multidimensional Spatial Meshes
    Bradji, Abdallah
    FINITE VOLUMES FOR COMPLEX APPLICATIONS VI: PROBLEMS & PERSPECTIVES, VOLS 1 AND 2, 2011, 4 : 175 - 183
  • [43] A POSTERIORI ERROR ESTIMATES FOR A FINITE VOLUME SCHEME APPLIED TO A NONLINEAR REACTION-DIFFUSION EQUATION IN POPULATION DYNAMICS
    El Harrak, Anouar
    Tayeq, Hatim
    Bergam, Amal
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021, 14 (07): : 2183 - 2197
  • [44] Mixed Finite Element Approximation for Bivariate Perona-Malik Model Arising in 2D and 3D Image Denoising
    Hjouji, Amal
    Jourhmane, Mostafa
    EL-Mekkaoui, Jaouad
    Es-sabry, Mohammed
    3D RESEARCH, 2018, 9 (03):
  • [45] Sinogram restoration for low-dose X-ray computed tomography using regularized Perona-Malik equation with intuitionistic fuzzy entropy
    Hong Shangguan
    Zhang, Xiong
    Cui, Xueying
    Liu, Yi
    Zhang, Quan
    Gui, Zhiguo
    SIGNAL IMAGE AND VIDEO PROCESSING, 2019, 13 (08) : 1511 - 1519
  • [46] Error estimate of the finite volume scheme for the Allen-Cahn equation
    Strachota, Pavel
    Benes, Michal
    BIT NUMERICAL MATHEMATICS, 2018, 58 (02) : 489 - 507
  • [47] The simulation of the transport of contaminants in groundwater flow: error estimates for a finite volume scheme
    Eymard, R
    Herbin, R
    Hilhorst, D
    Ramarosy, N
    COMPUTATIONAL METHODS FOR FLOW AND TRANSPORT IN POROUS MEDIA, 2000, 17 : 3 - 27
  • [48] Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes
    Bradji, Abdallah
    Fuhrmann, Jurgen
    APPLICATIONS OF MATHEMATICS, 2013, 58 (01) : 1 - 38
  • [49] Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes
    Abdallah Bradji
    Jürgen Fuhrmann
    Applications of Mathematics, 2013, 58 : 1 - 38
  • [50] EXPLICIT ERROR ESTIMATES FOR MIXED AND NONCONFORMING FINITE ELEMENTS
    Shipeng Mao Zhong-ci Shi LSEC
    JournalofComputationalMathematics, 2009, 27 (04) : 425 - 440