High-order anisotropic diffusion operators in spaces of variable exponents and application to image inpainting and restoration problems

DOI10.1016/j.nonrwa.2018.10.013zbMath1414.65030OpenAlexW2903540955WikidataQ128888170 ScholiaQ128888170MaRDI QIDQ1729266

Anis Theljani, Maher Moakher, Zakaria Belhachmi

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.10.013

zbMATH Keywords

finite elementsinverse problems\(p\)-Laplaciananisotropic diffusionfixed point methodhigh-order PDEsimage inpainting/restoration

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Uses Software

• FreeFem++

Cites Work

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