Numerical approximation of the fractional Laplacian via \(hp\)-finite elements, with an application to image denoising
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Publication:898427
DOI10.1007/s10915-014-9959-1zbMath1329.65272OpenAlexW2067513555MaRDI QIDQ898427
Publication date: 9 December 2015
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-014-9959-1
convergencenumerical examplesboundary layerdegenerate elliptic equationimage denoisingMuckenhoupt weightfractional Laplacianautomatic adaptivityGibbs phenomen\(hp\)-finite elements
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) Degenerate elliptic equations (35J70) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)
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Uses Software
Cites Work
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- Weighted Sobolev spaces and embedding theorems
- An Extension Problem Related to the Fractional Laplacian
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