Numerical Approximation of the Fractional Laplacian via $$hp$$ h p -finite Elements, with an Application to Image Denoising

Author:

Gatto Paolo,Hesthaven Jan S.

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference22 articles.

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2. Bates, P.W.: On some nonlocal evolution equations arising in materials science. Nonlinear dynamics and evolution equations 48, 13–52 (2006)

3. Blackledge, J., Blackledge, M.: Fractional anisotropic diffusion for noise reduction in magnetic resonance images. ISAST Transactions on Electronics and Signal Processing 4, 44–57 (2010)

4. Brändle, C., Colorado, E., de Pablo, A.: A concave-convex elliptic problem involving the fractional Laplacian. ArXiv e-prints, (June 2010)

5. Caffarelli, L., Silvestre, L.: An extension problem related to the fractional laplacian. Communications in Partial Differential Equations 32(8), 1245–1260 (2007)

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