Constructive Approximation on Graded Meshes for the Integral Fractional Laplacian
Author:
Publisher
Springer Science and Business Media LLC
Subject
Computational Mathematics,General Mathematics,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s00365-023-09617-5.pdf
Reference32 articles.
1. Abatangelo, N., Ros-Oton, X.: Obstacle problems for integro-differential operators: higher regularity of free boundaries. Adv. Math. 360, 1–61 (2020)
2. Acosta, G., Bersetche, F., Borthagaray, J.: A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian. Comput. Math. Appl. 74(4), 784–816 (2017)
3. Acosta, G., Borthagaray, J.: A fractional Laplace equation: regularity of solutions and finite element approximations. SIAM J. Numer. Anal. 55(2), 472–495 (2017)
4. Ainsworth, M., Glusa, C.: Aspects of an adaptive finite element method for the fractional Laplacian: a priori and a posteriori error estimates, efficient implementation and multigrid solver. Comput. Methods Appl. Mech. Eng. 327, 4–35 (2017)
5. Binev, P., Dahmen, W., DeVore, R.: Adaptive finite element methods with convergence rates. Numer. Math. 97(2), 219–268 (2004)
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3. Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons;SIAM Journal on Numerical Analysis;2023-11-15
4. Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation;A³N²M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models;2023
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