A Monotone Discretization for Integral Fractional Laplacian on Bounded Lipschitz Domains: Pointwise Error Estimates under Hölder Regularity

DOI10.1137/21M1448239zbMath1506.65184arXiv2109.09308OpenAlexW4309830205MaRDI QIDQ5058133

Shuonan Wu, Rubing Han

Publication date: 2 December 2022

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.09308

zbMATH Keywords

unstructured gridsHölder regularitybounded Lipschitz domainspointwise error estimatemonotone discretization

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Error bounds for boundary value problems involving PDEs (65N15) Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)

Related Items (2)

Analysis of a sinc-Galerkin Method for the Fractional Laplacian ⋮ Fractional elliptic problems on Lipschitz domains: regularity and approximation

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