Exponential convergence of \textit{hp} FEM for spectral fractional diffusion in polygons
DOI10.1007/s00211-022-01329-5OpenAlexW3173520757MaRDI QIDQ2678962
Christoph Schwab, Jens Markus Melenk, Lehel Banjai
Publication date: 18 January 2023
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.05701
exponential convergencenonlocal operatorsfractional diffusion\(n\)-widthsanisotropic \textit{hp}-refinementDunford-Taylor calculusgeometric corner refinement
Stability in context of PDEs (35B35) 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 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) Fractional partial differential equations (35R11) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)
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