Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations

DOI10.4208/aamm.OA-2018-0046zbMath1488.65484arXiv1707.08345WikidataQ128348853 ScholiaQ128348853MaRDI QIDQ5156609

Xiaoqiang Yue, Weiping Bu, Shi Shu, Menghuan Liu, S. Wang

Publication date: 11 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.08345

zbMATH Keywords

algorithmic complexitycondition number estimationadaptive AMG methodCaputo-Riesz fractional diffusion equationfully discrete space-time FE scheme

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Fractional derivatives and integrals (26A33) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Fractional partial differential equations (35R11)

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