Discontinuous Galerkin Methods and Their Adaptivity for the Tempered Fractional (Convection) Diffusion Equations

DOI10.4208/jcm.1906-m2019-0040zbMath1474.65371arXiv1706.02826OpenAlexW2626352366MaRDI QIDQ4984196

Weihua Deng, Xu-Dong Wang

Publication date: 26 April 2021

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02826

zbMATH Keywords

posteriori error estimateadaptive DG methodstempered fractional equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) 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) 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)

Related Items (4)

Convergence analysis of a LDG method for time-space tempered fractional diffusion equations with weakly singular solutions ⋮ Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation ⋮ Convergence analysis of a LDG method for tempered fractional convection–diffusion equations ⋮ Finite element method for drifted space fractional tempered diffusion equation

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