Numerical analysis of two Galerkin discretizations with graded temporal grids for fractional evolution equations

DOI10.1007/s10915-020-01365-zzbMath1456.65116arXiv2002.11914OpenAlexW3109832867MaRDI QIDQ2219647

Binjie Li, Xiaoping Xie, Tao Wang

Publication date: 20 January 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.11914

zbMATH Keywords

convergence analysiserror estimatesPetrov-Galerkin methodfractional evolution equationdiscontinous Galerkin discretizationgraded temporal grid

Mathematics Subject Classification ID

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) Fractional partial differential equations (35R11)

Related Items (7)

Second-order and nonuniform time-stepping schemes for time fractional evolution equations with time-space dependent coefficients ⋮ L1 scheme for solving an inverse problem subject to a fractional diffusion equation ⋮ Analysis of the L1 scheme for fractional wave equations with nonsmooth data ⋮ Temporally semidiscrete approximation of a Dirichlet boundary control for a fractional/normal evolution equation with a final observation ⋮ Error estimates of a continuous Galerkin time stepping method for subdiffusion problem ⋮ Error estimation of a discontinuous Galerkin method for time fractional subdiffusion problems with nonsmooth data ⋮ Optimal error estimates of a time-spectral method for fractional diffusion problems with low regularity data

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