Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H − s , 0 ≤ s ≤ 1

DOI10.1007/978-3-642-41515-9_3zbMath1352.65351arXiv1303.2932OpenAlexW1631878795MaRDI QIDQ2859130

Joseph E. Pasciak, Bangti Jin, Zhi Zhou, Raytcho D. Lazarov

Publication date: 6 November 2013

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2932

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) Fractional partial differential equations (35R11)

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Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data ⋮ A Semidiscrete Finite Element Approximation of a Time-Fractional Fokker--Planck Equation with NonSmooth Initial Data ⋮ An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid ⋮ An Inverse Source Problem with Sparsity Constraint for the Time-Fractional Diffusion Equation ⋮ Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview ⋮ A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations ⋮ Variational formulation of time-fractional parabolic equations ⋮ The Galerkin finite element method for a multi-term time-fractional diffusion equation

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