On the convergence of the local discontinuous Galerkin method applied to a stationary one dimensional fractional diffusion problem
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Publication:2211741
DOI10.1007/s10915-020-01335-5zbMath1452.65325OpenAlexW3093876245MaRDI QIDQ2211741
Publication date: 12 November 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-020-01335-5
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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)
Related Items (4)
Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian ⋮ Convergence analysis of a LDG method for time-space tempered fractional diffusion equations with weakly singular solutions ⋮ Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems ⋮ Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: stability analysis
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