FINITE ELEMENT APPROXIMATION OF A TIME-FRACTIONAL DIFFUSION PROBLEM FOR A DOMAIN WITH A RE-ENTRANT CORNER

DOI10.1017/S1446181116000365zbMath1404.65273arXiv1602.00040OpenAlexW3102260850WikidataQ59889841 ScholiaQ59889841MaRDI QIDQ5370811

Kim Ngan Le, Bishnu Lamichhhane, William McLean

Publication date: 20 October 2017

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00040

zbMATH Keywords

Laplace transformationlocal mesh refinementnon-smooth initial data

Mathematics Subject Classification ID

Brownian motion (60J65) Heat equation (35K05) 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) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical quadrature and cubature formulas (65D32) Viscosity solutions to PDEs (35D40) Fractional partial differential equations (35R11)

Related Items (4)

Semidiscrete Finite Element Analysis of Time Fractional Parabolic Problems: A Unified Approach ⋮ Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview ⋮ An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains ⋮ Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains

Uses Software

• Gmsh

Cites Work

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