Parallel mixed FEM simulation of a class of single-phase models with non-local operators

DOI10.1016/J.CAM.2016.03.007zbMath1382.76158OpenAlexW2297866665MaRDI QIDQ298210

A. Alyoubi, Mahadevan Ganesh

Publication date: 20 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.03.007

zbMATH Keywords

anomalous-in-timefractional Darcy's lawfractional PDEmixed-finite element methodparallel-in-time-and-spacesub-diffusion models

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05)

Uses Software

• Matlab
• MRST

Cites Work

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• Numerical solution via Laplace transforms of a fractional order evolution equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The Schur complement and its applications
• A Spectral Order Method for Inverting Sectorial Laplace Transforms
• Mixed and Hybrid Finite Element Methods
• Superconvergence of Mixed Finite Element Approximations over Quadrilaterals
• A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature
• Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation
• Computational Methods for Multiphase Flows in Porous Media
• Exponentially Convergent Algorithms for the Operator Exponential with Applications to Inhomogeneous Problems in Banach Spaces

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