Analysis of backward Euler/spectral discretization for an evolutionary mass and heat transfer in porous medium

DOI10.1016/j.jmaa.2020.124427zbMath1466.65156arXiv1905.11899OpenAlexW3045191035MaRDI QIDQ2657686

S. Maarouf, Driss Yakoubi

Publication date: 14 March 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.11899

zbMATH Keywords

nonlinear reaction-diffusion equationsspectral discretizationDarcy's equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (3)

Convergence analysis of a class of iterative methods for propagation of reaction fronts in porous media ⋮ An iterative scheme for solving a coupled Darcy-convection-diffusion model ⋮ Well-posedness and numerical approximation of steady convection-diffusion-reaction problems in porous media

Cites Work

• Sorét and Dufour effects on natural convection flow past a vertical surface in a porous medium with variable viscosity
• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• Variational discretization of elliptic boundary value problems.
• DISCRETIZATION OF AN UNSTEADY FLOW THROUGH A POROUS SOLID MODELED BY DARCY'S EQUATIONS
• Finite Element Methods for Navier-Stokes Equations
• Vector potentials in three-dimensional non-smooth domains
• Spectral discretization of Darcy's equations coupled with the heat equation
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