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Numerical solution of the heat transfer equation coupled with the Darcy flow using the finite element method

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Publication:2111134
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DOI10.1155/2022/5108445zbMath1502.65123OpenAlexW4225797034MaRDI QIDQ2111134

Mohammed Hirpho

Publication date: 23 December 2022

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/5108445


zbMATH Keywords

finite element approachDarcy flowheat transfer equationPicard-Lindelöf theorem


Mathematics Subject Classification ID

Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)




Cites Work

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  • Spectral discretization of Darcy's equations coupled with the heat equation
  • Couplage des équations de Navier-Stokes et de la chaleur : le modèle et son approximation par éléments finis
  • A Coupled Prediction Scheme for Solving the Navier--Stokes and Convection-Diffusion Equations




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