An Lpspaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations

DOI10.1093/IMANUM/DRAB063OpenAlexW3200039840MaRDI QIDQ5042889

Gabriel N. Gatica, Ricardo Ruiz-Baier, Salim Meddahi

Publication date: 26 October 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drab063

zbMATH Keywords

heat equationmixed finite element methodsLebesgue spacesDarcy equationfixed-point theory\textit{a priori} error analysisfully mixed formulation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

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New mixed finite element methods for the coupled Stokes and Poisson–Nernst–Planck equations in Banach spaces ⋮ New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems ⋮ Numerical Discretization of a Darcy-Forchheimer Problem Coupled with a Singular Heat Equation ⋮ A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem ⋮ A Banach spaces-based mixed-primal finite element method for the coupling of Brinkman flow and nonlinear transport

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