First-order system least-squares finite element method for singularly perturbed Darcy equations

We define and analyse a least-squares finite element method for a first-order reformulation of a scaled Brinkman model of fluid flow through porous media. We introduce a pseudostress variable that allows to eliminate the pressure variable from the system. It can be recovered by a simple post-process...

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Veröffentlicht in:	ESAIM. Mathematical modelling and numerical analysis 2023-07, Vol.57 (4), p.2283-2300
Hauptverfasser:	Führer, Thomas, Videman, Juha
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Brinkman model Darcys law Equivalence Finite element analysis Finite element method Fluid flow Least squares Methods Numerical analysis Parameters Porous media Porous media flow Singular perturbation
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