Numerical Solution of the Navier-Stokes Equations by the Finite Element Method : Solving the Navier-Stokes equations using the finite element method

Solving the Navier-Stokes equations using the finite element method
Numerical Solution of the Navier-Stokes Equations by the Finite Element Method

Author : Pierre SPITERI

Publication date: December 10, 2022 | Lire en français

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2. Solving the Navier-Stokes equations using the finite element method

For simplicity, consider the two-dimensional incompressible Navier-Stokes equation with homogeneous Dirichlet boundary conditions (C.L.) :

a (\vec{V}, \vec{V}) \geq c \cdot {‖ \vec{V} ‖}^{2}, \forall \vec{V} \in H_{0}^{1} (

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Solving the Navier-Stokes equations using the finite element method

(1) - AXELSON (O.), BARKER (V.A.) - Finite element solution of boundary value problems - Theory and computation. - Academic press. 6 (1984).
(2) - BARANGER (J.) - Analyse numérique, - Hermann (1991)....

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