Article | REF: AF1407 V1

Numerical Solution of the Navier-Stokes Equations by the Finite Element Method

Author: Pierre SPITERI

Publication date: December 10, 2022

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1. Solving Stokes equations using the finite element method

1.1 Variational formulation of the Stokes problem with homogeneous Dirichlet boundary conditions

In the two-dimensional case, the stationary Stokes equations can be formulated as follows: we are looking for a vector function U=(u(x,y),v(x,y)) and a scalar function p(x,y) such that :

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Solving Stokes equations using the finite element method
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