Solving Stokes equations using the finite element method
Numerical Solution of the Navier-Stokes Equations by the Finite Element Method
Article REF: AF1407 V1
Solving 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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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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