# Dirichlet condition incremental pressure correction scheme

**URL:** <https://fenicsproject.discourse.group/t/dirichlet-condition-incremental-pressure-correction-scheme/2549>\
**Category:** variational formulation\
**Created:** [March 2, 2020, 10:25am UTC](https://fenicsproject.discourse.group/t/dirichlet-condition-incremental-pressure-correction-scheme/2549 "2020-03-02T10:25:10Z")\
**Posts on this page:** 1\
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**Author:** ![dokken](https://yyz2.discourse-cdn.com/free1/user_avatar/fenicsproject.discourse.group/dokken/32/1560_2.png) [@dokken](https://fenicsproject.discourse.group/u/dokken)\
**Post date:** [March 2, 2020, 11:35pm UTC](https://fenicsproject.discourse.group/t/dirichlet-condition-incremental-pressure-correction-scheme/2549/2 "2020-03-02T23:35:59Z")

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Boundary conditions for splitting schemes are debated, and a small literature list can be found at:

> [@Why do Dirichlet BCs seem not to be satisfied exactly?](https://fenicsproject.discourse.group/t/why-do-dirichlet-bcs-seem-not-to-be-satisfied-exactly/1438/5):
>
> Hi, Here are some papers that discusses boundary conditions for splitting schemes: A. Vreman, The projection method for the incompressible Navier–Stokes equations: The pressure near a no-slip wall, Journal of Computational Physics 263 (2014) 353–374. doi:10.1016/j.jcp.2014.01.035. P. M. Gresho, R. L. Sani, On pressure boundary conditions for the incompressible Navier-Stokes equations, International Journal for Numerical Methods in Fluids 7 (10) (1987) 1111–1145. doi:10.1002/fld.1650071008. …

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