From a7578047bb2008a3d867256188165bf76c5836bd Mon Sep 17 00:00:00 2001 From: Daniel Arndt Date: Mon, 1 Aug 2016 19:40:35 +0200 Subject: [PATCH] Add literature to step-35 --- examples/step-35/doc/intro.dox | 32 ++++++++++++++++++++++++++++++-- 1 file changed, 30 insertions(+), 2 deletions(-) diff --git a/examples/step-35/doc/intro.dox b/examples/step-35/doc/intro.dox index f5fe3d6490..3685f54be8 100644 --- a/examples/step-35/doc/intro.dox +++ b/examples/step-35/doc/intro.dox @@ -108,8 +108,7 @@ $(u^0,p^0,\phi^0=0)$ and $(u^1,p^1,\phi^1=p^1-p^0)$. Then the projection method -Without going into details, which can be found in the corresponding literature, let us remark a few things about the -projection methods that we have just described: +Without going into details, let us remark a few things about the projection methods that we have just described: +

+The standard incremental scheme and the rotational incremental scheme were first considered by van Kan in +

+and is analyzed by Guermond in + +for the case $\nu = 1$. +It turns out that this technique suffers from unphysical boundary conditions for the kinematic pressure that +lead to reduced rates of convergence. To prevent this, Timmermans et al. proposed in + +the rotational pressure-correction projection method that uses a divergence correction for the kinematic pressure. +A thorough analysis for scheme has first been performed in + +for the Stokes problem. +

+

The Fully Discrete Setting

To obtain a fully discrete setting of the method we, as always, need a variational formulation. There is one -- 2.39.5