]> https://gitweb.dealii.org/ - dealii-svn.git/commitdiff
Note that the equation is decoupled.
authorbangerth <bangerth@0785d39b-7218-0410-832d-ea1e28bc413d>
Fri, 11 Sep 2009 03:43:45 +0000 (03:43 +0000)
committerbangerth <bangerth@0785d39b-7218-0410-832d-ea1e28bc413d>
Fri, 11 Sep 2009 03:43:45 +0000 (03:43 +0000)
git-svn-id: https://svn.dealii.org/trunk@19441 0785d39b-7218-0410-832d-ea1e28bc413d

deal.II/examples/step-35/doc/intro.dox

index f0b75738aa6cd8d6014ecc0bf3ef7fdb10b1c150..734b3ad40d5c7bfcfc420dfa6fee528daa676588 100644 (file)
@@ -65,6 +65,11 @@ $(u^0,p^0,\phi^0=0)$ and $(u^1,p^1,\phi^1=p^1-p^0)$. Then the projection method
     \quad
     u^{k+1}|_{\partial\Omega} = 0.
   @f]
+  Note in particular that this formulation completely decouples the velocity
+  components from each other. As a consequence, rather than having to solve a
+  coupled system for all $d$ velocities together, we can solve $d$ independent
+  equations which, conveniently also all share the same system matrix.
+
   <li> <b>Step 2</b>: Projection. Find $\phi^{k+1}$ that solves
   @f[
     \Delta \phi^{k+1} = \frac3{2\tau} \nabla \cdot u^{k+1},

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