]> https://gitweb.dealii.org/ - dealii-svn.git/commitdiff
Add a note on the definition of (.,.)
authorbangerth <bangerth@0785d39b-7218-0410-832d-ea1e28bc413d>
Mon, 17 Mar 2008 05:38:04 +0000 (05:38 +0000)
committerbangerth <bangerth@0785d39b-7218-0410-832d-ea1e28bc413d>
Mon, 17 Mar 2008 05:38:04 +0000 (05:38 +0000)
git-svn-id: https://svn.dealii.org/trunk@15899 0785d39b-7218-0410-832d-ea1e28bc413d

deal.II/doc/doxygen/headers/vector_valued.h

index 265e1e8dd525912dcd8f980359e4259d6732ffed..d85fb20890937b0fb109ba0f765b4f3868e94710 100644 (file)
   -
   (q, \mathrm{div}\ \mathbf u)
   =
-  (q,f).
+  (q,f),
 @f}
+ * where we have defined the scalar product
+ * $(\mathbf v, \mathbf u) = \int_\Omega \mathbf v(x)
+ * \cdot \mathbf u(x) \; dx$, and similarly if both parts of the scalar
+ * product are scalar-valued functions (e.g. the pressure) rather
+ * than vector-valued onces (like the velocity).
  *
  * We get the final form by integrating by part the second term:
 @f{eqnarray*}

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