From 86a0befd6e7d19351f0b3119a447c6fe689670e7 Mon Sep 17 00:00:00 2001 From: bangerth Date: Mon, 17 Mar 2008 05:38:04 +0000 Subject: [PATCH] Add a note on the definition of (.,.) git-svn-id: https://svn.dealii.org/trunk@15899 0785d39b-7218-0410-832d-ea1e28bc413d --- deal.II/doc/doxygen/headers/vector_valued.h | 7 ++++++- 1 file changed, 6 insertions(+), 1 deletion(-) diff --git a/deal.II/doc/doxygen/headers/vector_valued.h b/deal.II/doc/doxygen/headers/vector_valued.h index 265e1e8dd5..d85fb20890 100644 --- a/deal.II/doc/doxygen/headers/vector_valued.h +++ b/deal.II/doc/doxygen/headers/vector_valued.h @@ -148,8 +148,13 @@ - (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*} -- 2.39.5