From: Wolfgang Bangerth Date: Mon, 17 Mar 2008 05:38:04 +0000 (+0000) Subject: Add a note on the definition of (.,.) X-Git-Tag: v8.0.0~9275 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=1f789eed71e0268e9dc5983e49ab2790c052c92d;p=dealii.git Add a note on the definition of (.,.) git-svn-id: https://svn.dealii.org/trunk@15899 0785d39b-7218-0410-832d-ea1e28bc413d --- 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*}