From: kanschat Date: Mon, 29 Nov 2010 01:32:09 +0000 (+0000) Subject: update documentation X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=18fb40e43af19f7d583e2dad58c95e0d86b2c263;p=dealii-svn.git update documentation git-svn-id: https://svn.dealii.org/trunk@22872 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/include/deal.II/integrators/l2.h b/deal.II/include/deal.II/integrators/l2.h index 4deead2654..f7b150fa48 100644 --- a/deal.II/include/deal.II/integrators/l2.h +++ b/deal.II/include/deal.II/integrators/l2.h @@ -37,9 +37,13 @@ namespace LocalIntegrators { /** * The mass matrix for scalar or vector values finite elements. + * \f[ + * \int_Z uv\,dx \quad \text{or} \quad \int_Z \mathbf u\cdot \mathbf v\,dx + * \f] * + * Likewise, this term can be used on faces, where it computes the integrals * \f[ - * \int_Z uv\,dx \quad \text{or} \int_Z \mathbf u\cdot \mathbf v\,dx + * \int_F uv\,ds \quad \text{or} \quad \int_F \mathbf u\cdot \mathbf v\,ds * \f] */ template @@ -68,7 +72,7 @@ namespace LocalIntegrators * L2-inner product for scalar functions. * * \f[ - * \int_Z fv\,dx + * \int_Z fv\,dx \quad \text{or} \quad \int_F fv\,ds * \f] */ template @@ -91,9 +95,10 @@ namespace LocalIntegrators /** * L2-inner product for a slice of a vector valued * right hand side. - * * \f[ * \int_Z \mathbf f\cdot \mathbf v\,dx + * \quad \text{or} \quad + * \int_F \mathbf f\cdot \mathbf v\,ds * \f] */ template @@ -121,12 +126,14 @@ namespace LocalIntegrators * The jump matrix between two cells for scalar or vector values * finite elements. Note that the factor $\gamma$ can be used to * implement weighted jumps. - * * \f[ - * \int_F [\gamma u][\gamma v]\,dx + * \int_F [\gamma u][\gamma v]\,ds * \quad \text{or} - * \int_F [\gamma \mathbf u]\cdot [\gamma \mathbf v]\,dx + * \int_F [\gamma \mathbf u]\cdot [\gamma \mathbf v]\,ds * \f] + * + * Using appropriate weights, this term can be used to penalize + * violation of conformity in H1. */ template void jump_matrix (