From: Jaeryun Yim Date: Fri, 30 Sep 2016 13:28:58 +0000 (+0900) Subject: Minor edits on the description. X-Git-Tag: v8.5.0-rc1~624^2~1 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=9112f2fb73e4c893cfa84218ad96e9fa209668d3;p=dealii.git Minor edits on the description. --- diff --git a/include/deal.II/fe/fe_p1nc.h b/include/deal.II/fe/fe_p1nc.h index 65937760d3..3634df99ea 100644 --- a/include/deal.II/fe/fe_p1nc.h +++ b/include/deal.II/fe/fe_p1nc.h @@ -57,7 +57,7 @@ DEAL_II_NAMESPACE_OPEN * * Thus for the P1 nonconforming element, the function values at midpoints on edges of a cell are important. * The first attempt to define (local) degrees of freedom (DOFs) on a quadrilateral - * is by using midpoint values of a function as usual nonconforming finite elements. + * is by using midpoint values of a function. * * However, these 4 functionals are not linearly independent * because a linear function on 2D is uniquely determined by only 3 independent values. @@ -81,7 +81,7 @@ DEAL_II_NAMESPACE_OPEN * and it is same as the dimension of the linear polynomial space on a cell in 2D. * *

Shape functions

- * Before introducing the DOFs, we present 4 local shape functions on a cell. + * Before introduction of the DOFs, we present 4 local shape functions on a cell. * Due to the dice rule, we need a special construction for shape functions. * Although the following 4 shape functions are not linearly independent within a cell, * they are helpful to define the global basis functions which are linearly independent on whole domain. @@ -108,7 +108,7 @@ DEAL_II_NAMESPACE_OPEN * We denote such a function associated with vertex $v_j$ by $\phi_j$. * Then the set of 4 shape functions is a partition of unity on a cell: $\sum_{j=0}^{3} \phi_j = 1$. * - * The following figures represent $\phi_j$, $j=0,\cdots,3$ with its values at midpoints. + * The following figures represent $\phi_j$ for $j=0,\cdots,3$ with its midpoint values. * *