From cfec3c7c66aa439b1f9669a7cd1811a8a59e35ba Mon Sep 17 00:00:00 2001 From: Jaeryun Yim Date: Thu, 1 Sep 2016 22:28:04 +0900 Subject: [PATCH] minor edit --- include/deal.II/fe/fe_p1nc.h | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/include/deal.II/fe/fe_p1nc.h b/include/deal.II/fe/fe_p1nc.h index 79446ffea2..cf210d7ef1 100644 --- a/include/deal.II/fe/fe_p1nc.h +++ b/include/deal.II/fe/fe_p1nc.h @@ -37,7 +37,7 @@ DEAL_II_NAMESPACE_OPEN * But it requires the continuity just in integral sense: * any function in the space should have the same integral values on two sides of the common edge shared by two adjacent elements. - * Thus each function in the nonconforming element space can be discontinuous, not included in H^1_0, as functions in Discontinuous Galerkin (DG) finite element spaces. + * Thus each function in the nonconforming element space can be discontinuous, not included in H^1_0, as functions in Discontinuous Galerkin (DG) finite element spaces. * Although any function in DG element space also has nonconformity, it is completely discontinuous across edges without any relation. * It is a reason why usual weak formulations for DG schemes contain additional penalty terms for jump across edges to control discontinuity. * However nonconforming elements usually do not need additional terms in their weak formulations due to the continuity in integral on edges. @@ -153,7 +153,7 @@ DEAL_II_NAMESPACE_OPEN * * Note that above shape functions are constructed on each cell, not on the reference cell only. - * @p get_linear_shape computes the coefficients for shape functions when @p fill_fe_values is called on each cell. + * @p get_linear_shape computes the coefficients for shape functions when @p fill_fe_values is called on each cell. * The (global) basis function associated with a node is defined by the composition of * (local) basis functions associated with the node on each element. @@ -164,7 +164,7 @@ DEAL_II_NAMESPACE_OPEN * Contrast with ordinary Lagrange finite elements, DOF value with respect to the P1 nonconforming element at given node does not coincide with the function value at that node. * For instance, the (global) basis function associated with a node has 0.75 at that node, not 1.0. * Thus we need an interpolation operator which maps any smooth function into a function with proper DOF values in the P1 element space. - * One natural interpolant associated with given smooth function is the linear function whose midpoint value at each edge is defined by + * One natural interpolant associated with given smooth function is the linear function whose midpoint value at each edge is defined by * the average of two values at endpoints of the edge. * It provides appropriate weights used in @p unit_support_points. -- 2.39.5