From: Wolfgang Bangerth Date: Thu, 17 May 2018 13:06:00 +0000 (+0800) Subject: Use American English spelling. X-Git-Tag: v9.1.0-rc1~1133^2 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=72d2c43e0e8823f7990f7977de639d47161eabce;p=dealii.git Use American English spelling. --- diff --git a/include/deal.II/fe/fe_nedelec_sz.h b/include/deal.II/fe/fe_nedelec_sz.h index bae6c46584..f919e6e1ff 100644 --- a/include/deal.II/fe/fe_nedelec_sz.h +++ b/include/deal.II/fe/fe_nedelec_sz.h @@ -37,7 +37,7 @@ DEAL_II_NAMESPACE_OPEN * * This element overcomes the sign conflict issues present in * traditional Nédélec elements which arise from the edge and face -* parameterisations used in the basis functions. Therefore, this +* parameterizations used in the basis functions. Therefore, this * element should provide consistent results for general quadrilateral * and hexahedral elements. * @@ -204,7 +204,7 @@ protected: * shape functions. * * The main quantities which are stored are associated with edge and face - * parameterisations. These are: + * parameterizations. These are: * * * The definitions of these functionals, as well as the edge and face - * parametrisations and edge and face extension parameters, can be found on + * parameterizations and edge and face extension parameters, can be found on * page 82 of Zaglmayr's thesis. The details of the definition of the * globally-defined edge and face orientations can be found on page 67. */ @@ -237,14 +237,14 @@ protected: mutable std::vector > > shape_grads; /** - * Storage for all possible edge parameterisation between vertices. These + * Storage for all possible edge parameterization between vertices. These * are required in the computation of edge- and face-based DoFs, which are * cell-dependent. * - * The edge parameterisation of an edge, E, starting at vertex i and ending + * The edge parameterization of an edge, E, starting at vertex i and ending * at vertex $j$ is given by $\sigma_{E} = \sigma_{i} - \sigma{j}$. * - * sigma_imj_values[q][i][j] stores the value of the edge parametrisation + * sigma_imj_values[q][i][j] stores the value of the edge parameterization * connected by vertices $i$ and $j$ at the q-th quadrature point. * * Note that not all of the $i$ and $j$ combinations result in valid edges on @@ -254,28 +254,28 @@ protected: std::vector > > sigma_imj_values; /** - * Storage for gradients of all possible edge parameterisations between + * Storage for gradients of all possible edge parameterizations between * vertices. These are required in the computation of edge- and face-based * DoFs, which are cell-dependent. Note that the components of the gradient * are constant. * - * The edge parameterisation of an edge, $E$, starting at vertex $i$ and ending + * The edge parameterization of an edge, $E$, starting at vertex $i$ and ending * at vertex $j$ is given by $\sigma_{E} = \sigma_{i} - \sigma{j}$. * - * sigma_imj_grads[i][j][d] stores the gradient of the edge parametrisation + * sigma_imj_grads[i][j][d] stores the gradient of the edge parameterization * connected by vertices $i$ and $j$ in component $d$. * - * Note that the gradient of the edge parametrisation is constant on an + * Note that the gradient of the edge parameterization is constant on an * edge, so we do not need to store it at every quadrature point. */ std::vector > > sigma_imj_grads; /** - * Storage for values of edge parametrisations at quadrature points. These + * Storage for values of edge parameterizations at quadrature points. These * are stored for the 12 edges such that the global vertex numbering would * follow the order defined by the "standard" deal.II cell. * - * edge_sigma_values[m][q] stores the edge parameterisation value at the + * edge_sigma_values[m][q] stores the edge parameterization value at the * q-th quadrature point on edge m. * * These values change with the orientation of the edges of a physical cell @@ -284,11 +284,11 @@ protected: std::vector > edge_sigma_values; /** - * Storage for gradients of edge parametrisation at quadrature points. + * Storage for gradients of edge parameterization at quadrature points. * These are stored for the 12 edges such that the global vertex numbering * would follow the order defined by the "standard" deal.II cell. * - * edge_sigma_grads[m][d] stores the gradient of the edge parameterisation + * edge_sigma_grads[m][d] stores the gradient of the edge parameterization * for component d on edge m. * * These values change with the orientation of the edges of a physical cell