From: Wolfgang Bangerth Date: Fri, 7 Jan 2022 18:38:00 +0000 (-0700) Subject: Document the meaning of jump_in/average_of_* in FEInterfaceValues. X-Git-Tag: v9.4.0-rc1~641^2 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=refs%2Fpull%2F13197%2Fhead;p=dealii.git Document the meaning of jump_in/average_of_* in FEInterfaceValues. --- diff --git a/include/deal.II/fe/fe_interface_values.h b/include/deal.II/fe/fe_interface_values.h index bba456d6ea..3cd4763398 100644 --- a/include/deal.II/fe/fe_interface_values.h +++ b/include/deal.II/fe/fe_interface_values.h @@ -187,6 +187,10 @@ namespace FEInterfaceViews * function * @p interface_dof_index in the quadrature point @p q_point * of the component selected by this view. + * + * @note The name of the function is supposed to be read as "the jump + * (singular) in the values (plural: one or two possible values) of + * the shape function (singular)". */ value_type jump_in_values(const unsigned int interface_dof_index, @@ -207,6 +211,10 @@ namespace FEInterfaceViews * the shape * function @p interface_dof_index in the quadrature point @p q_point * of the component selected by this view. + * + * @note The name of the function is supposed to be read as "the jump + * (singular) in the gradients (plural: one or two possible gradients) + * of the shape function (singular)". */ gradient_type jump_in_gradients(const unsigned int interface_dof_index, @@ -227,6 +235,10 @@ namespace FEInterfaceViews * - \nabla u_{\text{cell1}}$ on the interface for the shape function @p * interface_dof_index at the quadrature point @p q_point of * the component selected by this view. + * + * @note The name of the function is supposed to be read as "the jump + * (singular) in the Hessians (plural: one or two possible values + * for the second derivative) of the shape function (singular)". */ hessian_type jump_in_hessians(const unsigned int interface_dof_index, @@ -247,6 +259,10 @@ namespace FEInterfaceViews * u_{\text{cell0}} - \nabla^3 u_{\text{cell1}}$ on the interface for the * shape function @p interface_dof_index at the quadrature point @p q_point of * the component selected by this view. + * + * @note The name of the function is supposed to be read as "the jump + * (singular) in the third derivatives (plural: one or two possible values + * for the third derivative) of the shape function (singular)". */ third_derivative_type jump_in_third_derivatives(const unsigned int interface_dof_index, @@ -274,6 +290,10 @@ namespace FEInterfaceViews * interface for the shape * function @p interface_dof_index in the quadrature point @p q_point * of the component selected by this view. + * + * @note The name of the function is supposed to be read as "the average + * (singular) of the values (plural: one or two possible values) of + * the shape function (singular)". */ value_type average_of_values(const unsigned int interface_dof_index, @@ -304,6 +324,10 @@ namespace FEInterfaceViews * for the shape * function @p interface_dof_index in the quadrature point @p q_point * of the component selected by this view. + * + * @note The name of the function is supposed to be read as "the average + * (singular) of the gradients (plural: one or two possible values of + * the derivative) of the shape function (singular)". */ gradient_type average_of_gradients(const unsigned int interface_dof_index, @@ -325,6 +349,10 @@ namespace FEInterfaceViews * u_{\text{cell1}}$ on the interface * for the shape function @p interface_dof_index at the quadrature point @p * q_point of the component selected by this view. + * + * @note The name of the function is supposed to be read as "the average + * (singular) in the Hessians (plural: one or two possible values of + * the second derivative) of the shape function (singular)". */ hessian_type average_of_hessians(const unsigned int interface_dof_index, @@ -791,6 +819,10 @@ namespace FEInterfaceViews * Return the jump vector $[\mathbf{u}]=\mathbf{u_1} - \mathbf{u_2}$ on the * interface for the shape function * @p interface_dof_index in the quadrature point @p q_point. + * + * @note The name of the function is supposed to be read as "the jump + * (singular) in the values (plural: one or two possible values) of + * the shape function (singular)". */ value_type jump_in_values(const unsigned int interface_dof_index, @@ -810,6 +842,10 @@ namespace FEInterfaceViews * Return the jump of the gradient (a tensor of rank 2) $\jump{\nabla * \mathbf{u}}$ on the interface for the shape * function @p interface_dof_index in the quadrature point @p q_point. + * + * @note The name of the function is supposed to be read as "the jump + * (singular) in the gradients (plural: one or two possible gradients) + * of the shape function (singular)". */ gradient_type jump_in_gradients(const unsigned int interface_dof_index, @@ -829,6 +865,10 @@ namespace FEInterfaceViews * - \nabla u_{\text{cell1}}$ on the interface for the shape function @p * interface_dof_index at the quadrature point @p q_point of * the component selected by this view. + * + * @note The name of the function is supposed to be read as "the jump + * (singular) in the Hessians (plural: one or two possible values + * for the second derivative) of the shape function (singular)". */ hessian_type jump_in_hessians(const unsigned int interface_dof_index, @@ -848,6 +888,10 @@ namespace FEInterfaceViews * u_{\text{cell0}} - \nabla^3 u_{\text{cell1}}$ on the interface for the * shape function @p interface_dof_index at the quadrature point @p q_point of * the component selected by this view. + * + * @note The name of the function is supposed to be read as "the jump + * (singular) in the third derivatives (plural: one or two possible values + * for the third derivative) of the shape function (singular)". */ third_derivative_type jump_in_third_derivatives(const unsigned int interface_dof_index, @@ -874,6 +918,10 @@ namespace FEInterfaceViews * Return the average vector $\average{\mathbf{u}}=\frac{1}{2}(\mathbf{u_1} * + \mathbf{u_2})$ on the interface for the shape * function @p interface_dof_index in the quadrature point @p q_point. + * + * @note The name of the function is supposed to be read as "the average + * (singular) of the values (plural: one or two possible values) of + * the shape function (singular)". */ value_type average_of_values(const unsigned int interface_dof_index, @@ -893,6 +941,10 @@ namespace FEInterfaceViews * Return the average of the gradient (a tensor of rank 2) $\average{\nabla * \mathbf{u}}$ on the interface for the shape * function @p interface_dof_index in the quadrature point @p q_point. + * + * @note The name of the function is supposed to be read as "the average + * (singular) of the gradients (plural: one or two possible values + * of the derivative) of the shape function (singular)". */ gradient_type average_of_gradients(const unsigned int interface_dof_index, @@ -914,6 +966,10 @@ namespace FEInterfaceViews * u_{\text{cell1}}$ on the interface * for the shape function @p interface_dof_index at the quadrature point @p * q_point of the component selected by this view. + * + * @note The name of the function is supposed to be read as "the average + * (singular) in the Hessians (plural: one or two possible values of + * the second derivative) of the shape function (singular)". */ hessian_type average_of_hessians(const unsigned int interface_dof_index, @@ -1671,7 +1727,7 @@ public: */ /** - * @name Access to jumps in shape functions and their derivatives + * @name Access to jumps in shape function values and their derivatives * @{ */ @@ -1687,7 +1743,11 @@ public: * here uses "value here minus value there", as seen from the first cell. * * If this is a boundary face (at_boundary() returns true), then - * $\jump{u}=u_{\text{cell0}}$. + * $\jump{u}=u_{\text{cell0}}$, that is "the value here (minus zero)". + * + * @note The name of the function is supposed to be read as "the jump + * (singular) in the values (plural: one or two possible values) + * of the shape function (singular)". */ double jump_in_shape_values(const unsigned int interface_dof_index, @@ -1713,6 +1773,10 @@ public: * * If this is a boundary face (at_boundary() returns true), then * $\jump{\nabla u}=\nabla u_{\text{cell0}}$. + * + * @note The name of the function is supposed to be read as "the jump + * (singular) in the gradients (plural: one or two possible gradients) + * of the shape function (singular)". */ Tensor<1, spacedim> jump_in_shape_gradients(const unsigned int interface_dof_index, @@ -1739,6 +1803,10 @@ public: * * If this is a boundary face (at_boundary() returns true), then * $\jump{\nabla^2 u} = \nabla^2 u_{\text{cell0}}$. + * + * @note The name of the function is supposed to be read as "the jump + * (singular) in the Hessians (plural: one or two possible values + * for the derivative) of the shape function (singular)". */ Tensor<2, spacedim> jump_in_shape_hessians(const unsigned int interface_dof_index, @@ -1764,6 +1832,10 @@ public: * * If this is a boundary face (at_boundary() returns true), then * $\jump{\nabla^3 u} = \nabla^3 u_{\text{cell0}}$. + * + * @note The name of the function is supposed to be read as "the jump + * (singular) in the third derivatives (plural: one or two possible values + * for the derivative) of the shape function (singular)". */ Tensor<3, spacedim> jump_in_shape_3rd_derivatives(const unsigned int interface_dof_index, @@ -1786,7 +1858,7 @@ public: */ /** - * @name Access to the average of shape functions and their derivatives + * @name Access to the average of shape function values and their derivatives * @{ */ @@ -1798,6 +1870,10 @@ public: * * If this is a boundary face (at_boundary() returns true), then * $\average{u}=u_{\text{cell0}}$. + * + * @note The name of the function is supposed to be read as "the average + * (singular) of the values (plural: one or two possible values) + * of the shape function (singular)". */ double average_of_shape_values(const unsigned int interface_dof_index, @@ -1823,6 +1899,10 @@ public: * * If this is a boundary face (at_boundary() returns true), then * $\average{\nabla u}=\nabla u_{\text{cell0}}$. + * + * @note The name of the function is supposed to be read as "the average + * (singular) of the gradients (plural: one or two possible values + * for the gradient) of the shape function (singular)". */ Tensor<1, spacedim> average_of_shape_gradients(const unsigned int interface_dof_index, @@ -1849,6 +1929,10 @@ public: * * If this is a boundary face (at_boundary() returns true), then * $\average{\nabla^2 u}=\nabla^2 u_{\text{cell0}}$. + * + * @note The name of the function is supposed to be read as "the average + * (singular) of the Hessians (plural: one or two possible values + * for the second derivatives) of the shape function (singular)". */ Tensor<2, spacedim> average_of_shape_hessians(const unsigned int interface_dof_index,