Rodin::Variational::F namespace

Contains built-in coordinate functions.

This namespace provides predefined real-valued functions that project spatial coordinates, enabling convenient construction of position-dependent expressions in variational formulations.

Classes

class X
First coordinate projection function.
class Y
Second coordinate projection function.
class Z
Third coordinate projection function.

Variables

static const X x
First coordinate projection $ x_1 $ .
static const Y y
Second coordinate projection $ x_2 $ .
static const Z z
Third coordinate projection $ x_3 $ .

Variable documentation

static const X Rodin::Variational::F::x
#include <Rodin/Variational/F.h>

First coordinate projection $ x_1 $ .

Represents the function $ f : \mathcal{T}_h \rightarrow \mathbb{R} $ defined by:

\[ f(x_1, \ldots, x_d) = x_1 \]

static const Y Rodin::Variational::F::y
#include <Rodin/Variational/F.h>

Second coordinate projection $ x_2 $ .

Represents the function $ f : \mathcal{T}_h \rightarrow \mathbb{R} $ defined by:

\[ f(x_1, \ldots, x_d) = x_2 \]

static const Z Rodin::Variational::F::z
#include <Rodin/Variational/F.h>

Third coordinate projection $ x_3 $ .

Represents the function $ f : \mathcal{T}_h \rightarrow \mathbb{R} $ defined by:

\[ f(x_1, \ldots, x_d) = x_3 \]