Detailed Description

Class for operations associated with RWG functions.

Definition at line 49 of file function_space.hpp.

Member Function Documentation

◆ normalization()

static EigRowVecN< Float, 3 > bem::rwg::Rwg::normalization ( const Triangle< 3 > & tri )

inlinestatic

Defines the normalization factor for each RWG function associated with a given triangle.

Parameters

[in] tri - Triangle for whose edges the RWG function normalization is required.

Returns: Normalization factor for each RWG function associated with the edges of tri.

Definition at line 58 of file function_space.hpp.

◆ value()

EigMatNX< Float, 3 > bem::rwg::Rwg::value	(	const Triangle< 3 > &	tri,
		uint8_t	edge,
		ConstEigRef< EigMatNX< Float, 3 > >	points,
		const bool	rotated = `false`
	)

static

Evaluates the value of the RWG function associated with a given edge of a given triangle at a given set of points in that triangle.

Parameters

[in]	tri	- Triangle for whose edges the RWG function is to be evaluated.
[in]	edge	- Edge index (0, 1, or 2) of the triangle for which the RWG function value is required.
[in]	points	- Points in the triangle at which to evaluate the RWG function.
[in]	rotated	- If true, evaluates the rotated RWG function (nxRWG).

Returns: Value of the RWG function associated with edge edge of tri at each of the points.

Definition at line 36 of file function_space.cpp.

◆ test_field()

EigColVecN< Complex, 3 > bem::rwg::Rwg::test_field	(	const Triangle< 3 > &	tri,
		std::function< EigMatNX< Complex, 3 >(ConstEigRef< EigMatNX< Float, 3 > >)>	field_eval,
		TriangleQuadratureBase< 3 > &	tri_quad,
		const bool	rotated = `false`
	)

static

Tests a field on the RWG functions associated with the edges of a given triangle.

Parameters

[in]	tri	- Triangle for whose edges the RWG function is to be evaluated.
[in]	field_eval	- Function or class with `operator()` that evaluates the vector field at given set of points in the triangle.
[in]	tri_quad	- Triangle quadrature object to use for integration over the triangle.
[in]	rotated	- If true, tests the field with rotated RWG functions (nxRWG).

Returns: Tested field on each RWG function associated with the edges of tri.

Computes

\[ \int_{\mathrm{tri}} d\mathcal{S}\,\vec{f_n}(\vec{r})\cdot \vec{g}(\vec{r}) \]

for each triangle edge \( n \), where \( \vec{g}(\vec{r}) \) is a vector field, and \( \vec{f_n}(\vec{r}) \) is the RWG function associated with edge \( n \) of tri.

Definition at line 52 of file function_space.cpp.

◆ reconstruct_field()

EigMatNX< Complex, 3 > bem::rwg::Rwg::reconstruct_field	(	const TriangleMesh< 3 > &	mesh,
		const MatrixBase< Complex > &	coeffs,
		ConstEigRef< EigMatNX< Float, 3 > >	points,
		const bool	rotated = `false`
	)

static

Reconstructs a vector field expressed with RWG functions on a given triangle mesh.

Parameters

[in]	mesh	- Triangle mesh on which the field is defined.
[in]	coeffs	- Vector of RWG coefficients for each mesh edge.
[in]	points	- Points on which to sample the field.
[in]	rotated	- If true, the field is expressed with rotated RWG functions (nxRWG).

Returns: Vector field sampled at points.

Examples: /examples/ex01_start_here.cpp, and /examples/ex02_assemblers.cpp.

Definition at line 74 of file function_space.cpp.

The documentation for this class was generated from the following files:

source/rwg/function_space.hpp
source/rwg/function_space.cpp