gsL2Projection< T > Struct Template Reference

Detailed Description

template<class T>
struct gismo::gsL2Projection< T >

Class that performs an L2 projection.

Template Parameters

T	coefficient type

Static Public Member Functions
static T	projectFunction (const gsMultiBasis< T > &basis, const gsFunctionSet< T > &source, const gsMultiPatch< T > &geometry, gsMatrix< T > &result)
	Projects a function on a basis. More...
static T	projectFunction (const gsMultiBasis< T > &basis, const gsFunctionSet< T > &source, const gsMultiPatch< T > &geometry, gsMultiPatch< T > &result)
	Projects a function on a basis. More...
static T	projectFunction (const gsMultiBasis< T > &intbasis, const gsMappedBasis< 2, T > &basis, const gsFunctionSet< T > &source, const gsMultiPatch< T > &geometry, gsMatrix< T > &result)
	Projects a function on a basis. More...
static T	projectGeometry (const gsBasis< T > &basis, const gsGeometry< T > &geometry, gsMatrix< T > &result)
	Projects a source geometry onto basis and returns it in result. More...
static T	projectGeometry (const gsMultiBasis< T > &basis, const gsFunctionSet< T > &geometry, gsMatrix< T > &result)
	Projects a source geometry onto basis and returns it in result. More...
static T	projectGeometry (const gsMultiBasis< T > &basis, const gsFunctionSet< T > &geometry, gsMultiPatch< T > &result)
	Projects a source geometry onto basis and returns it in result. More...
static T	projectGeometry (const gsMultiBasis< T > &intbasis, const gsMappedBasis< 2, T > &basis, const gsFunctionSet< T > &geometry, gsMatrix< T > &result)
	Projects a source geometry onto basis and returns it in result. More...
static T	projectGeometryBoundaries (const gsMultiBasis< T > &basis, const gsMultiPatch< T > &geometry, gsMultiPatch< T > &result)
	Projects a source geometry onto basis and returns it in result. Fixes the boundaries. More...
static T	projectGeometryPenalty (const gsMultiBasis< T > &basis, const gsMultiPatch< T > &geometry, gsMultiPatch< T > &result, T penalty=1e3)
	Projects a source geometry onto basis and returns it in result. Penalizes interfaces and boundaries. More...

Member Function Documentation

T projectFunction ( const gsMultiBasis< T > &  basis, const gsFunctionSet< T > &  source, const gsMultiPatch< T > &  geometry, gsMatrix< T > &  result  )

static

Projects a function on a basis.

Parameters

[in]	basis	The basis to project on
[in]	source	The source function
[in]	geometry	The geometry to evaluate the function on
	result	The coefficients of the function

Returns

The L2 error of the projection

T projectFunction ( const gsMultiBasis< T > &  basis, const gsFunctionSet< T > &  source, const gsMultiPatch< T > &  geometry, gsMultiPatch< T > &  result  )

static

Projects a function on a basis.

Parameters

[in]	basis	The basis to project on
[in]	source	The source function
[in]	geometry	The geometry to evaluate the function on
	result	The function as a multipatch

Returns

The L2 error of the projection

T projectFunction ( const gsMultiBasis< T > &  intbasis, const gsMappedBasis< 2, T > &  basis, const gsFunctionSet< T > &  source, const gsMultiPatch< T > &  geometry, gsMatrix< T > &  result  )

static

Projects a function on a basis.

Parameters

[in]	intbasis	The basis used for quadrature
[in]	basis	The basis to project on
[in]	source	The source function
[in]	geometry	The geometry to evaluate the function on
	result	The function as a multipatch

Returns

The L2 error of the projection

T projectGeometry ( const gsBasis< T > &  basis, const gsGeometry< T > &  geometry, gsMatrix< T > &  result  )

static

Projects a source geometry onto basis and returns it in result.

Parameters

[in]	basis	The basis to project on
[in]	geometry	The geometry
	result	The coefficients of the new geometry on basis

Returns

The L2 error of the projection

T projectGeometry ( const gsMultiBasis< T > &  basis, const gsFunctionSet< T > &  geometry, gsMatrix< T > &  result  )

static

Projects a source geometry onto basis and returns it in result.

Parameters

[in]	basis	The basis to project on
[in]	geometry	The geometry
	result	The coefficients of the new geometry on basis

Returns

The L2 error of the projection

T projectGeometry ( const gsMultiBasis< T > &  basis, const gsFunctionSet< T > &  geometry, gsMultiPatch< T > &  result  )

static

Projects a source geometry onto basis and returns it in result.

Parameters

[in]	basis	The basis to project on
[in]	geometry	The geometry
	result	The new geometry

Returns

The L2 error of the projection

T projectGeometry ( const gsMultiBasis< T > &  intbasis, const gsMappedBasis< 2, T > &  basis, const gsFunctionSet< T > &  geometry, gsMatrix< T > &  result  )

static

Projects a source geometry onto basis and returns it in result.

Parameters

[in]	intbasis	The basis used for quadrature
[in]	basis	The mapped basis to project on
[in]	geometry	The geometry
	result	The coefficients of the new geometry on basis

Returns

The L2 error of the projection

T projectGeometryBoundaries ( const gsMultiBasis< T > &  basis, const gsMultiPatch< T > &  geometry, gsMultiPatch< T > &  result  )

static

Projects a source geometry onto basis and returns it in result. Fixes the boundaries.

Parameters

[in]	basis	The basis to project on
[in]	geometry	The geometry
	result	The coefficients of the new geometry on basis

Returns

The L2 error of the projection

T projectGeometryPenalty ( const gsMultiBasis< T > &  basis, const gsMultiPatch< T > &  geometry, gsMultiPatch< T > &  result, T  penalty = 1e3  )

static

Projects a source geometry onto basis and returns it in result. Penalizes interfaces and boundaries.

Parameters

[in]	basis	The basis to project on
[in]	geometry	The geometry
	result	The coefficients of the new geometry on basis
[in]	penalty	The penalty factor

Returns

The L2 error of the projection