SplineField Class Reference

Utility class for spline-based finite element fields. More...

#include <SplineField.h>

Static Public Member Functions
static bool	evalMapping (const Go::SplineSurface &surf, int nsd, const ItgPoint &x, std::vector< int > &ip, Matrix &Xnod, Matrix &Jac, Matrix &dNdX, Matrix3D *d2NdX2=nullptr, Matrix3D *Hess=nullptr)
	Evaluate the Jacobian (and Hessian) of the geometry mapping. More...
static bool	evalBasis (const Go::SplineSurface &surf, const ItgPoint &x, std::vector< int > &ip, const Matrix &Xnod, const Matrix &Jac, Matrix &dNdX, Matrix3D *d2NdX2=nullptr, Matrix3D *Hess=nullptr)
	Evaluate a basis. More...
static bool	evalMapping (const Go::SplineVolume &vol, const ItgPoint &x, std::vector< int > &ip, Matrix &Xnod, Matrix &Jac, Matrix &dNdX, Matrix3D *d2NdX2=nullptr, Matrix3D *Hess=nullptr)
	Evaluate the Jacobian (and Hessian) of the geometry mapping. More...
static bool	evalBasis (const Go::SplineVolume &vol, const ItgPoint &x, std::vector< int > &ip, const Matrix &Xnod, const Matrix &Jac, Matrix &dNdX, Matrix3D *d2NdX2=nullptr, Matrix3D *Hess=nullptr)
	Evaluate a basis. More...

Detailed Description

Utility class for spline-based finite element fields.

This class implements the method to extract the geometry mapping and evaluate a basis.

Member Function Documentation

evalBasis() [1/2]

bool SplineField::evalBasis ( const Go::SplineSurface &  surf, const ItgPoint &  x, std::vector< int > &  ip, const Matrix &  Xnod, const Matrix &  Jac, Matrix &  dNdX, Matrix3D *  d2NdX2 = nullptr, Matrix3D *  Hess = nullptr  )

static

Evaluate a basis.

Parameters

surf	Surface to evaluate for
x	Point to evaluate in
ip	Vector of basis function indices
Xnod	Geometry coefficients in point
Jac	Jacobian of geometry mapping in point
dNdX	Derivatives of basis functions in point
d2NdX2	Second derivatives of basis functions in point
Hess	Hessian of geometry mapping in point

References utl::matrixBase< T >::clear(), SplineUtils::extractBasis(), utl::Hessian(), utl::matrix< T >::multiply(), ASMs2D::scatterInd(), ItgPoint::u, and ItgPoint::v.

Referenced by SplineFields2D::gradFE(), SplineFields2Dmx::gradFE(), SplineFields3D::gradFE(), SplineFields3Dmx::gradFE(), SplineField2D::gradFE(), SplineField3D::gradFE(), SplineField2D::hessianFE(), SplineField3D::hessianFE(), SplineFields2D::hessianFE(), SplineFields2Dmx::hessianFE(), SplineFields3D::hessianFE(), and SplineFields3Dmx::hessianFE().

evalBasis() [2/2]

bool SplineField::evalBasis ( const Go::SplineVolume &  vol, const ItgPoint &  x, std::vector< int > &  ip, const Matrix &  Xnod, const Matrix &  Jac, Matrix &  dNdX, Matrix3D *  d2NdX2 = nullptr, Matrix3D *  Hess = nullptr  )

static

Evaluate a basis.

Parameters

vol	Volume to evaluate for
x	Point to evaluate in
ip	Vector of basis function indices
Xnod	Geometry coefficients in point
Jac	Jacobian of geometry mapping in point
dNdX	Derivatives of basis functions in point
d2NdX2	Second derivatives of basis functions in point
Hess	Hessian of geometry mapping in point

References utl::matrixBase< T >::clear(), SplineUtils::extractBasis(), utl::Hessian(), utl::matrix< T >::multiply(), ASMs3D::scatterInd(), ItgPoint::u, ItgPoint::v, and ItgPoint::w.

evalMapping() [1/2]

bool SplineField::evalMapping ( const Go::SplineSurface &  surf, int  nsd, const ItgPoint &  x, std::vector< int > &  ip, Matrix &  Xnod, Matrix &  Jac, Matrix &  dNdX, Matrix3D *  d2NdX2 = nullptr, Matrix3D *  Hess = nullptr  )

static

Evaluate the Jacobian (and Hessian) of the geometry mapping.

Parameters

surf	Surface to evaluate for
nsd	Number of spatial dimensions
x	Point to evaluate in
ip	Vector of basis function indices
Xnod	Geometry coefficients in point
Jac	Jacobian of geometry mapping in point
dNdX	Basis function derivatives in point
d2NdX2	Second derivatives of basis functions in point
Hess	Hessian of geometry mapping in point

References SplineUtils::extractBasis(), utl::matrix< T >::fillColumn(), utl::Hessian(), utl::Jacobian(), utl::matrix< T >::resize(), ASMs2D::scatterInd(), ItgPoint::u, and ItgPoint::v.

Referenced by SplineFields2D::gradFE(), SplineFields2Dmx::gradFE(), SplineFields3D::gradFE(), SplineFields3Dmx::gradFE(), SplineField2D::gradFE(), SplineField3D::gradFE(), SplineField2D::hessianFE(), SplineField3D::hessianFE(), SplineFields2D::hessianFE(), SplineFields2Dmx::hessianFE(), SplineFields3D::hessianFE(), and SplineFields3Dmx::hessianFE().

evalMapping() [2/2]

bool SplineField::evalMapping ( const Go::SplineVolume &  vol, const ItgPoint &  x, std::vector< int > &  ip, Matrix &  Xnod, Matrix &  Jac, Matrix &  dNdX, Matrix3D *  d2NdX2 = nullptr, Matrix3D *  Hess = nullptr  )

static

Evaluate the Jacobian (and Hessian) of the geometry mapping.

Parameters

vol	Volume to evaluate for
x	Point to evaluate in
ip	Vector of basis function indices
Xnod	Geometry coefficients in point
Jac	Jacobian of geometry mapping in point
dNdX	Basis function derivatives in point
d2NdX2	Second derivatives of basis functions in point
Hess	Hessian of geometry mapping in point

References SplineUtils::extractBasis(), utl::matrix< T >::fillColumn(), utl::Hessian(), utl::Jacobian(), utl::matrix< T >::resize(), ASMs3D::scatterInd(), ItgPoint::u, ItgPoint::v, and ItgPoint::w.

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

• src/ASM/SplineField.h
• src/ASM/SplineField.C