MFEM  v3.4
Finite element discretization library
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mfem::NURBS2DFiniteElement Class Reference

#include <fe.hpp>

Inheritance diagram for mfem::NURBS2DFiniteElement:
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Collaboration diagram for mfem::NURBS2DFiniteElement:
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Public Member Functions

 NURBS2DFiniteElement (int p)
 
 NURBS2DFiniteElement (int px, int py)
 
virtual void SetOrder () const
 Update the NURBSFiniteElement according to the currently set knot vectors. More...
 
virtual void CalcShape (const IntegrationPoint &ip, Vector &shape) const
 Evaluate the values of all shape functions of a scalar finite element in reference space at the given point ip. More...
 
virtual void CalcDShape (const IntegrationPoint &ip, DenseMatrix &dshape) const
 Evaluate the gradients of all shape functions of a scalar finite element in reference space at the given point ip. More...
 
- Public Member Functions inherited from mfem::NURBSFiniteElement
 NURBSFiniteElement (int D, int G, int Do, int O, int F)
 
void Reset () const
 
void SetIJK (const int *IJK) const
 
int GetPatch () const
 
void SetPatch (int p) const
 
int GetElement () const
 
void SetElement (int e) const
 
Array< const KnotVector * > & KnotVectors () const
 
VectorWeights () const
 
- Public Member Functions inherited from mfem::ScalarFiniteElement
 ScalarFiniteElement (int D, int G, int Do, int O, int F=FunctionSpace::Pk)
 
 c_shape (Dof)
 
void SetMapType (int M)
 
void NodalLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I, const ScalarFiniteElement &fine_fe) const
 Nodal interpolation. More...
 
void ScalarLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I, const ScalarFiniteElement &fine_fe) const
 "Interpolation" defined through local L2-projection. More...
 
- Public Member Functions inherited from mfem::FiniteElement
 FiniteElement (int D, int G, int Do, int O, int F=FunctionSpace::Pk)
 
int GetDim () const
 Returns the reference space dimension for the finite element. More...
 
int GetGeomType () const
 Returns the Geometry::Type of the reference element. More...
 
int GetDof () const
 Returns the number of degrees of freedom in the finite element. More...
 
int GetOrder () const
 Returns the order of the finite element. In the case of anisotropic orders, returns the maximum order. More...
 
bool HasAnisotropicOrders () const
 Returns true if the FiniteElement basis may be using different orders/degrees in different spatial directions. More...
 
const int * GetAnisotropicOrders () const
 Returns an array containing the anisotropic orders/degrees. More...
 
int Space () const
 Returns the type of space on each element. More...
 
int GetRangeType () const
 
int GetDerivRangeType () const
 
int GetMapType () const
 
int GetDerivType () const
 
int GetDerivMapType () const
 
void CalcPhysShape (ElementTransformation &Trans, Vector &shape) const
 Evaluate the values of all shape functions of a scalar finite element in physical space at the point described by Trans. More...
 
void CalcPhysDShape (ElementTransformation &Trans, DenseMatrix &dshape) const
 Evaluate the gradients of all shape functions of a scalar finite element in physical space at the point described by Trans. More...
 
const IntegrationRuleGetNodes () const
 
virtual void CalcVShape (const IntegrationPoint &ip, DenseMatrix &shape) const
 Evaluate the values of all shape functions of a vector finite element in reference space at the given point ip. More...
 
virtual void CalcVShape (ElementTransformation &Trans, DenseMatrix &shape) const
 Evaluate the values of all shape functions of a vector finite element in physical space at the point described by Trans. More...
 
void CalcPhysVShape (ElementTransformation &Trans, DenseMatrix &shape) const
 Equivalent to the CalcVShape() method with the same arguments. More...
 
virtual void CalcDivShape (const IntegrationPoint &ip, Vector &divshape) const
 Evaluate the divergence of all shape functions of a vector finite element in reference space at the given point ip. More...
 
void CalcPhysDivShape (ElementTransformation &Trans, Vector &divshape) const
 Evaluate the divergence of all shape functions of a vector finite element in physical space at the point described by Trans. More...
 
virtual void CalcCurlShape (const IntegrationPoint &ip, DenseMatrix &curl_shape) const
 Evaluate the curl of all shape functions of a vector finite element in reference space at the given point ip. More...
 
void CalcPhysCurlShape (ElementTransformation &Trans, DenseMatrix &curl_shape) const
 Evaluate the curl of all shape functions of a vector finite element in physical space at the point described by Trans. More...
 
virtual void GetFaceDofs (int face, int **dofs, int *ndofs) const
 
virtual void CalcHessian (const IntegrationPoint &ip, DenseMatrix &h) const
 
virtual void GetLocalInterpolation (ElementTransformation &Trans, DenseMatrix &I) const
 Return the local interpolation matrix I (Dof x Dof) where the fine element is the image of the base geometry under the given transformation. More...
 
virtual void GetTransferMatrix (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const
 Return interpolation matrix, I, which maps dofs from a coarse element, fe, to the fine dofs on this finite element. More...
 
virtual void Project (Coefficient &coeff, ElementTransformation &Trans, Vector &dofs) const
 
virtual void Project (VectorCoefficient &vc, ElementTransformation &Trans, Vector &dofs) const
 
virtual void ProjectMatrixCoefficient (MatrixCoefficient &mc, ElementTransformation &T, Vector &dofs) const
 
virtual void ProjectDelta (int vertex, Vector &dofs) const
 
virtual void Project (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &I) const
 
virtual void ProjectGrad (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &grad) const
 
virtual void ProjectCurl (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &curl) const
 
virtual void ProjectDiv (const FiniteElement &fe, ElementTransformation &Trans, DenseMatrix &div) const
 
virtual ~FiniteElement ()
 

Protected Attributes

Vector u
 
Vector shape_x
 
Vector shape_y
 
Vector dshape_x
 
Vector dshape_y
 
- Protected Attributes inherited from mfem::NURBSFiniteElement
Array< const KnotVector * > kv
 
const int * ijk
 
int patch
 
int elem
 
Vector weights
 
- Protected Attributes inherited from mfem::ScalarFiniteElement
Vector c_shape
 
- Protected Attributes inherited from mfem::FiniteElement
int Dim
 Dimension of reference space. More...
 
int GeomType
 Geometry::Type of the reference element. More...
 
int FuncSpace
 
int RangeType
 
int MapType
 
int DerivType
 
int DerivRangeType
 
int DerivMapType
 
int Dof
 Number of degrees of freedom. More...
 
int Order
 Order/degree of the shape functions. More...
 
int Orders [Geometry::MaxDim]
 Anisotropic orders. More...
 
IntegrationRule Nodes
 
DenseMatrix vshape
 

Additional Inherited Members

- Public Types inherited from mfem::FiniteElement
enum  { SCALAR, VECTOR }
 Enumeration for RangeType and DerivRangeType. More...
 
enum  { VALUE, INTEGRAL, H_DIV, H_CURL }
 Enumeration for MapType: defines how reference functions are mapped to physical space. More...
 
enum  { NONE, GRAD, DIV, CURL }
 Enumeration for DerivType: defines which derivative method is implemented. More...
 
- Static Public Member Functions inherited from mfem::FiniteElement
static bool IsClosedType (int b_type)
 
static bool IsOpenType (int b_type)
 
static int VerifyClosed (int b_type)
 
static int VerifyOpen (int b_type)
 
static int VerifyNodal (int b_type)
 
- Public Attributes inherited from mfem::ScalarFiniteElement
 __pad0__: FiniteElement(D
 
 G
 
 Do
 
 O
 
 F
 
- Static Protected Member Functions inherited from mfem::ScalarFiniteElement
static const ScalarFiniteElementCheckScalarFE (const FiniteElement &fe)
 

Detailed Description

Definition at line 2577 of file fe.hpp.

Constructor & Destructor Documentation

mfem::NURBS2DFiniteElement::NURBS2DFiniteElement ( int  p)
inline

Definition at line 2583 of file fe.hpp.

mfem::NURBS2DFiniteElement::NURBS2DFiniteElement ( int  px,
int  py 
)
inline

Definition at line 2589 of file fe.hpp.

Member Function Documentation

void mfem::NURBS2DFiniteElement::CalcDShape ( const IntegrationPoint ip,
DenseMatrix dshape 
) const
virtual

Evaluate the gradients of all shape functions of a scalar finite element in reference space at the given point ip.

Each row of the result DenseMatrix dshape contains the derivatives of one shape function. The size (Dof x Dim) of dshape must be set in advance.

Implements mfem::FiniteElement.

Definition at line 10991 of file fe.cpp.

void mfem::NURBS2DFiniteElement::CalcShape ( const IntegrationPoint ip,
Vector shape 
) const
virtual

Evaluate the values of all shape functions of a scalar finite element in reference space at the given point ip.

The size (Dof) of the result Vector shape must be set in advance.

Implements mfem::FiniteElement.

Definition at line 10972 of file fe.cpp.

void mfem::NURBS2DFiniteElement::SetOrder ( ) const
virtual

Update the NURBSFiniteElement according to the currently set knot vectors.

Reimplemented from mfem::NURBSFiniteElement.

Definition at line 10957 of file fe.cpp.

Member Data Documentation

Vector mfem::NURBS2DFiniteElement::dshape_x
mutableprotected

Definition at line 2580 of file fe.hpp.

Vector mfem::NURBS2DFiniteElement::dshape_y
mutableprotected

Definition at line 2580 of file fe.hpp.

Vector mfem::NURBS2DFiniteElement::shape_x
mutableprotected

Definition at line 2580 of file fe.hpp.

Vector mfem::NURBS2DFiniteElement::shape_y
mutableprotected

Definition at line 2580 of file fe.hpp.

Vector mfem::NURBS2DFiniteElement::u
mutableprotected

Definition at line 2580 of file fe.hpp.


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