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MFEM
v4.5.1
Finite element discretization library
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Collection of finite elements from the same family in multiple dimensions. This class is used to match the degrees of freedom of a FiniteElementSpace between elements, and to provide the finite element restriction from an element to its boundary. More...
#include <fe_coll.hpp>
Public Types | |
enum | { CONTINUOUS, TANGENTIAL, NORMAL, DISCONTINUOUS } |
Enumeration for ContType: defines the continuity of the field across element interfaces. More... | |
Public Member Functions | |
virtual const FiniteElement * | FiniteElementForGeometry (Geometry::Type GeomType) const =0 |
virtual int | DofForGeometry (Geometry::Type GeomType) const =0 |
virtual const int * | DofOrderForOrientation (Geometry::Type GeomType, int Or) const =0 |
Returns an array, say p, that maps a local permuted index i to a local base index: base_i = p[i]. More... | |
virtual const char * | Name () const |
virtual int | GetContType () const =0 |
int | HasFaceDofs (Geometry::Type geom, int p) const |
virtual const FiniteElement * | TraceFiniteElementForGeometry (Geometry::Type GeomType) const |
virtual FiniteElementCollection * | GetTraceCollection () const |
virtual | ~FiniteElementCollection () |
void | SubDofOrder (Geometry::Type Geom, int SDim, int Info, Array< int > &dofs) const |
Get the local dofs for a given sub-manifold. More... | |
const FiniteElement * | GetFE (Geometry::Type geom, int p) const |
Variable order version of FiniteElementForGeometry(). More... | |
int | GetNumDof (Geometry::Type geom, int p) const |
Variable order version of DofForGeometry(). More... | |
const int * | GetDofOrdering (Geometry::Type geom, int p, int ori) const |
Variable order version of DofOrderForOrientation(). More... | |
int | GetOrder () const |
Return the order (polynomial degree) of the FE collection, corresponding to the order/degree returned by FiniteElement::GetOrder() of the highest-dimensional FiniteElements defined by the collection. More... | |
virtual FiniteElementCollection * | Clone (int p) const |
Instantiate a new collection of the same type with a different order. More... | |
Static Public Member Functions | |
static FiniteElementCollection * | New (const char *name) |
Factory method: return a newly allocated FiniteElementCollection according to the given name. More... | |
Protected Member Functions | |
FiniteElementCollection () | |
FiniteElementCollection (int p) | |
void | InitVarOrder (int p) const |
Static Protected Member Functions | |
template<Geometry::Type geom> | |
static void | GetNVE (int &nv, int &ne) |
template<Geometry::Type geom, typename v_t > | |
static void | GetEdge (int &nv, v_t &v, int &ne, int &e, int &eo, const int edge_info) |
template<Geometry::Type geom, Geometry::Type f_geom, typename v_t , typename e_t , typename eo_t > | |
static void | GetFace (int &nv, v_t &v, int &ne, e_t &e, eo_t &eo, int &nf, int &f, Geometry::Type &fg, int &fo, const int face_info) |
Protected Attributes | |
const int | base_p |
Order as returned by GetOrder(). More... | |
Array< FiniteElementCollection * > | var_orders |
Collection of finite elements from the same family in multiple dimensions. This class is used to match the degrees of freedom of a FiniteElementSpace between elements, and to provide the finite element restriction from an element to its boundary.
Definition at line 26 of file fe_coll.hpp.
anonymous enum |
Enumeration for ContType: defines the continuity of the field across element interfaces.
Definition at line 45 of file fe_coll.hpp.
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virtual |
Definition at line 313 of file fe_coll.cpp.
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inlineprotected |
Definition at line 211 of file fe_coll.hpp.
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inlineprotected |
Definition at line 212 of file fe_coll.hpp.
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virtual |
Instantiate a new collection of the same type with a different order.
Generally, the order parameter p is NOT the same as the parameter p used by some of the constructors of derived classes. Instead, this p represents the order of the new FE collection as it will be returned by its GetOrder() method.
Reimplemented in mfem::ND_FECollection, mfem::RT_FECollection, mfem::L2_FECollection, and mfem::H1_FECollection.
Definition at line 296 of file fe_coll.cpp.
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pure virtual |
Implemented in mfem::Local_FECollection, mfem::RT1_3DFECollection, mfem::RT0_3DFECollection, mfem::ND1_3DFECollection, mfem::RefinedLinearFECollection, mfem::QuadraticDiscont3DFECollection, mfem::LinearDiscont3DFECollection, mfem::Const3DFECollection, mfem::CubicDiscont2DFECollection, mfem::GaussQuadraticDiscont2DFECollection, mfem::QuadraticPosDiscont2DFECollection, mfem::QuadraticDiscont2DFECollection, mfem::P1OnQuadFECollection, mfem::GaussLinearDiscont2DFECollection, mfem::LinearDiscont2DFECollection, mfem::Const2DFECollection, mfem::RT2_2DFECollection, mfem::RT1_2DFECollection, mfem::RT0_2DFECollection, mfem::LinearNonConf3DFECollection, mfem::CrouzeixRaviartFECollection, mfem::CubicFECollection, mfem::QuadraticPosFECollection, mfem::QuadraticFECollection, mfem::LinearFECollection, mfem::NURBSFECollection, mfem::RT_R2D_FECollection, mfem::ND_R2D_FECollection, mfem::RT_R1D_FECollection, mfem::ND_R1D_FECollection, mfem::ND_FECollection, mfem::RT_FECollection, mfem::L2_FECollection, and mfem::H1_FECollection.
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pure virtual |
Returns an array, say p, that maps a local permuted index i to a local base index: base_i = p[i].
Implemented in mfem::Local_FECollection, mfem::RT1_3DFECollection, mfem::RT0_3DFECollection, mfem::ND1_3DFECollection, mfem::RefinedLinearFECollection, mfem::QuadraticDiscont3DFECollection, mfem::LinearDiscont3DFECollection, mfem::Const3DFECollection, mfem::CubicDiscont2DFECollection, mfem::GaussQuadraticDiscont2DFECollection, mfem::QuadraticPosDiscont2DFECollection, mfem::QuadraticDiscont2DFECollection, mfem::P1OnQuadFECollection, mfem::GaussLinearDiscont2DFECollection, mfem::LinearDiscont2DFECollection, mfem::Const2DFECollection, mfem::RT2_2DFECollection, mfem::RT1_2DFECollection, mfem::RT0_2DFECollection, mfem::LinearNonConf3DFECollection, mfem::CrouzeixRaviartFECollection, mfem::CubicFECollection, mfem::QuadraticPosFECollection, mfem::QuadraticFECollection, mfem::LinearFECollection, mfem::NURBSFECollection, mfem::RT_R2D_FECollection, mfem::ND_R2D_FECollection, mfem::RT_R1D_FECollection, mfem::ND_R1D_FECollection, mfem::ND_FECollection, mfem::RT_FECollection, mfem::L2_FECollection, and mfem::H1_FECollection.
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pure virtual |
Implemented in mfem::Local_FECollection, mfem::RT1_3DFECollection, mfem::RT0_3DFECollection, mfem::ND1_3DFECollection, mfem::RefinedLinearFECollection, mfem::QuadraticDiscont3DFECollection, mfem::LinearDiscont3DFECollection, mfem::Const3DFECollection, mfem::CubicDiscont2DFECollection, mfem::GaussQuadraticDiscont2DFECollection, mfem::QuadraticPosDiscont2DFECollection, mfem::QuadraticDiscont2DFECollection, mfem::P1OnQuadFECollection, mfem::GaussLinearDiscont2DFECollection, mfem::LinearDiscont2DFECollection, mfem::Const2DFECollection, mfem::RT2_2DFECollection, mfem::RT1_2DFECollection, mfem::RT0_2DFECollection, mfem::LinearNonConf3DFECollection, mfem::CrouzeixRaviartFECollection, mfem::CubicFECollection, mfem::QuadraticPosFECollection, mfem::QuadraticFECollection, mfem::LinearFECollection, mfem::NURBSFECollection, mfem::RT_R2D_FECollection, mfem::ND_R2D_FECollection, mfem::RT_R1D_FECollection, mfem::ND_R1D_FECollection, mfem::ND_FECollection, mfem::RT_FECollection, mfem::L2_FECollection, and mfem::H1_FECollection.
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pure virtual |
Implemented in mfem::Local_FECollection, mfem::RT1_3DFECollection, mfem::RT0_3DFECollection, mfem::ND1_3DFECollection, mfem::RefinedLinearFECollection, mfem::QuadraticDiscont3DFECollection, mfem::LinearDiscont3DFECollection, mfem::Const3DFECollection, mfem::CubicDiscont2DFECollection, mfem::GaussQuadraticDiscont2DFECollection, mfem::QuadraticPosDiscont2DFECollection, mfem::QuadraticDiscont2DFECollection, mfem::P1OnQuadFECollection, mfem::GaussLinearDiscont2DFECollection, mfem::LinearDiscont2DFECollection, mfem::Const2DFECollection, mfem::RT2_2DFECollection, mfem::RT1_2DFECollection, mfem::RT0_2DFECollection, mfem::LinearNonConf3DFECollection, mfem::CrouzeixRaviartFECollection, mfem::CubicFECollection, mfem::QuadraticPosFECollection, mfem::QuadraticFECollection, mfem::LinearFECollection, mfem::NURBSFECollection, mfem::RT_R2D_FECollection, mfem::ND_R2D_FECollection, mfem::RT_R1D_FECollection, mfem::ND_R1D_FECollection, mfem::ND_FECollection, mfem::RT_FECollection, mfem::L2_FECollection, and mfem::H1_FECollection.
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inline |
Variable order version of DofOrderForOrientation().
The order parameter p represents the order of the highest-dimensional FiniteElements the fixed-order collection we want to query. In general, this order is different from the order of the element corresponding to geom in that fixed-order collection.
Definition at line 189 of file fe_coll.hpp.
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inlinestaticprotected |
Definition at line 332 of file fe_coll.cpp.
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inlinestaticprotected |
Definition at line 352 of file fe_coll.cpp.
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inline |
Variable order version of FiniteElementForGeometry().
The order parameter p represents the order of the highest-dimensional FiniteElements the fixed-order collection we want to query. In general, this order is different from the order of the returned FiniteElement.
Definition at line 165 of file fe_coll.hpp.
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inline |
Variable order version of DofForGeometry().
The order parameter p represents the order of the highest-dimensional FiniteElements the fixed-order collection we want to query. In general, this order is different from the order of the element corresponding to geom in that fixed-order collection.
Definition at line 177 of file fe_coll.hpp.
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inlinestaticprotected |
Definition at line 322 of file fe_coll.cpp.
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inline |
Return the order (polynomial degree) of the FE collection, corresponding to the order/degree returned by FiniteElement::GetOrder() of the highest-dimensional FiniteElements defined by the collection.
Definition at line 199 of file fe_coll.hpp.
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virtual |
Reimplemented in mfem::NURBSFECollection, mfem::RT_R2D_FECollection, mfem::ND_R2D_FECollection, mfem::RT_R1D_FECollection, mfem::ND_R1D_FECollection, mfem::ND_FECollection, mfem::RT_FECollection, and mfem::H1_FECollection.
Definition at line 45 of file fe_coll.cpp.
int mfem::FiniteElementCollection::HasFaceDofs | ( | Geometry::Type | geom, |
int | p | ||
) | const |
Definition at line 25 of file fe_coll.cpp.
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protected |
Definition at line 304 of file fe_coll.cpp.
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inlinevirtual |
Reimplemented in mfem::Local_FECollection, mfem::RT1_3DFECollection, mfem::RT0_3DFECollection, mfem::ND1_3DFECollection, mfem::RefinedLinearFECollection, mfem::QuadraticDiscont3DFECollection, mfem::LinearDiscont3DFECollection, mfem::Const3DFECollection, mfem::CubicDiscont2DFECollection, mfem::GaussQuadraticDiscont2DFECollection, mfem::QuadraticPosDiscont2DFECollection, mfem::QuadraticDiscont2DFECollection, mfem::P1OnQuadFECollection, mfem::GaussLinearDiscont2DFECollection, mfem::LinearDiscont2DFECollection, mfem::Const2DFECollection, mfem::RT2_2DFECollection, mfem::RT1_2DFECollection, mfem::RT0_2DFECollection, mfem::LinearNonConf3DFECollection, mfem::CrouzeixRaviartFECollection, mfem::CubicFECollection, mfem::QuadraticPosFECollection, mfem::QuadraticFECollection, mfem::LinearFECollection, mfem::NURBSFECollection, mfem::RT_R2D_FECollection, mfem::ND_R2D_FECollection, mfem::RT_R1D_FECollection, mfem::ND_R1D_FECollection, mfem::ND_FECollection, mfem::RT_FECollection, mfem::L2_FECollection, and mfem::H1_FECollection.
Definition at line 65 of file fe_coll.hpp.
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static |
Factory method: return a newly allocated FiniteElementCollection according to the given name.
FEC Name | Space | Order | BasisType | FiniteElement::MapT | Notes |
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H1_[DIM]_[ORDER] | H1 | * | 1 | VALUE | H1 nodal elements |
H1@[BTYPE]_[DIM]_[ORDER] | H1 | * | * | VALUE | H1 nodal elements |
H1Pos_[DIM]_[ORDER] | H1 | * | 1 | VALUE | H1 nodal elements |
H1Pos_Trace_[DIM]_[ORDER] | H^{1/2} | * | 2 | VALUE | H^{1/2}-conforming trace elements for H1 defined on the interface between mesh elements (faces,edges,vertices) |
H1_Trace_[DIM]_[ORDER] | H^{1/2} | * | 1 | VALUE | H^{1/2}-conforming trace elements for H1 defined on the interface between mesh elements (faces,edges,vertices) |
H1_Trace@[BTYPE]_[DIM]_[ORDER] | H^{1/2} | * | 1 | VALUE | H^{1/2}-conforming trace elements for H1 defined on the interface between mesh elements (faces,edges,vertices) |
ND_[DIM]_[ORDER] | H(curl) | * | 1 / 0 | H_CURL | Nedelec vector elements |
ND@[CBTYPE][OBTYPE]_[DIM]_[ORDER] | H(curl) | * | * / * | H_CURL | Nedelec vector elements |
ND_Trace_[DIM]_[ORDER] | H^{1/2} | * | 1 / 0 | H_CURL | H^{1/2}-conforming trace elements for H(curl) defined on the interface between mesh elements (faces) |
ND_Trace@[CBTYPE][OBTYPE]_[DIM]_[ORDER] | H^{1/2} | * | 1 / 0 | H_CURL | H^{1/2}-conforming trace elements for H(curl) defined on the interface between mesh elements (faces) |
RT_[DIM]_[ORDER] | H(div) | * | 1 / 0 | H_DIV | Raviart-Thomas vector elements |
RT@[CBTYPE][OBTYPE]_[DIM]_[ORDER] | H(div) | * | * / * | H_DIV | Raviart-Thomas vector elements |
RT_Trace_[DIM]_[ORDER] | H^{1/2} | * | 1 / 0 | INTEGRAL | H^{1/2}-conforming trace elements for H(div) defined on the interface between mesh elements (faces) |
RT_ValTrace_[DIM]_[ORDER] | H^{1/2} | * | 1 / 0 | VALUE | H^{1/2}-conforming trace elements for H(div) defined on the interface between mesh elements (faces) |
RT_Trace@[BTYPE]_[DIM]_[ORDER] | H^{1/2} | * | 1 / 0 | INTEGRAL | H^{1/2}-conforming trace elements for H(div) defined on the interface between mesh elements (faces) |
RT_ValTrace@[BTYPE]_[DIM]_[ORDER] | H^{1/2} | * | 1 / 0 | VALUE | H^{1/2}-conforming trace elements for H(div) defined on the interface between mesh elements (faces) |
L2_[DIM]_[ORDER] | L2 | * | 0 | VALUE | Discontinuous L2 elements |
L2_T[BTYPE]_[DIM]_[ORDER] | L2 | * | 0 | VALUE | Discontinuous L2 elements |
L2Int_[DIM]_[ORDER] | L2 | * | 0 | INTEGRAL | Discontinuous L2 elements |
L2Int_T[BTYPE]_[DIM]_[ORDER] | L2 | * | 0 | INTEGRAL | Discontinuous L2 elements |
DG_Iface_[DIM]_[ORDER] | - | * | 0 | VALUE | Discontinuous elements on the interface between mesh elements (faces) |
DG_Iface@[BTYPE]_[DIM]_[ORDER] | - | * | 0 | VALUE | Discontinuous elements on the interface between mesh elements (faces) |
DG_IntIface_[DIM]_[ORDER] | - | * | 0 | INTEGRAL | Discontinuous elements on the interface between mesh elements (faces) |
DG_IntIface@[BTYPE]_[DIM]_[ORDER] | - | * | 0 | INTEGRAL | Discontinuous elements on the interface between mesh elements (faces) |
NURBS[ORDER] | - | * | - | VALUE | Non-Uniform Rational B-Splines (NURBS) elements |
LinearNonConf3D | - | 1 | 1 | VALUE | Piecewise-linear nonconforming finite elements in 3D |
CrouzeixRaviart | - | - | - | - | Crouzeix-Raviart nonconforming elements in 2D |
Local_[FENAME] | - | - | - | - | Special collection that builds a local version out of the FENAME collection |
- | - | - | - | - | - |
Linear | H1 | 1 | 1 | VALUE | Left in for backward compatibility, consider using H1_ |
Quadratic | H1 | 2 | 1 | VALUE | Left in for backward compatibility, consider using H1_ |
QuadraticPos | H1 | 2 | 2 | VALUE | Left in for backward compatibility, consider using H1_ |
Cubic | H1 | 2 | 1 | VALUE | Left in for backward compatibility, consider using H1_ |
Const2D | L2 | 0 | 1 | VALUE | Left in for backward compatibility, consider using L2_ |
Const3D | L2 | 0 | 1 | VALUE | Left in for backward compatibility, consider using L2_ |
LinearDiscont2D | L2 | 1 | 1 | VALUE | Left in for backward compatibility, consider using L2_ |
GaussLinearDiscont2D | L2 | 1 | 0 | VALUE | Left in for backward compatibility, consider using L2_ |
P1OnQuad | H1 | 1 | 1 | VALUE | Linear P1 element with 3 nodes on a square |
QuadraticDiscont2D | L2 | 2 | 1 | VALUE | Left in for backward compatibility, consider using L2_ |
QuadraticPosDiscont2D | L2 | 2 | 2 | VALUE | Left in for backward compatibility, consider using L2_ |
GaussQuadraticDiscont2D | L2 | 2 | 0 | VALUE | Left in for backward compatibility, consider using L2_ |
CubicDiscont2D | L2 | 3 | 1 | VALUE | Left in for backward compatibility, consider using L2_ |
LinearDiscont3D | L2 | 1 | 1 | VALUE | Left in for backward compatibility, consider using L2_ |
QuadraticDiscont3D | L2 | 2 | 1 | VALUE | Left in for backward compatibility, consider using L2_ |
ND1_3D | H(Curl) | 1 | 1 / 0 | H_CURL | Left in for backward compatibility, consider using ND_ |
RT0_2D | H(Div) | 1 | 1 / 0 | H_DIV | Left in for backward compatibility, consider using RT_ |
RT1_2D | H(Div) | 2 | 1 / 0 | H_DIV | Left in for backward compatibility, consider using RT_ |
RT2_2D | H(Div) | 3 | 1 / 0 | H_DIV | Left in for backward compatibility, consider using RT_ |
RT0_3D | H(Div) | 1 | 1 / 0 | H_DIV | Left in for backward compatibility, consider using RT_ |
RT1_3D | H(Div) | 2 | 1 / 0 | H_DIV | Left in for backward compatibility, consider using RT_ |
Tag | Description |
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[DIM] | Dimension of the elements (1D, 2D, 3D) |
[ORDER] | Approximation order of the elements (P0, P1, P2, ...) |
[BTYPE] | BasisType of the element (0-GaussLegendre, 1 - GaussLobatto, 2-Bernstein, 3-OpenUniform, 4-CloseUniform, 5-OpenHalfUniform) |
[OBTYPE] | Open BasisType of the element for elements which have both types |
[CBTYPE] | Closed BasisType of the element for elements which have both types |
[FENAME] Is a special case for the Local FEC which generates a local version of a given FEC. It is selected from one of (BiCubic2DFiniteElement, Quad_Q3, Nedelec1HexFiniteElement, Hex_ND1, H1_[DIM]_[ORDER],H1Pos_[DIM]_[ORDER], L2_[DIM]_[ORDER] )
Definition at line 51 of file fe_coll.cpp.
void mfem::FiniteElementCollection::SubDofOrder | ( | Geometry::Type | Geom, |
int | SDim, | ||
int | Info, | ||
Array< int > & | dofs | ||
) | const |
Get the local dofs for a given sub-manifold.
Return the local dofs for a SDim-dimensional sub-manifold (0D - vertex, 1D
Definition at line 397 of file fe_coll.cpp.
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inlinevirtual |
Reimplemented in mfem::L2_FECollection.
Definition at line 71 of file fe_coll.hpp.
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protected |
Order as returned by GetOrder().
Definition at line 209 of file fe_coll.hpp.
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mutableprotected |
Definition at line 216 of file fe_coll.hpp.