MechSys  1.0
Computing library for simulations in continuum and discrete mechanics
Classes | Typedefs | Functions | Variables
FEM Namespace Reference

Finite Element Method. More...

Classes

class  Beam
struct  BCfunc
struct  FaceBc
struct  NodeBc
class  Domain
class  MPyPrms
 Forward declaration of Element since MPyPrms needs Element and Element needs MPyPrms. More...
class  Element
class  Hex20
class  Hex8
class  Lin2
class  Quad4
class  Quad8
class  Tet10
class  Tri15
class  Tri3
class  Tri6
class  EquilibElem
class  FlowElem
class  GeomElem
class  HydroMechElem
class  NLRodState
class  NLRod
class  BCFuncs
class  Node
struct  IntegPoint
class  Rod
class  Solver
class  RKSolver
class  STDSolver
class  UWPSolver
class  USigCondElem
class  USigElem
class  USigEpsElem
class  UWPElem

Typedefs

typedef std::map< Node
*, Array< double > > 		Res_t
 Maps node to results at nodes.
typedef std::map< int, Array
< Element * > > 		Tag2Eles_t
 Maps tag to elements.
typedef void(* pVTUfunc )(Vec3_t const &X, double Time, SDPair &KeysVals)
 Callback to be called in WriteVTU.
typedef Element *(* ElementMakerPtr )(int NDim, Mesh::Cell const &Cell, Model const *Mdl, Model const *XMdl, SDPair const &Prp, SDPair const &Ini, Array< Node * > const &Nodes)
typedef std::map< String,
ElementMakerPtr > 		ElementFactory_t
typedef std::map< String,
std::pair< String, String > > 		ElementVarKeys_t
 ProbNameNumDim => (UvarKeys,FvarKeys) map.
typedef std::map< String,
Array< String > > 		ElementExtraKeys_t
 ProbNameNumDim => extra boundary condition keys.
typedef GeomElem *(* GeomElemMakerPtr )(int NDim)
typedef std::map< String,
GeomElemMakerPtr > 		GeomElemFactory_t
typedef Solver *(* SolverMakerPtr )(Domain &Dom, SDPair const &Flags, Solver::pOutFun OutFun, void *OutDat, Solver::pOutFun DbgFun, void *DbgDat)
typedef std::map< String,
SolverMakerPtr > 		SolverFactory_t

Functions

Element * BeamMaker (int NDim, Mesh::Cell const &Cell, Model const *Mdl, Model const *XMdl, SDPair const &Prp, SDPair const &Ini, Array< Node * > const &Nodes)
int BeamRegister ()
std::ostream & operator<< (std::ostream &os, Domain const &D)
std::ostream & operator<< (std::ostream &os, Element const &E)
Element * AllocElement (String const &Name, int NDim, Mesh::Cell const &Cell, Model const *Mdl, Model const *XMdl, SDPair const &Prp, SDPair const &Ini, Array< Node * > const &Nodes)
GeomElem * Hex20Maker (int NDim)
int Hex20Register ()
GeomElem * Hex8Maker (int NDim)
int Hex8Register ()
GeomElem * Lin2Maker (int NDim)
int Lin2Register ()
GeomElem * Quad4Maker (int NDim)
int Quad4Register ()
GeomElem * Quad8Maker (int NDim)
int Quad8Register ()
GeomElem * Tet10Maker (int NDim)
int Tet10Register ()
GeomElem * Tri15Maker (int NDim)
int Tri15Register ()
GeomElem * Tri3Maker (int NDim)
int Tri3Register ()
GeomElem * Tri6Maker (int NDim)
int Tri6Register ()
Element * EquilibElemMaker (int NDim, Mesh::Cell const &Cell, Model const *Mdl, Model const *XMdl, SDPair const &Prp, SDPair const &Ini, Array< Node * > const &Nodes)
int EquilibElemRegister ()
Element * FlowElemMaker (int NDim, Mesh::Cell const &Cell, Model const *Mdl, Model const *XMdl, SDPair const &Prp, SDPair const &Ini, Array< Node * > const &Nodes)
int FlowElemRegister ()
GeomElem * AllocGeomElem (String const &Name, int NDim)
Element * HydroMechElemMaker (int NDim, Mesh::Cell const &Cell, Model const *Mdl, Model const *XMdl, SDPair const &Prp, SDPair const &Ini, Array< Node * > const &Nodes)
int HydroMechElemRegister ()
Element * NLRodMaker (int NDim, Mesh::Cell const &Cell, Model const *Mdl, Model const *XMdl, SDPair const &Prp, SDPair const &Ini, Array< Node * > const &Nodes)
int NLRodRegister ()
std::ostream & operator<< (std::ostream &os, Node const &N)
Element * RodMaker (int NDim, Mesh::Cell const &Cell, Model const *Mdl, Model const *XMdl, SDPair const &Prp, SDPair const &Ini, Array< Node * > const &Nodes)
int RodRegister ()
Solver * AllocSolver (String const &Name, Domain &Dom, SDPair const &Flags, Solver::pOutFun OutFun=NULL, void *OutDat=NULL, Solver::pOutFun DbgFun=NULL, void *DbgDat=NULL)
Solver * STDSolverMaker (Domain &Dom, SDPair const &Flags, Solver::pOutFun OutFun, void *OutDat, Solver::pOutFun DbgFun, void *DbgDat)
int STDSolverRegister ()
Solver * UWPSolverMaker (Domain &Dom, SDPair const &Flags, Solver::pOutFun OutFun, void *OutDat, Solver::pOutFun DbgFun, void *DbgDat)
int UWPSolverRegister ()
Element * USigCondMaker (int NDim, Mesh::Cell const &Cell, Model const *Mdl, Model const *XMdl, SDPair const &Prp, SDPair const &Ini, Array< Node * > const &Nodes)
int USigCondRegister ()
Element * USigElemMaker (int NDim, Mesh::Cell const &Cell, Model const *Mdl, Model const *XMdl, SDPair const &Prp, SDPair const &Ini, Array< Node * > const &Nodes)
int USigElemRegister ()
Element * USigEpsElemMaker (int NDim, Mesh::Cell const &Cell, Model const *Mdl, Model const *XMdl, SDPair const &Prp, SDPair const &Ini, Array< Node * > const &Nodes)
int USigEpsElemRegister ()
Element * UWPElemMaker (int NDim, Mesh::Cell const &Cell, Model const *Mdl, Model const *XMdl, SDPair const &Prp, SDPair const &Ini, Array< Node * > const &Nodes)
int UWPElemRegister ()

Variables

int __Beam_dummy_int = BeamRegister()
ElementFactory_t ElementFactory
SDPair PROB
 Structure mapping the problem name to a unique double value. Ex.: "Equilib" => 1.0.
ElementVarKeys_t ElementVarKeys
 Maps ProbNameNumDim to (UvarKeys,FvarKeys) Ex.: "Equilib2D" => ("ux uy","fx fy")
ElementExtraKeys_t ElementExtraKeys
 Maps ProbNameNumDim to extra BC keys Ex.: "Equilib2D" => ["qn", "qt"].
int __Hex20_dummy_int = Hex20Register()
int __Hex8_dummy_int = Hex8Register()
int __Lin2_dummy_int = Lin2Register()
int __Quad4_dummy_int = Quad4Register()
int __Quad8_dummy_int = Quad8Register()
int __Tet10_dummy_int = Tet10Register()
int __Tri15_dummy_int = Tri15Register()
int __Tri3_dummy_int = Tri3Register()
int __Tri6_dummy_int = Tri6Register()
int __EquilibElem_dummy_int = EquilibElemRegister()
int __FlowElem_dummy_int = FlowElemRegister()
SDPair GEOM
GeomElemFactory_t GeomElemFactory
int __HydroMechElem_dummy_int = HydroMechElemRegister()
int __NLRod_dummy_int = NLRodRegister()
const IntegPoint LIN_IP2 []
const IntegPoint LIN_IP3 []
const IntegPoint LIN_IP4 []
const IntegPoint LIN_IP5 []
const IntegPoint TRI_IP1 []
const IntegPoint TRI_IP3 []
const IntegPoint TRI_IP4 []
const IntegPoint TRI_IP6 []
const IntegPoint TRI_IP7 []
const IntegPoint TRI_IP12 []
const IntegPoint TRI_IP13 []
const IntegPoint TRI_IP16 []
const IntegPoint TRI_IP25 []
const IntegPoint TET_IP4 []
const IntegPoint QUAD_IP2 []
double __02r15 = 0.2*sqrt(15.0)
double __25d81 = 25.0/81.0
double __40d81 = 40.0/81.0
double __64d81 = 64.0/81.0
const IntegPoint QUAD_IP3 []
const IntegPoint QUAD_IP4 []
const IntegPoint QUAD_IP5 []
const IntegPoint HEX_IP2 []
const IntegPoint HEX_IP3 []
const IntegPoint HEX_IP4 []
const IntegPoint HEX_IP5 []
int __Rod_dummy_int = RodRegister()
SolverFactory_t SolverFactory
int __STDSolver_dummy_int = STDSolverRegister()
int __UWPSolver_dummy_int = UWPSolverRegister()
int __USigCond_dummy_int = USigCondRegister()
int __USigElem_dummy_int = USigElemRegister()
int __USigEpsElem_dummy_int = USigEpsElemRegister()
int __UWPElem_dummy_int = UWPElemRegister()

Detailed Description

Finite Element Method.

< Needed by WriteMPY: TODO: move WriteMPY to a Python script, then remove this.

Typedef Documentation

typedef std::map<String, Array<String> > FEM::ElementExtraKeys_t

ProbNameNumDim => extra boundary condition keys.

typedef std::map<String, ElementMakerPtr> FEM::ElementFactory_t
typedef Element*(* FEM::ElementMakerPtr)(int NDim, Mesh::Cell const &Cell, Model const *Mdl, Model const *XMdl, SDPair const &Prp, SDPair const &Ini, Array< Node * > const &Nodes)
typedef std::map<String, std::pair<String,String> > FEM::ElementVarKeys_t

ProbNameNumDim => (UvarKeys,FvarKeys) map.

typedef std::map<String, GeomElemMakerPtr> FEM::GeomElemFactory_t
typedef GeomElem*(* FEM::GeomElemMakerPtr)(int NDim)
typedef void(* FEM::pVTUfunc)(Vec3_t const &X, double Time, SDPair &KeysVals)

Callback to be called in WriteVTU.

typedef std::map<Node*,Array<double> > FEM::Res_t

Maps node to results at nodes.

typedef std::map<String, SolverMakerPtr> FEM::SolverFactory_t
typedef Solver*(* FEM::SolverMakerPtr)(Domain &Dom, SDPair const &Flags, Solver::pOutFun OutFun, void *OutDat, Solver::pOutFun DbgFun, void *DbgDat)
typedef std::map<int, Array<Element*> > FEM::Tag2Eles_t

Maps tag to elements.

Function Documentation

Element* FEM::AllocElement ( String const &  Name,
int  NDim,
Mesh::Cell const &  Cell,
Model const *  Mdl,
Model const *  XMdl,
SDPair const &  Prp,
SDPair const &  Ini,
Array< Node * > const &  Nodes 
)
GeomElem* FEM::AllocGeomElem ( String const &  Name,
int  NDim 
)
Solver* FEM::AllocSolver ( String const &  Name,
Domain &  Dom,
SDPair const &  Flags,
Solver::pOutFun  OutFun = NULL,
void *  OutDat = NULL,
Solver::pOutFun  DbgFun = NULL,
void *  DbgDat = NULL 
)
Element* FEM::BeamMaker ( int  NDim,
Mesh::Cell const &  Cell,
Model const *  Mdl,
Model const *  XMdl,
SDPair const &  Prp,
SDPair const &  Ini,
Array< Node * > const &  Nodes 
)
int FEM::BeamRegister ( )
Element* FEM::EquilibElemMaker ( int  NDim,
Mesh::Cell const &  Cell,
Model const *  Mdl,
Model const *  XMdl,
SDPair const &  Prp,
SDPair const &  Ini,
Array< Node * > const &  Nodes 
)
int FEM::EquilibElemRegister ( )
Element* FEM::FlowElemMaker ( int  NDim,
Mesh::Cell const &  Cell,
Model const *  Mdl,
Model const *  XMdl,
SDPair const &  Prp,
SDPair const &  Ini,
Array< Node * > const &  Nodes 
)
int FEM::FlowElemRegister ( )
GeomElem* FEM::Hex20Maker ( int  NDim)
int FEM::Hex20Register ( )
GeomElem* FEM::Hex8Maker ( int  NDim)
int FEM::Hex8Register ( )
Element* FEM::HydroMechElemMaker ( int  NDim,
Mesh::Cell const &  Cell,
Model const *  Mdl,
Model const *  XMdl,
SDPair const &  Prp,
SDPair const &  Ini,
Array< Node * > const &  Nodes 
)
int FEM::HydroMechElemRegister ( )
GeomElem* FEM::Lin2Maker ( int  NDim)
int FEM::Lin2Register ( )
Element* FEM::NLRodMaker ( int  NDim,
Mesh::Cell const &  Cell,
Model const *  Mdl,
Model const *  XMdl,
SDPair const &  Prp,
SDPair const &  Ini,
Array< Node * > const &  Nodes 
)
int FEM::NLRodRegister ( )
std::ostream& FEM::operator<< ( std::ostream &  os,
Domain const &  D 
)
std::ostream& FEM::operator<< ( std::ostream &  os,
Node const &  N 
)
std::ostream& FEM::operator<< ( std::ostream &  os,
Element const &  E 
)
GeomElem* FEM::Quad4Maker ( int  NDim)
int FEM::Quad4Register ( )
GeomElem* FEM::Quad8Maker ( int  NDim)
int FEM::Quad8Register ( )
Element* FEM::RodMaker ( int  NDim,
Mesh::Cell const &  Cell,
Model const *  Mdl,
Model const *  XMdl,
SDPair const &  Prp,
SDPair const &  Ini,
Array< Node * > const &  Nodes 
)
int FEM::RodRegister ( )
Solver* FEM::STDSolverMaker ( Domain &  Dom,
SDPair const &  Flags,
Solver::pOutFun  OutFun,
void *  OutDat,
Solver::pOutFun  DbgFun,
void *  DbgDat 
)
int FEM::STDSolverRegister ( )
GeomElem* FEM::Tet10Maker ( int  NDim)
int FEM::Tet10Register ( )
GeomElem* FEM::Tri15Maker ( int  NDim)
int FEM::Tri15Register ( )
GeomElem* FEM::Tri3Maker ( int  NDim)
int FEM::Tri3Register ( )
GeomElem* FEM::Tri6Maker ( int  NDim)
int FEM::Tri6Register ( )
Element* FEM::USigCondMaker ( int  NDim,
Mesh::Cell const &  Cell,
Model const *  Mdl,
Model const *  XMdl,
SDPair const &  Prp,
SDPair const &  Ini,
Array< Node * > const &  Nodes 
)
int FEM::USigCondRegister ( )
Element* FEM::USigElemMaker ( int  NDim,
Mesh::Cell const &  Cell,
Model const *  Mdl,
Model const *  XMdl,
SDPair const &  Prp,
SDPair const &  Ini,
Array< Node * > const &  Nodes 
)
int FEM::USigElemRegister ( )
Element* FEM::USigEpsElemMaker ( int  NDim,
Mesh::Cell const &  Cell,
Model const *  Mdl,
Model const *  XMdl,
SDPair const &  Prp,
SDPair const &  Ini,
Array< Node * > const &  Nodes 
)
int FEM::USigEpsElemRegister ( )
Element* FEM::UWPElemMaker ( int  NDim,
Mesh::Cell const &  Cell,
Model const *  Mdl,
Model const *  XMdl,
SDPair const &  Prp,
SDPair const &  Ini,
Array< Node * > const &  Nodes 
)
int FEM::UWPElemRegister ( )
Solver* FEM::UWPSolverMaker ( Domain &  Dom,
SDPair const &  Flags,
Solver::pOutFun  OutFun,
void *  OutDat,
Solver::pOutFun  DbgFun,
void *  DbgDat 
)
int FEM::UWPSolverRegister ( )

Variable Documentation

double FEM::__02r15 = 0.2*sqrt(15.0)
double FEM::__25d81 = 25.0/81.0
double FEM::__40d81 = 40.0/81.0
double FEM::__64d81 = 64.0/81.0
int FEM::__Beam_dummy_int = BeamRegister()
int FEM::__EquilibElem_dummy_int = EquilibElemRegister()
int FEM::__FlowElem_dummy_int = FlowElemRegister()
int FEM::__Hex20_dummy_int = Hex20Register()
int FEM::__Hex8_dummy_int = Hex8Register()
int FEM::__HydroMechElem_dummy_int = HydroMechElemRegister()
int FEM::__Lin2_dummy_int = Lin2Register()
int FEM::__NLRod_dummy_int = NLRodRegister()
int FEM::__Quad4_dummy_int = Quad4Register()
int FEM::__Quad8_dummy_int = Quad8Register()
int FEM::__Rod_dummy_int = RodRegister()
int FEM::__STDSolver_dummy_int = STDSolverRegister()
int FEM::__Tet10_dummy_int = Tet10Register()
int FEM::__Tri15_dummy_int = Tri15Register()
int FEM::__Tri3_dummy_int = Tri3Register()
int FEM::__Tri6_dummy_int = Tri6Register()
int FEM::__USigCond_dummy_int = USigCondRegister()
int FEM::__USigElem_dummy_int = USigElemRegister()
int FEM::__USigEpsElem_dummy_int = USigEpsElemRegister()
int FEM::__UWPElem_dummy_int = UWPElemRegister()
int FEM::__UWPSolver_dummy_int = UWPSolverRegister()
ElementExtraKeys_t FEM::ElementExtraKeys

Maps ProbNameNumDim to extra BC keys Ex.: "Equilib2D" => ["qn", "qt"].

ElementFactory_t FEM::ElementFactory
ElementVarKeys_t FEM::ElementVarKeys

Maps ProbNameNumDim to (UvarKeys,FvarKeys) Ex.: "Equilib2D" => ("ux uy","fx fy")

SDPair FEM::GEOM
GeomElemFactory_t FEM::GeomElemFactory
const IntegPoint FEM::HEX_IP2[]
Initial value:
{{   -0.577350269189626,    -0.577350269189626,    -0.577350269189626,     1.000000000000000  },
{     0.577350269189626,    -0.577350269189626,    -0.577350269189626,     1.000000000000000  },
{    -0.577350269189626,     0.577350269189626,    -0.577350269189626,     1.000000000000000  },
{     0.577350269189626,     0.577350269189626,    -0.577350269189626,     1.000000000000000  },
{    -0.577350269189626,    -0.577350269189626,     0.577350269189626,     1.000000000000000  },
{     0.577350269189626,    -0.577350269189626,     0.577350269189626,     1.000000000000000  },
{    -0.577350269189626,     0.577350269189626,     0.577350269189626,     1.000000000000000  },
{     0.577350269189626,     0.577350269189626,     0.577350269189626,     1.000000000000000 }}
const IntegPoint FEM::HEX_IP3[]
Initial value:
{{   -0.774596669241483,    -0.774596669241483,    -0.774596669241483,     0.171467764060357  },
{     0.000000000000000,    -0.774596669241483,    -0.774596669241483,     0.274348422496571  },
{     0.774596669241483,    -0.774596669241483,    -0.774596669241483,     0.171467764060357  },
{    -0.774596669241483,     0.000000000000000,    -0.774596669241483,     0.274348422496571  },
{     0.000000000000000,     0.000000000000000,    -0.774596669241483,     0.438957475994513  },
{     0.774596669241483,     0.000000000000000,    -0.774596669241483,     0.274348422496571  },
{    -0.774596669241483,     0.774596669241483,    -0.774596669241483,     0.171467764060357  },
{     0.000000000000000,     0.774596669241483,    -0.774596669241483,     0.274348422496571  },
{     0.774596669241483,     0.774596669241483,    -0.774596669241483,     0.171467764060357  },
{    -0.774596669241483,    -0.774596669241483,     0.000000000000000,     0.274348422496571  },
{     0.000000000000000,    -0.774596669241483,     0.000000000000000,     0.438957475994513  },
{     0.774596669241483,    -0.774596669241483,     0.000000000000000,     0.274348422496571  },
{    -0.774596669241483,     0.000000000000000,     0.000000000000000,     0.438957475994513  },
{     0.000000000000000,     0.000000000000000,     0.000000000000000,     0.702331961591221  },
{     0.774596669241483,     0.000000000000000,     0.000000000000000,     0.438957475994513  },
{    -0.774596669241483,     0.774596669241483,     0.000000000000000,     0.274348422496571  },
{     0.000000000000000,     0.774596669241483,     0.000000000000000,     0.438957475994513  },
{     0.774596669241483,     0.774596669241483,     0.000000000000000,     0.274348422496571  },
{    -0.774596669241483,    -0.774596669241483,     0.774596669241483,     0.171467764060357  },
{     0.000000000000000,    -0.774596669241483,     0.774596669241483,     0.274348422496571  },
{     0.774596669241483,    -0.774596669241483,     0.774596669241483,     0.171467764060357  },
{    -0.774596669241483,     0.000000000000000,     0.774596669241483,     0.274348422496571  },
{     0.000000000000000,     0.000000000000000,     0.774596669241483,     0.438957475994513  },
{     0.774596669241483,     0.000000000000000,     0.774596669241483,     0.274348422496571  },
{    -0.774596669241483,     0.774596669241483,     0.774596669241483,     0.171467764060357  },
{     0.000000000000000,     0.774596669241483,     0.774596669241483,     0.274348422496571  },
{     0.774596669241483,     0.774596669241483,     0.774596669241483,     0.171467764060357 }}
const IntegPoint FEM::HEX_IP4[]
const IntegPoint FEM::HEX_IP5[]
const IntegPoint FEM::LIN_IP2[]
Initial value:
 
{{ -0.577350269189625764509149e+00, 0.0, 0.0, 1.0  },
{   0.577350269189625764509149e+00, 0.0, 0.0, 1.0 }}
const IntegPoint FEM::LIN_IP3[]
Initial value:
 
{{-0.774596669241483377035835e+00, 0.0, 0.0, 0.555555555555555555555556e+00  },
{  0.000000000000000000000000e+00, 0.0, 0.0, 0.888888888888888888888889e+00  },
{  0.774596669241483377035835e+00, 0.0, 0.0, 0.555555555555555555555556e+00 }}
const IntegPoint FEM::LIN_IP4[]
Initial value:
 
{{ -0.861136311594052575223946e+00, 0.0, 0.0, 0.34785484513745385737306e+00  },
{  -0.339981043584856264802666e+00, 0.0, 0.0, 0.65214515486254614262694e+00  },
{   0.339981043584856264802666e+00, 0.0, 0.0, 0.65214515486254614262694e+00  },
{   0.861136311594052575223946e+00, 0.0, 0.0, 0.34785484513745385737306e+00 }}
const IntegPoint FEM::LIN_IP5[]
Initial value:
 
{{ -0.906179845938663992797627e+00, 0.0, 0.0, 0.23692688505618908751426e+00  },
{  -0.538469310105683091036314e+00, 0.0, 0.0, 0.47862867049936646804129e+00  },
{   0.000000000000000000000000e+00, 0.0, 0.0, 0.56888888888888888888889e+00  },
{   0.538469310105683091036314e+00, 0.0, 0.0, 0.47862867049936646804129e+00  },
{   0.906179845938663992797627e+00, 0.0, 0.0, 0.23692688505618908751426e+00 }}
SDPair FEM::PROB

Structure mapping the problem name to a unique double value. Ex.: "Equilib" => 1.0.

const IntegPoint FEM::QUAD_IP2[]
Initial value:
{{   -0.577350269189626,    -0.577350269189626,     0.000000000000000,     1.000000000000000  },
{     0.577350269189626,    -0.577350269189626,     0.000000000000000,     1.000000000000000  },
{    -0.577350269189626,     0.577350269189626,     0.000000000000000,     1.000000000000000  },
{     0.577350269189626,     0.577350269189626,     0.000000000000000,     1.000000000000000 }}
const IntegPoint FEM::QUAD_IP3[]
Initial value:
{{ -__02r15 , -__02r15 , 0.0 , __25d81  }, 
{       0.0 , -__02r15 , 0.0 , __40d81  }, 
{   __02r15 , -__02r15 , 0.0 , __25d81  }, 
{  -__02r15 ,      0.0 , 0.0 , __40d81  }, 
{       0.0 ,      0.0 , 0.0 , __64d81  }, 
{   __02r15 ,      0.0 , 0.0 , __40d81  }, 
{  -__02r15 ,  __02r15 , 0.0 , __25d81  }, 
{       0.0 ,  __02r15 , 0.0 , __40d81  }, 
{   __02r15 ,  __02r15 , 0.0 , __25d81 }}
const IntegPoint FEM::QUAD_IP4[]
Initial value:
{{   -0.861136311594053,    -0.861136311594053,     0.000000000000000,     0.121002993285602  },
{    -0.339981043584856,    -0.861136311594053,     0.000000000000000,     0.226851851851852  },
{     0.339981043584856,    -0.861136311594053,     0.000000000000000,     0.226851851851852  },
{     0.861136311594053,    -0.861136311594053,     0.000000000000000,     0.121002993285602  },
{    -0.861136311594053,    -0.339981043584856,     0.000000000000000,     0.226851851851852  },
{    -0.339981043584856,    -0.339981043584856,     0.000000000000000,     0.425293303010694  },
{     0.339981043584856,    -0.339981043584856,     0.000000000000000,     0.425293303010694  },
{     0.861136311594053,    -0.339981043584856,     0.000000000000000,     0.226851851851852  },
{    -0.861136311594053,     0.339981043584856,     0.000000000000000,     0.226851851851852  },
{    -0.339981043584856,     0.339981043584856,     0.000000000000000,     0.425293303010694  },
{     0.339981043584856,     0.339981043584856,     0.000000000000000,     0.425293303010694  },
{     0.861136311594053,     0.339981043584856,     0.000000000000000,     0.226851851851852  },
{    -0.861136311594053,     0.861136311594053,     0.000000000000000,     0.121002993285602  },
{    -0.339981043584856,     0.861136311594053,     0.000000000000000,     0.226851851851852  },
{     0.339981043584856,     0.861136311594053,     0.000000000000000,     0.226851851851852  },
{     0.861136311594053,     0.861136311594053,     0.000000000000000,     0.121002993285602 }}
const IntegPoint FEM::QUAD_IP5[]
Initial value:
{{   -0.906179845938664,    -0.906179845938664,     0.000000000000000,     0.056134348862429  },
{    -0.538469310105683,    -0.906179845938664,     0.000000000000000,     0.113400000000000  },
{     0.000000000000000,    -0.906179845938664,     0.000000000000000,     0.134785072387521  },
{     0.538469310105683,    -0.906179845938664,     0.000000000000000,     0.113400000000000  },
{     0.906179845938664,    -0.906179845938664,     0.000000000000000,     0.056134348862429  },
{    -0.906179845938664,    -0.538469310105683,     0.000000000000000,     0.113400000000000  },
{    -0.538469310105683,    -0.538469310105683,     0.000000000000000,     0.229085404223991  },
{     0.000000000000000,    -0.538469310105683,     0.000000000000000,     0.272286532550751  },
{     0.538469310105683,    -0.538469310105683,     0.000000000000000,     0.229085404223991  },
{     0.906179845938664,    -0.538469310105683,     0.000000000000000,     0.113400000000000  },
{    -0.906179845938664,     0.000000000000000,     0.000000000000000,     0.134785072387521  },
{    -0.538469310105683,     0.000000000000000,     0.000000000000000,     0.272286532550751  },
{     0.000000000000000,     0.000000000000000,     0.000000000000000,     0.323634567901235  },
{     0.538469310105683,     0.000000000000000,     0.000000000000000,     0.272286532550751  },
{     0.906179845938664,     0.000000000000000,     0.000000000000000,     0.134785072387521  },
{    -0.906179845938664,     0.538469310105683,     0.000000000000000,     0.113400000000000  },
{    -0.538469310105683,     0.538469310105683,     0.000000000000000,     0.229085404223991  },
{     0.000000000000000,     0.538469310105683,     0.000000000000000,     0.272286532550751  },
{     0.538469310105683,     0.538469310105683,     0.000000000000000,     0.229085404223991  },
{     0.906179845938664,     0.538469310105683,     0.000000000000000,     0.113400000000000  },
{    -0.906179845938664,     0.906179845938664,     0.000000000000000,     0.056134348862429  },
{    -0.538469310105683,     0.906179845938664,     0.000000000000000,     0.113400000000000  },
{     0.000000000000000,     0.906179845938664,     0.000000000000000,     0.134785072387521  },
{     0.538469310105683,     0.906179845938664,     0.000000000000000,     0.113400000000000  },
{     0.906179845938664,     0.906179845938664,     0.000000000000000,     0.056134348862429 }}
SolverFactory_t FEM::SolverFactory
const IntegPoint FEM::TET_IP4[]
Initial value:
{{ 0.5854101966249685, 0.1381966011250105, 0.1381966011250105, 0.04166666666666667 },
 { 0.1381966011250105, 0.5854101966249685, 0.1381966011250105, 0.04166666666666667 },
 { 0.1381966011250105, 0.1381966011250105, 0.5854101966249685, 0.04166666666666667 },
 { 0.1381966011250105, 0.1381966011250105, 0.1381966011250105, 0.04166666666666667 }}
const IntegPoint FEM::TRI_IP1[]
Initial value:
{{  1.0/3.0,  1.0/3.0,  0.0,  1.0/2.0 }}
const IntegPoint FEM::TRI_IP12[]
Initial value:
{{ 5.01426509658179E-01,  2.49286745170910E-01,  0.0,  5.83931378631895E-02 },
 { 2.49286745170910E-01,  5.01426509658179E-01,  0.0,  5.83931378631895E-02 },
 { 2.49286745170910E-01,  2.49286745170910E-01,  0.0,  5.83931378631895E-02 },
 { 8.73821971016996E-01,  6.30890144915020E-02,  0.0,  2.54224531851035E-02 },
 { 6.30890144915020E-02,  8.73821971016996E-01,  0.0,  2.54224531851035E-02 },
 { 6.30890144915020E-02,  6.30890144915020E-02,  0.0,  2.54224531851035E-02 },
 { 5.31450498448170E-02,  3.10352451033784E-01,  0.0,  4.14255378091870E-02 },
 { 6.36502499121399E-01,  5.31450498448170E-02,  0.0,  4.14255378091870E-02 },
 { 3.10352451033784E-01,  6.36502499121399E-01,  0.0,  4.14255378091870E-02 },
 { 5.31450498448170E-02,  6.36502499121399E-01,  0.0,  4.14255378091870E-02 },
 { 6.36502499121399E-01,  3.10352451033784E-01,  0.0,  4.14255378091870E-02 },
 { 3.10352451033784E-01,  5.31450498448170E-02,  0.0,  4.14255378091870E-02 }}
const IntegPoint FEM::TRI_IP13[]
Initial value:
{{  0.0651301029022,  0.0651301029022,    0.0,   0.0266736178044 },
{   0.8697397941956,  0.0651301029022,    0.0,   0.0266736178044 },
{   0.0651301029022,  0.8697397941956,    0.0,   0.0266736178044 },
{   0.3128654960049,  0.0486903154253,    0.0,   0.0385568804452 },
{   0.6384441885698,  0.3128654960049,    0.0,   0.0385568804452 },
{   0.0486903154253,  0.6384441885698,    0.0,   0.0385568804452 },
{   0.6384441885698,  0.0486903154253,    0.0,   0.0385568804452 },
{   0.3128654960049,  0.6384441885698,    0.0,   0.0385568804452 },
{   0.0486903154253,  0.0486903154253,    0.0,   0.0385568804452 },
{   0.2603459660790,  0.2603459660790,    0.0,   0.0878076287166 },
{   0.4793080678419,  0.2603459660790,    0.0,   0.0878076287166 },
{   0.2603459660790,  0.4793080678419,    0.0,   0.0878076287166 },
{   0.3333333333333,  0.3333333333333,    0.0,  -0.0747850222338 }}
const IntegPoint FEM::TRI_IP16[]
Initial value:
{{ 3.33333333333333E-01,  3.33333333333333E-01,  0.0,   7.21578038388935E-02 },
 { 8.14148234145540E-02,  4.59292588292723E-01,  0.0,   4.75458171336425E-02 },
 { 4.59292588292723E-01,  8.14148234145540E-02,  0.0,   4.75458171336425E-02 },
 { 4.59292588292723E-01,  4.59292588292723E-01,  0.0,   4.75458171336425E-02 },
 { 6.58861384496480E-01,  1.70569307751760E-01,  0.0,   5.16086852673590E-02 },
 { 1.70569307751760E-01,  6.58861384496480E-01,  0.0,   5.16086852673590E-02 },
 { 1.70569307751760E-01,  1.70569307751760E-01,  0.0,   5.16086852673590E-02 },
 { 8.98905543365938E-01,  5.05472283170310E-02,  0.0,   1.62292488115990E-02 },
 { 5.05472283170310E-02,  8.98905543365938E-01,  0.0,   1.62292488115990E-02 },
 { 5.05472283170310E-02,  5.05472283170310E-02,  0.0,   1.62292488115990E-02 },
 { 8.39477740995800E-03,  2.63112829634638E-01,  0.0,   1.36151570872175E-02 },
 { 7.28492392955404E-01,  8.39477740995800E-03,  0.0,   1.36151570872175E-02 },
 { 2.63112829634638E-01,  7.28492392955404E-01,  0.0,   1.36151570872175E-02 },
 { 8.39477740995800E-03,  7.28492392955404E-01,  0.0,   1.36151570872175E-02 },
 { 7.28492392955404E-01,  2.63112829634638E-01,  0.0,   1.36151570872175E-02 },
 { 2.63112829634638E-01,  8.39477740995800E-03,  0.0,   1.36151570872175E-02 }}
const IntegPoint FEM::TRI_IP25[]
Initial value:
{{ 3.33333333333333E-01,  3.33333333333333E-01,  0.0,   4.54089951913770E-02 },
 { 2.88447332326850E-02,  4.85577633383657E-01,  0.0,   1.83629788782335E-02 },
 { 4.85577633383657E-01,  2.88447332326850E-02,  0.0,   1.83629788782335E-02 },
 { 4.85577633383657E-01,  4.85577633383657E-01,  0.0,   1.83629788782335E-02 },
 { 7.81036849029926E-01,  1.09481575485037E-01,  0.0,   2.26605297177640E-02 },
 { 1.09481575485037E-01,  7.81036849029926E-01,  0.0,   2.26605297177640E-02 },
 { 1.09481575485037E-01,  1.09481575485037E-01,  0.0,   2.26605297177640E-02 },
 { 1.41707219414880E-01,  3.07939838764121E-01,  0.0,   3.63789584227100E-02 },
 { 5.50352941820999E-01,  1.41707219414880E-01,  0.0,   3.63789584227100E-02 },
 { 3.07939838764121E-01,  5.50352941820999E-01,  0.0,   3.63789584227100E-02 },
 { 1.41707219414880E-01,  5.50352941820999E-01,  0.0,   3.63789584227100E-02 },
 { 5.50352941820999E-01,  3.07939838764121E-01,  0.0,   3.63789584227100E-02 },
 { 3.07939838764121E-01,  1.41707219414880E-01,  0.0,   3.63789584227100E-02 },
 { 2.50035347626860E-02,  2.46672560639903E-01,  0.0,   1.41636212655285E-02 },
 { 7.28323904597411E-01,  2.50035347626860E-02,  0.0,   1.41636212655285E-02 },
 { 2.46672560639903E-01,  7.28323904597411E-01,  0.0,   1.41636212655285E-02 },
 { 2.50035347626860E-02,  7.28323904597411E-01,  0.0,   1.41636212655285E-02 },
 { 7.28323904597411E-01,  2.46672560639903E-01,  0.0,   1.41636212655285E-02 },
 { 2.46672560639903E-01,  2.50035347626860E-02,  0.0,   1.41636212655285E-02 },
 { 9.54081540029900E-03,  6.68032510122000E-02,  0.0,   4.71083348186650E-03 },
 { 9.23655933587500E-01,  9.54081540029900E-03,  0.0,   4.71083348186650E-03 },
 { 6.68032510122000E-02,  9.23655933587500E-01,  0.0,   4.71083348186650E-03 },
 { 9.54081540029900E-03,  9.23655933587500E-01,  0.0,   4.71083348186650E-03 },
 { 9.23655933587500E-01,  6.68032510122000E-02,  0.0,   4.71083348186650E-03 },
 { 6.68032510122000E-02,  9.54081540029900E-03,  0.0,   4.71083348186650E-03 }}
const IntegPoint FEM::TRI_IP3[]
Initial value:
{{  1.0/6.0,   1.0/6.0,   0.0,   1.0/6.0  },
{   2.0/3.0,   1.0/6.0,   0.0,   1.0/6.0  },
{   1.0/6.0,   2.0/3.0,   0.0,   1.0/6.0 }}
const IntegPoint FEM::TRI_IP4[]
Initial value:
{{ 1.0/3.0,   1.0/3.0,   0.0,   -27.0/96.0  },
{  1.0/5.0,   1.0/5.0,   0.0,    25.0/96.0  },
{  3.0/5.0,   1.0/5.0,   0.0,    25.0/96.0  },
{  1.0/5.0,   3.0/5.0,   0.0,    25.0/96.0 }}
const IntegPoint FEM::TRI_IP6[]
Initial value:
{{  0.091576213509771,   0.091576213509771,    0.0,    0.109951743655322/2.0 },
{   0.816847572980459,   0.091576213509771,    0.0,    0.109951743655322/2.0 },
{   0.091576213509771,   0.816847572980459,    0.0,    0.109951743655322/2.0 },
{   0.445948490915965,   0.445948490915965,    0.0,    0.223381589678011/2.0 },
{   0.108103018168070,   0.445948490915965,    0.0,    0.223381589678011/2.0 },
{   0.445948490915965,   0.108103018168070,    0.0,    0.223381589678011/2.0 }}
const IntegPoint FEM::TRI_IP7[]
Initial value:
{{  0.1012865073235,   0.1012865073235,   0.0,    0.0629695902724 },
{   0.7974269853531,   0.1012865073235,   0.0,    0.0629695902724 },
{   0.1012865073235,   0.7974269853531,   0.0,    0.0629695902724 },
{   0.4701420641051,   0.0597158717898,   0.0,    0.0661970763942 },
{   0.4701420641051,   0.4701420641051,   0.0,    0.0661970763942 },
{   0.0597158717898,   0.4701420641051,   0.0,    0.0661970763942 },
{   0.3333333333333,   0.3333333333333,   0.0,    0.1125000000000 }}
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