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Finite Element Embedded Library and Language in C++
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LShape< Dim > Class Template Reference

Detailed Description

template<int Dim>
class LShape< Dim >

LShape Solver using continuous approximation spaces solve $ -\Delta u = f$ on $\Omega$ and $u= g$ on $\Gamma$

Template Parameters
Dimthe geometric dimension of the problem (e.g. Dim=1, 2 or 3)
+ Inheritance diagram for LShape< Dim >:

Public Types

typedef bases< Lagrange< Order,
Scalar > > 
basis_type
 the basis type of our approximation space
 
typedef Simplex< Dim > convex_type
 geometry entities type composing the mesh, here Simplex in Dimension Dim of Order 1
 
typedef space_type::element_type element_type
 an element type of the approximation function space
 
typedef boost::shared_ptr
< export_type
export_ptrtype
 the exporter factory (shared_ptr<> type)
 
typedef Exporter< mesh_typeexport_type
 the exporter factory type
 
typedef boost::shared_ptr
< mesh_type
mesh_ptrtype
 mesh shared_ptr<> type
 
typedef Mesh< convex_typemesh_type
 mesh type
 
typedef MeshAdaptation< Dim,
Order, GOrder
MeshAdapt
 
typedef bases< Lagrange
< 0, Scalar, Discontinuous > > 
p0_basis_type
 Scalar P0 space.
 
typedef p0_space_type::element_type p0_element_type
 
typedef boost::shared_ptr
< p0_space_type
p0_space_ptrtype
 
typedef FunctionSpace
< mesh_type, p0_basis_type
p0_space_type
 
typedef bases< Lagrange
< 1, Vectorial > > 
p1vec_basis_type
 Vectorial P1 space.
 
typedef boost::shared_ptr
< p1vec_space_type
p1vec_space_ptrtype
 
typedef FunctionSpace
< mesh_type, p1vec_basis_type
p1vec_space_type
 
typedef boost::shared_ptr
< space_type
space_ptrtype
 the approximation function space type (shared_ptr<> type)
 
typedef FunctionSpace
< mesh_type, basis_type
space_type
 the approximation function space type
 
typedef double value_type
 numerical type is double
 

Public Member Functions

gmsh_ptrtype createLShapeGeo (double meshSize, double Lx, double Ly, double Lz)
 
 LShape ()
 
void run ()
 
void run (const double *X, unsigned long P, double *Y, unsigned long N)
 
boost::tuple< double, double,
p0_element_type > 
zz_estimator (const element_type &U, const mesh_ptrtype &mesh)
 
- Public Member Functions inherited from Feel::Simget
 Simget ()
 
virtual ~Simget ()
 destructor
 
Simgetoperator= (Simget const &o)
 copy operator
 
virtual std::string name () const
 return the name of the simget
 
mpi::communicator comm () const
 
po::variables_map const & vm () const
 
AboutData const & about () const
 
double meshSize () const
 return the mesh size
 
double meshSizeInit () const
 return the mesh size
 
int level () const
 return the refinement level
 
ptree::ptree const & stats () const
 return the statistics associated to the simget after calling run
 
ptree::ptree & stats ()
 return the statistics associated to the simget after calling run
 
void setMeshSize (double h)
 set the mesh size
 
void setMeshSizeInit (double h)
 set the initial mesh size
 
void setLevel (int level)
 set the refinment level if applicable
 
void print (std::ostream &out, std::vector< ptree::ptree > &stats)
 

Static Public Attributes

static const uint16_type GOrder = 1
 Geometrical order.
 
static const uint16_type Order = 2
 Polynomial order $P_2$.
 

Additional Inherited Members

- Protected Member Functions inherited from Feel::Simget
SimgetchangeRepository (boost::format fmt)
 
- Protected Attributes inherited from Feel::Simget
int M_level
 
double M_meshSize
 
double M_meshSizeInit
 
ptree::ptree M_stats
 

Constructor & Destructor Documentation

template<int Dim>
LShape< Dim >::LShape ( )
inline

Constructor

Member Function Documentation

template<int Dim>
void LShape< Dim >::run ( )
virtual

simply execute the simget

Implements Feel::Simget.

template<int Dim>
void LShape< Dim >::run ( const double *  X,
unsigned long  P,
double *  Y,
unsigned long  N 
)
virtual

models the input/output relation $ Y=F(X) $

Set dimensions of Lshape geometry

Resolve - u = 1 on , with u = 0 on

Define right hand side :

Weak Dirichlet boundary conditions treatment :

Define left hand side

Weak Dirichlet boundary conditions treatment :

Solve the system

Exportation of results

Make a pause between two adaptations : testing purpose

update mesh_eps

Reimplemented from Feel::Simget.

References Feel::Backend< T >::build(), Feel::elements(), Feel::integrate(), and Feel::markedfaces().


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

Generated on Sun Oct 20 2013 08:25:06 for Feel++ by doxygen 1.8.4