Laplacian equation with instationnary term solver using continuous approximation spaces solve on
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Dim | the geometric dimension of the problem = 2 |
Public Types | |
typedef bases< Lagrange< Order, Scalar > > | basis_type |
the basis type of our approximation space | |
typedef boost::shared_ptr < bdf_type > | bdf_ptrtype |
typedef Bdf< space_type > | bdf_type |
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 < error_type > | error_ptrtype |
typedef ErrorBase< Dim, Order > | error_type |
typedef boost::shared_ptr < export_type > | export_ptrtype |
the exporter factory (shared_ptr<> type) | |
typedef Exporter< mesh_type > | export_type |
the exporter factory type | |
typedef boost::shared_ptr < mesh_type > | mesh_ptrtype |
mesh shared_ptr<> type | |
typedef Mesh< convex_type > | mesh_type |
mesh 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 | |
Laplacian_parabolic () | |
void | run () |
Function to compute the equation and find the unknown. More... | |
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Simget () | |
virtual | ~Simget () |
destructor | |
Simget & | operator= (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 | |
virtual void | run (const double *X, unsigned long P, double *Y, unsigned long N) |
void | print (std::ostream &out, std::vector< ptree::ptree > &stats) |
Additional Inherited Members | |
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Simget & | changeRepository (boost::format fmt) |
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int | M_level |
double | M_meshSize |
double | M_meshSizeInit |
ptree::ptree | M_stats |
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inline |
Constructor
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virtual |
Function to compute the equation and find the unknown.
Loading variables from cfg file
Creation of a new mesh depending on the information of the geofile
The function space and some associated elements (functions) are then defined
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Add extra parameters ( t for example )
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Initializing u, g and f from initial temperature expression
BDF implementation
create the matrix that will hold the algebraic representation of the left hand side (only stationnary terms)
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assemble $ u v$
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weak dirichlet conditions treatment for the boundaries marked 1 and 3
assemble $ u^{n+1} v$
add temporal term to the lhs and the rhs
add time depending terms for the left hand side
strong(algebraic) dirichlet conditions treatment for the boundaries marked 1 and 3
solve the system
Computing L2 and H1 error
save the results
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Implements Feel::Simget.
References Feel::elements(), Feel::integrate(), Feel::markedfaces(), and Feel::project().