gsPde< T > Class Template Reference

Detailed Description

template<class T>
class gismo::gsPde< T >

Abstract class representing a PDE (partial differential equation).

This is the base class for PDEs, like the Poisson equation, Stokes equation or convection diffusion equation. The instances of these classes contains the problem description:

• the domain,
• the boundary conditions,
• coefficients
• rhs functions

The description of the discretization: methods to impose conditions or discrete spaces must be provided separately.

Inheritance diagram for gsPde< T >:

Collaboration diagram for gsPde< T >:

Public Member Functions
gsBoundaryConditions< T > &	boundaryConditions ()
	Returns a reference to the Pde boundary conditions.
GISMO_DEPRECATED short_t	dim () const
	returns the dimension of the domain
gsMultiPatch< T > &	domain ()
	Returns a reference to the Pde domain.
GISMO_DEPRECATED int	fieldDim (index_t field_id=0)
	gives the dimension of the i-th field it returns 1 for scalar fields, 2 for 2d vectors field etc.
	gsPde (const gsMultiPatch< T > &domain, const gsBoundaryConditions< T > &bc)
	Constructor without given exact solution.
virtual int	numRhs () const
	gives the number of rhs functions of the PDEs
int	numUnknowns () const
	Gives the number of unknown fields of the PDEs.
virtual std::ostream &	print (std::ostream &os) const =0
	Print a short description of the PDE.
virtual gsPde< T > *	restrictToPatch (unsigned) const
	restrictToPatch creats a new PDE object for a single patch np.
const gsVector< unsigned > &	unknownDim () const
	Gives the vector of dimensions of the unknowns.

Protected Attributes
gsBoundaryConditions< T >	m_boundary_conditions
	Boundary conditions.
gsMultiPatch< T >	m_domain
	Computational domain.
gsVector< unsigned >	m_unknownDim
	Description of the unknown fields: for each one the target dimension.

Member Function Documentation

boundaryConditions()

template<class T >

gsBoundaryConditions< T > & boundaryConditions ( )

inline

Returns a reference to the Pde boundary conditions.

There is also a const version returning a const reference.

domain()

template<class T >

gsMultiPatch< T > & domain ( )

inline

Returns a reference to the Pde domain.

There is also a const version returning a const reference.

fieldDim()

template<class T >

GISMO_DEPRECATED int fieldDim ( index_t  field_id = 0 )

inline

gives the dimension of the i-th field it returns 1 for scalar fields, 2 for 2d vectors field etc.

Parameters

field_id

the field index

restrictToPatch()

template<class T >

virtual gsPde< T > * restrictToPatch ( unsigned  ) const

inlinevirtual

restrictToPatch creats a new PDE object for a single patch np.

Parameters

np	the patch index

Returns

a pointer to an allocated gsPDE<T> object.

Reimplemented in gsPoissonPde< T >.