Class for the solution of the asymptotic expansion of Diffusion-Reaction equation (collectively). More...

#include <DiffReactAsympModel.hh>

Inheritance diagram for concepts::DiffReactAsympCollModelSolBase< F >:

Collaboration diagram for concepts::DiffReactAsympCollModelSolBase< F >:

Public Member Functions
F	c0 () const
	DiffReactAsympCollModelSolBase (const F c0, const Real eps, const BoundaryConditions *bc=0)
	Constructor with given boundary conditions.
Space< Real > *	dnu_Space () const
	Returns the space for Lagrange multiplier.
void	dnu_Space (Space< Real > &dnu_spc)
const Real	eps () const
	Return the thickness parameter.
const ElementFormula< Point< F, 2 > > *	grad (const uint i) const
	Returns the gradient of the solution (FEM solution + offset function) as an formula over the elements of the 2D space.
ElementFormula< Point< F, 2 > > *	grad_U (const uint i) const
	Returns the (t,S)-gradient of solution in the interior.
ElementFormula< F > *	meandnu (const uint i) const
	Returns the mean value of the Neumann trace (FEM solution + offset function) as an formula over the elements on the trace space.
ElementFormula< F > *	meandnuDeriv () const
const ElementFormula< F > *	offset (const uint i) const
	Returns the offset function as a formula over the element of the 2D space.
const ElementFormula< Point< F, 2 > > *	offset_grad (const uint i) const
	Returns the gradient of the offset function as a formula over the element of the 2D space.
const ElementFormula< F > *	operator() (const uint i) const
	Returns the solution (FEM solution + offset function) as an formula over the elements of the 2D space.
virtual void	set (const Vector< F > &u)=0
	Set the solution vector.
const ElementFormula< F > *	source (const uint i) const
	Returns the source as a formula over the element of the 2D space.
Space< Real > *	space () const
	Returns the trace space.
void	space (Space< Real > &spc)
	Sets the trace space.
ElementFormula< F > *	trace (const uint i) const
	Returns the Dirichlet trace (FEM solution + offset function) as an formula over the elements on the trace space.
ElementFormula< F > *	traceDeriv (const uint i) const
	Returns the derivative of Dirichlet trace (FEM solution + offset function) as an formula over the elements on the trace space.
hp2D::TraceSpace *	traceSpace () const
	Returns the trace space.
void	traceSpace (hp2D::TraceSpace &tspc)
	Sets the trace space.
ElementFormula< F > *	U (const uint i) const
	Returns the solution in the interior (in (t,S) coordinates)
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Protected Attributes
const F	c0_
	Relative conductivity.
Space< Real > *	dnu_spc_
	Space for Lagrange multiplier.
const Real	eps_
	Thickness parameter.
concepts::Sequence < ElementFormula< Point< F, 2 > > * >	grad_U_
concepts::Sequence < ElementFormula< F > * >	meandnu_
std::auto_ptr< ElementFormula < F > >	meandnuDeriv_
std::auto_ptr< ElementFormula < F > >	source_
Space< Real > *	spc_
	Space in 2D.
hp2D::TraceSpace *	tspc_
	Trace space.
concepts::Sequence < ElementFormula< F > * >	U_
concepts::Sequence < ElementFormula< F > * >	u_
std::auto_ptr< ElementFormula < Real > >	u_bc_
concepts::Sequence < ElementFormula< Point< F, 2 > > * >	u_grad_
concepts::Sequence < ElementFormula< F > * >	uhat_
concepts::Sequence < ElementFormula< Point< F, 2 > > * >	uhat_grad_
concepts::Sequence < ElementFormula< F > * >	ut_
concepts::Sequence < ElementFormula< F > * >	ut_t_
concepts::Sequence < ElementFormula< Real > * >	utilde_
concepts::Sequence < ElementFormula< Real2d > * >	utilde_grad_
concepts::Sequence< Vector< F > * >	utvec_
concepts::Sequence< Vector< F > * >	uvec_

Detailed Description

template<class F = Real>
class concepts::DiffReactAsympCollModelSolBase< F >

Class for the solution of the asymptotic expansion of Diffusion-Reaction equation (collectively).

Author:: Kersten Schmidt, 2008

Definition at line 214 of file DiffReactAsympModel.hh.

Constructor & Destructor Documentation

template<class F = Real>

concepts::DiffReactAsympCollModelSolBase< F >::DiffReactAsympCollModelSolBase	(	const F	c0,
		const Real	eps,
		const BoundaryConditions *	bc = `0`
	)

Constructor with given boundary conditions.

Member Function Documentation

template<class F = Real>

F concepts::DiffReactAsympModelSolBase< F >::c0 ( ) const [inline, inherited]

Definition at line 134 of file DiffReactAsympModel.hh.

template<class F = Real>

Space<Real>* concepts::DiffReactAsympCollModelSolBase< F >::dnu_Space ( ) const [inline]

Returns the space for Lagrange multiplier.

Definition at line 232 of file DiffReactAsympModel.hh.

template<class F = Real>

void concepts::DiffReactAsympCollModelSolBase< F >::dnu_Space ( Space< Real > & dnu_spc ) [inline]

Definition at line 236 of file DiffReactAsympModel.hh.

template<class F = Real>

const Real concepts::DiffReactAsympCollModelSolBase< F >::eps ( ) const [inline]

Return the thickness parameter.

Definition at line 221 of file DiffReactAsympModel.hh.

template<class F = Real>

const ElementFormula<Point<F,2> >* concepts::DiffReactAsympModelSolBase< F >::grad ( const uint i ) const [inherited]

Returns the gradient of the solution (FEM solution + offset function) as an formula over the elements of the 2D space.

Parameters:

i	order of the model

template<class F = Real>

ElementFormula<Point<F,2> >* concepts::DiffReactAsympModelSolBase< F >::grad_U ( const uint i ) const [inherited]

Returns the (t,S)-gradient of solution in the interior.

Parameters:

i	order of the model

template<class F = Real>

virtual std::ostream& concepts::DiffReactAsympCollModelSolBase< F >::info ( std::ostream & os ) const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::DiffReactAsympModelSolBase< F >.

Reimplemented in concepts::DiffReactAsympCollModelSol_Cont< order, alpha, F >, and concepts::DiffReactAsympCollModelSol_Discont< order, alpha, F >.

template<class F = Real>

ElementFormula<F>* concepts::DiffReactAsympModelSolBase< F >::meandnu ( const uint i ) const [inherited]

Returns the mean value of the Neumann trace (FEM solution + offset function) as an formula over the elements on the trace space.

Parameters:

i	order of the model

template<class F = Real>

ElementFormula<F>* concepts::DiffReactAsympCollModelSolBase< F >::meandnuDeriv ( ) const [inline]

Definition at line 223 of file DiffReactAsympModel.hh.

template<class F = Real>

const ElementFormula<F>* concepts::DiffReactAsympModelSolBase< F >::offset ( const uint i ) const [inherited]

Returns the offset function as a formula over the element of the 2D space.

Parameters:

i	order of the model

template<class F = Real>

const ElementFormula<Point<F,2> >* concepts::DiffReactAsympModelSolBase< F >::offset_grad ( const uint i ) const [inherited]

Returns the gradient of the offset function as a formula over the element of the 2D space.

Parameters:

i	order of the model

template<class F = Real>

const ElementFormula<F>* concepts::DiffReactAsympModelSolBase< F >::operator() ( const uint i ) const [inherited]

Returns the solution (FEM solution + offset function) as an formula over the elements of the 2D space.

Parameters:

i	order of the model

template<class F = Real>

virtual void concepts::DiffReactAsympCollModelSolBase< F >::set ( const Vector< F > & u ) [pure virtual]

Set the solution vector.

Implemented in concepts::DiffReactAsympCollModelSol_Cont< order, alpha, F >, and concepts::DiffReactAsympCollModelSol_Discont< order, alpha, F >.

template<class F = Real>

const ElementFormula<F>* concepts::DiffReactAsympModelSolBase< F >::source ( const uint i ) const [inherited]

Returns the source as a formula over the element of the 2D space.

Parameters:

i	order of the model

template<class F = Real>

Space<Real>* concepts::DiffReactAsympModelSolBase< F >::space ( ) const [inline, inherited]

Returns the trace space.

Definition at line 119 of file DiffReactAsympModel.hh.

template<class F = Real>

void concepts::DiffReactAsympModelSolBase< F >::space ( Space< Real > & spc ) [inline, inherited]

Sets the trace space.

Definition at line 130 of file DiffReactAsympModel.hh.

template<class F = Real>

ElementFormula<F>* concepts::DiffReactAsympModelSolBase< F >::trace ( const uint i ) const [inherited]

Returns the Dirichlet trace (FEM solution + offset function) as an formula over the elements on the trace space.

Parameters:

i	order of the model

template<class F = Real>

ElementFormula<F>* concepts::DiffReactAsympModelSolBase< F >::traceDeriv ( const uint i ) const [inherited]

Returns the derivative of Dirichlet trace (FEM solution + offset function) as an formula over the elements on the trace space.

Parameters:

i	order of the model

template<class F = Real>

void concepts::DiffReactAsympModelSolBase< F >::traceSpace ( hp2D::TraceSpace & tspc ) [inline, inherited]

Sets the trace space.

Definition at line 132 of file DiffReactAsympModel.hh.

template<class F = Real>

hp2D::TraceSpace* concepts::DiffReactAsympModelSolBase< F >::traceSpace ( ) const [inline, inherited]

Returns the trace space.

Definition at line 125 of file DiffReactAsympModel.hh.

template<class F = Real>

ElementFormula<F>* concepts::DiffReactAsympModelSolBase< F >::U ( const uint i ) const [inherited]

Returns the solution in the interior (in (t,S) coordinates)

Parameters:

i	order of the model

Member Data Documentation

template<class F = Real>

const F concepts::DiffReactAsympModelSolBase< F >::c0_ [protected, inherited]

Relative conductivity.

Definition at line 138 of file DiffReactAsympModel.hh.

template<class F = Real>

Space<Real>* concepts::DiffReactAsympCollModelSolBase< F >::dnu_spc_ [protected]

Space for Lagrange multiplier.

Definition at line 243 of file DiffReactAsympModel.hh.

template<class F = Real>

const Real concepts::DiffReactAsympCollModelSolBase< F >::eps_ [protected]

Thickness parameter.

Definition at line 240 of file DiffReactAsympModel.hh.

template<class F = Real>

concepts::Sequence<ElementFormula<Point<F,2> >*> concepts::DiffReactAsympModelSolBase< F >::grad_U_ [protected, inherited]

Definition at line 174 of file DiffReactAsympModel.hh.

template<class F = Real>

concepts::Sequence<ElementFormula<F>*> concepts::DiffReactAsympModelSolBase< F >::meandnu_ [protected, inherited]

Definition at line 168 of file DiffReactAsympModel.hh.

template<class F = Real>

std::auto_ptr<ElementFormula<F> > concepts::DiffReactAsympCollModelSolBase< F >::meandnuDeriv_ [protected]

Definition at line 241 of file DiffReactAsympModel.hh.

template<class F = Real>

std::auto_ptr<ElementFormula<F> > concepts::DiffReactAsympModelSolBase< F >::source_ [protected, inherited]

Definition at line 154 of file DiffReactAsympModel.hh.

template<class F = Real>

Space<Real>* concepts::DiffReactAsympModelSolBase< F >::spc_ [protected, inherited]

Space in 2D.

Definition at line 142 of file DiffReactAsympModel.hh.

template<class F = Real>

hp2D::TraceSpace* concepts::DiffReactAsympModelSolBase< F >::tspc_ [protected, inherited]

Trace space.

Definition at line 144 of file DiffReactAsympModel.hh.

template<class F = Real>

concepts::Sequence<ElementFormula<F>*> concepts::DiffReactAsympModelSolBase< F >::U_ [protected, inherited]

Definition at line 171 of file DiffReactAsympModel.hh.

template<class F = Real>

concepts::Sequence<ElementFormula<F>*> concepts::DiffReactAsympModelSolBase< F >::u_ [protected, inherited]

Definition at line 160 of file DiffReactAsympModel.hh.

template<class F = Real>

std::auto_ptr<ElementFormula<Real> > concepts::DiffReactAsympModelSolBase< F >::u_bc_ [protected, inherited]

Definition at line 140 of file DiffReactAsympModel.hh.

template<class F = Real>

concepts::Sequence<ElementFormula<Point<F,2> >*> concepts::DiffReactAsympModelSolBase< F >::u_grad_ [protected, inherited]

Definition at line 162 of file DiffReactAsympModel.hh.

template<class F = Real>

concepts::Sequence<ElementFormula<F>*> concepts::DiffReactAsympModelSolBase< F >::uhat_ [protected, inherited]

Definition at line 156 of file DiffReactAsympModel.hh.

template<class F = Real>

concepts::Sequence<ElementFormula<Point<F,2> >*> concepts::DiffReactAsympModelSolBase< F >::uhat_grad_ [protected, inherited]

Definition at line 158 of file DiffReactAsympModel.hh.

template<class F = Real>

concepts::Sequence<ElementFormula<F>*> concepts::DiffReactAsympModelSolBase< F >::ut_ [protected, inherited]

Definition at line 164 of file DiffReactAsympModel.hh.

template<class F = Real>

concepts::Sequence<ElementFormula<F>*> concepts::DiffReactAsympModelSolBase< F >::ut_t_ [protected, inherited]

Definition at line 166 of file DiffReactAsympModel.hh.

template<class F = Real>

concepts::Sequence<ElementFormula<Real>*> concepts::DiffReactAsympModelSolBase< F >::utilde_ [protected, inherited]

Definition at line 150 of file DiffReactAsympModel.hh.

template<class F = Real>

concepts::Sequence<ElementFormula<Real2d>*> concepts::DiffReactAsympModelSolBase< F >::utilde_grad_ [protected, inherited]

Definition at line 152 of file DiffReactAsympModel.hh.

template<class F = Real>

concepts::Sequence<Vector<F>*> concepts::DiffReactAsympModelSolBase< F >::utvec_ [protected, inherited]

Definition at line 148 of file DiffReactAsympModel.hh.

template<class F = Real>

concepts::Sequence<Vector<F>*> concepts::DiffReactAsympModelSolBase< F >::uvec_ [protected, inherited]

Definition at line 146 of file DiffReactAsympModel.hh.

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

app-kersten/ThinSheet/DiffReactAsympModel.hh

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

template<class F = Real> class concepts::DiffReactAsympCollModelSolBase< F >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class F = Real>
class concepts::DiffReactAsympCollModelSolBase< F >