Documentation for Concepts 2.0

The asymptotic expansion model for Diffusion-Reaction equation. More...

#include "basics.hh"
#include "toolbox.hh"
#include "geometry.hh"
#include "space.hh"
#include "function.hh"
#include "operator/denseMatrix.hh"
#include "operator/sparseMatrix.hh"
#include "models/models.hh"
#include "hp1D/element.hh"
#include "hp1D/pSpaceL2.hh"
#include "hp2D.hh"

Include dependency graph for DiffReactAsympModel.hh:

Go to the source code of this file.

Classes
class	concepts::DiffReactAsympCollDelta_0< F, N, d >
class	concepts::DiffReactAsympCollDelta_1< F, N, d >
class	concepts::DiffReactAsympCollFormula< F >
class	concepts::DiffReactAsympCollGamma_0< F, N, d >
class	concepts::DiffReactAsympCollGamma_1< F, N, d >
class	concepts::DiffReactAsympCollModel< F, order, alpha, G >
class	concepts::DiffReactAsympCollModel< F, 0, 0, G >
class	concepts::DiffReactAsympCollModel< F, 0, 1, G >
class	concepts::DiffReactAsympCollModel< F, 0, 2, G >
class	concepts::DiffReactAsympCollModel< F, 1, 0, G >
class	concepts::DiffReactAsympCollModel< F, 1, 1, G >
class	concepts::DiffReactAsympCollModel< F, 1, 2, G >
class	concepts::DiffReactAsympCollModel< F, 2, 1, G >
class	concepts::DiffReactAsympCollModel< F, 3, 1, G >
class	concepts::DiffReactAsympCollModel_Alpha0_Order0and1< F, order, G >
class	concepts::DiffReactAsympCollModel_Alpha1_Order0and1< F, order, G >
class	concepts::DiffReactAsympCollModel_Alpha1_Order2plus< F, order, G >
class	concepts::DiffReactAsympCollModel_Alpha2_Order0< F, G >
class	concepts::DiffReactAsympCollModel_Alpha2_Order1plus< F, order, G >
class	concepts::DiffReactAsympCollModel_grad_U_alpha0and1< order, alpha, F >
	The (t,S)-gradient of the asymptotic expansion solution $\tilde{U}^{\varepsilon,N}_\mathrm{int}(t,S)$ in the interior of the sheet for asymptotics alpha = 0 and alpha = 1. More...
class	concepts::DiffReactAsympCollModel_grad_U_alpha2< order, F >
	The (t,S)-gradient of the asymptotic expansion solution $\tilde{U}^{\varepsilon,N}_\mathrm{int}(t,S)$ in the interior of the sheet for asymptotics alpha = 2. More...
class	concepts::DiffReactAsympCollModelgrad_U< order, alpha, F >
class	concepts::DiffReactAsympCollModelgrad_U< order, 0, F >
class	concepts::DiffReactAsympCollModelgrad_U< order, 1, F >
class	concepts::DiffReactAsympCollModelgrad_U< order, 2, F >
class	concepts::DiffReactAsympCollModelSol_Cont< order, alpha, F >
	Class for the solution of the asymptotic expansion of Diffusion-Reaction equation (collectively) for formulation which is continuous over the interface (only order 0 and 1). More...
class	concepts::DiffReactAsympCollModelSol_Discont< order, alpha, F >
	Class for the solution of the asymptotic expansion of Diffusion-Reaction equation (collectively) for formulation which is continuous over the interface (only order 1). More...
class	concepts::DiffReactAsympCollModelSolBase< F >
	Class for the solution of the asymptotic expansion of Diffusion-Reaction equation (collectively). More...
class	concepts::DiffReactAsympCollModelU< order, alpha, F >
class	concepts::DiffReactAsympCollModelU< order, 0, F >
class	concepts::DiffReactAsympCollModelU< order, 1, F >
class	concepts::DiffReactAsympCollModelU< order, 2, F >
class	concepts::DiffReactAsympCollModelU_alpha0and1< order, alpha, F >
	The asymptotic expansion solution $\tilde{U}^{\varepsilon,N}_\mathrm{int}(t,S)$ in the interior of the sheet for asymptotics alpha = 0 and alpha = 1. More...
class	concepts::DiffReactAsympCollModelU_alpha2< order, F >
	The asymptotic expansion solution $\tilde{U}^{\varepsilon,N}_\mathrm{int}(t,S)$ in the interior of the sheet for asymptotics alpha = 2. More...
class	concepts::DiffReactAsympModelBase< F >
	Base class for asymptotic expansion models of Diffusion-Reaction equation. More...
class	concepts::DiffReactAsympModelgrad_UBase< F >
	Base class for the (t,S)-gradient of the asymptotic expansion solution in the interior of the sheet. More...
class	concepts::DiffReactAsympModelKraehenbuehl< F, G >
class	concepts::DiffReactAsympModelOffset< order, F >
	Offset function of the asymptotic expansion of Diffusion-Reaction equation as formula over the elements of the 2D space. More...
class	concepts::DiffReactAsympModelSimpleVector< F >
	Vector of right hand side of the asymptotic expansion of Diffusion-Reaction equation as formula over the elements of the 2D space. More...
class	concepts::DiffReactAsympModelSol< F >
	Class for the solution of the asymptotic expansion of Diffusion-Reaction equation (iterativly). More...
class	concepts::DiffReactAsympModelSolBase< F >
	Base class for solutions of the asymptotic expansion of Diffusion-Reaction equation. More...
class	concepts::DiffReactAsympModelU< order, F >
	The asymptotic expansion solution $U^i_\mathrm{int}(t,S)$ in the interior of the sheet. More...
class	concepts::DiffReactAsympModelUBase< F >
	Base class for asymptotic expansion solution in the interior of the sheet. More...
class	concepts::DiffReactAsympModeluepsN< F >
	The asymptotic expansion solution $u^{\varepsilon,N}_\mathrm{int}(x)$ , evaluated on a FE mesh with elements in the sheet. More...
class	concepts::DiffReactAsympModelUepsN< F >
	The asymptotic expansion solution $U^{\varepsilon,N}_\mathrm{int}(t,s)$ in the interior of the sheet. More...
class	concepts::DiffReactAsympModeluepsN_grad< F >
	The gradient of the asymptotic expansion solution $u^{\varepsilon,N}_\mathrm{int}(x)$ , evaluated on a FE mesh with elements in the sheet. More...
class	concepts::DiffReactAsympModelVector< order, F >
	Vector of right hand side of the asymptotic expansion of Diffusion-Reaction equation as formula over the elements of the 2D space. More...
class	concepts::ElementFormulaTimesCurvature< F >
Namespaces
namespace	concepts
	Geometries and material constants for eddy current problems.
Functions
template<class F >
Real	concepts::diffReactAsympModelPowerLoss (Real c0, Space< Real > *spc, DiffReactAsympModelUepsN< F > &UepsN)
	Computes the power loss from the asymptotic expansion solution `u_int` of order `order` for a thin sheet of thickness `d`.
template<class F >
Real	concepts::diffReactAsympModelPowerLoss (Real c0, hp1D::Element< Real > &elm, DiffReactAsympModelUepsN< F > &UepsN)
	Computes the power loss from the asymptotic expansion solution `u_int` of order `order` for a thin element of thickness `d`.

Detailed Description

The asymptotic expansion model for Diffusion-Reaction equation.

Author:: Kersten Schmidt, 2008

Definition in file DiffReactAsympModel.hh.

Classes

Namespaces

Functions

Detailed Description