Reference documentation for deal.II version 8.1.0
Namespaces | Classes | Enumerations
Numerical algorithms

Namespaces

 VectorTools
 
 MatrixCreator
 
 MatrixTools
 

Classes

class  DerivativeApproximation
 
class  DerivativeApproximation::DerivativeSelector< 3, dim >
 
class  DerivativeApproximation::DerivativeSelector< 2, dim >
 
class  DerivativeApproximation::DerivativeSelector< 1, dim >
 
class  DerivativeApproximation::DerivativeSelector< order, dim >
 
class  DerivativeApproximation::ThirdDerivative< dim >
 
class  DerivativeApproximation::SecondDerivative< dim >
 
class  DerivativeApproximation::Gradient< dim >
 
class  SolutionTransfer< dim, VECTOR, DH >
 
struct  SolutionTransfer< dim, VECTOR, DH >::Pointerstruct
 
class  KellyErrorEstimator< dim, spacedim >
 

Enumerations

enum  VectorTools::NormType {
  VectorTools::mean, VectorTools::L1_norm, VectorTools::L2_norm, VectorTools::Lp_norm,
  VectorTools::Linfty_norm, VectorTools::H1_seminorm, VectorTools::H1_norm, VectorTools::W1p_seminorm,
  VectorTools::W1p_norm, VectorTools::W1infty_seminorm, VectorTools::W1infty_norm
}
 
enum  SolutionTransfer< dim, VECTOR, DH >::PreparationState { none, pure_refinement, coarsening_and_refinement }
 

Detailed Description

This module groups a diverse set of classes that generally implement some sort of numerical algorithm on top all the basic triangulation, DoFHandler, and finite element classes in the library. They are generally unconnected to each other.

Some of the classes, like DerivativeApproximation, KellyErrorEstimator and SolutionTransfer, act on solutions already obtained, and compute derived quantities in the first two cases, or help transferring a set of vectors from one mesh to another.

The remaining classes MatrixCreator, MatrixTools, and VectorTools provide an assortment of services, such as creating a Laplac matrix, projecting or interpolating a function onto the present finite element space, etc. The difference to the functions in the DoFTools and FETools functions is that they work on vectors (i.e. members of a finite element function space on a given triangulation) or help in the creation of it. On the other hand, the DoFTools functions only act on a given DoFHandler object without reference to a data vector, and the FETools objects generally work with finite element classes but again without any associated data vectors.

Enumeration Type Documentation

Denote which norm/integral is to be computed by the integrate_difference() function of this class. The following possibilities are implemented:

Enumerator
mean 

The function or difference of functions is integrated on each cell.

L1_norm 

The absolute value of the function is integrated.

L2_norm 

The square of the function is integrated and the the square root of the result is computed on each cell.

Lp_norm 

The absolute value to the pth power is integrated and the pth root is computed on each cell. The exponent p is the last parameter of the function.

Linfty_norm 

The maximum absolute value of the function.

H1_seminorm 

L2_norm of the gradient.

H1_norm 

The square of this norm is the square of the L2_norm plus the square of the H1_seminorm.

W1p_seminorm 

Lp_norm of the gradient.

W1p_norm 

same as H1_norm for Lp.

W1infty_seminorm 

Linfty_norm of the gradient.

W1infty_norm 

same as H1_norm for Linfty.

Definition at line 348 of file vector_tools.h.

template<int dim, typename VECTOR = Vector<double>, class DH = DoFHandler<dim>>
enum SolutionTransfer::PreparationState
private

Declaration of PreparationState that denotes the three possible states of the SolutionTransfer: being prepared for 'pure refinement', prepared for 'coarsening and refinement' or not prepared.

Definition at line 398 of file solution_transfer.h.