ConvergenceTable Class Reference

#include <deal.II/base/convergence_table.h>

Inheritance diagram for ConvergenceTable:

Public Types

Public Types inherited from TableHandler

Public Member Functions
	ConvergenceTable ()=default
void	evaluate_convergence_rates (const std::string &data_column_key, const std::string &reference_column_key, const RateMode rate_mode, const unsigned int dim=2)
void	evaluate_convergence_rates (const std::string &data_column_key, const RateMode rate_mode)
void	omit_column_from_convergence_rate_evaluation (const std::string &key)
void	evaluate_all_convergence_rates (const std::string &reference_column_key, const RateMode rate_mode)
void	evaluate_all_convergence_rates (const RateMode rate_mode)
Public Member Functions inherited from TableHandler
	TableHandler ()
void	declare_column (const std::string &key)
template<typename T >
void	add_value (const std::string &key, const T value)
void	start_new_row ()
void	set_auto_fill_mode (const bool state)
void	add_column_to_supercolumn (const std::string &key, const std::string &superkey)
void	set_column_order (const std::vector< std::string > &new_order)
void	set_precision (const std::string &key, const unsigned int precision)
void	set_scientific (const std::string &key, const bool scientific)
void	set_tex_caption (const std::string &key, const std::string &tex_caption)
void	set_tex_table_caption (const std::string &table_caption)
void	set_tex_table_label (const std::string &table_label)
void	set_tex_supercaption (const std::string &superkey, const std::string &tex_supercaption)
void	set_tex_format (const std::string &key, const std::string &format="c")
void	write_text (std::ostream &out, const TextOutputFormat format=table_with_headers) const
void	write_tex (std::ostream &file, const bool with_header=true) const
void	clear ()
void	clear_current_row ()
template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Static Public Member Functions
static::ExceptionBase &	ExcRateColumnAlreadyExists (std::string arg1)
Static Public Member Functions inherited from TableHandler
static::ExceptionBase &	ExcColumnNotExistent (std::string arg1)
static::ExceptionBase &	ExcSuperColumnNotExistent (std::string arg1)
static::ExceptionBase &	ExcColumnOrSuperColumnNotExistent (std::string arg1)
static::ExceptionBase &	ExcWrongNumberOfDataEntries (std::string arg1, int arg2, std::string arg3, int arg4)
static::ExceptionBase &	ExcUndefinedTexFormat (std::string arg1)

Additional Inherited Members
Protected Member Functions inherited from TableHandler
void	get_selected_columns (std::vector< std::string > &sel_columns) const
unsigned int	n_rows () const
Protected Attributes inherited from TableHandler
std::vector< std::string >	column_order
std::map< std::string, Column >	columns
std::map< std::string, std::vector< std::string > >	supercolumns
std::map< std::string, std::string >	tex_supercaptions
std::string	tex_table_caption
std::string	tex_table_label
bool	auto_fill_mode

Detailed Description

The ConvergenceTable class is an application to the TableHandler class and stores some convergence data, such as residuals of the cg-method, or some evaluated L²-errors of discrete solutions, etc, and evaluates convergence rates or orders.

The already implemented RateMode's are reduction_rate, where the convergence rate is the quotient of two following rows, and reduction_rate_log2, that evaluates the order of convergence. These standard evaluations are useful for global refinement, for local refinement this may not be an appropriate method, as the convergence rates should be set in relation to the number of cells or the number of DoFs. The implementations of these non-standard methods is left to a user.

The number of cells and the number of DoFs may be added to the table by calling e.g. add_value("n cells", n_cells). The table data is also added by calling add_value(). Before the output of the table the functions evaluate_convergence_rates() and evaluate_all_convergence_rates() may be called.

There are two possibilities of how to evaluate the convergence rates of multiple columns in the same RateMode.

1. call evaluate_convergence_rates() for all wanted columns
2. call omit_column_from_convergence_rate_evaluation() for all columns for which this evaluation is not desired and then evaluate_all_convergence_rates() to evaluate the convergence rates of all columns that have not been flagged for omission.

A detailed discussion of this class can also be found in the step-7 and step-13 example programs.

Author

Ralf Hartmann, 1999

Definition at line 63 of file convergence_table.h.

Member Enumeration Documentation

enum ConvergenceTable::RateMode

Rate in relation to the rows.

Enumerator
none	Do not do anything.
reduction_rate	Quotient of values in the previous row and in this row.
reduction_rate_log2	Logarithm of reduction_rate to the base 2 representing the order of convergence when halving the grid size, e.g. from h to h/2.

Definition at line 74 of file convergence_table.h.

Constructor & Destructor Documentation

ConvergenceTable::ConvergenceTable ( )

default

Constructor.

Member Function Documentation

void ConvergenceTable::evaluate_convergence_rates	(	const std::string &	data_column_key,
		const std::string &	reference_column_key,
		const RateMode	rate_mode,
		const unsigned int	dim = 2
	)

Evaluate the convergence rates of the data column data_column_key due to the RateMode in relation to the reference column reference_column_key. Be sure that the value types of the table entries of the data column and the reference data column is a number, i.e. double, float, (unsigned) int, and so on.

As this class has no information on the space dimension upon which the reference column vs. the value column is based upon, it needs to be passed as last argument to this method. The default dimension for the reference column is 2, which is appropriate for the number of cells in 2D. If you work in 3D, set the number to 3. If the reference column is \(1/h\), remember to set the dimension to 1 also when working in 3D to get correct rates.

The new rate column and the data column will be merged to a supercolumn. The tex caption of the supercolumn will be (by default) the same as the one of the data column. This may be changed by using the set_tex_supercaption (...) function of the base class TableHandler.

This method behaves in the following way:

If RateMode is reduction_rate, then the computed output is \( \frac{e_{n-1}/k_{n-1}}{e_n/k_n}, \) where \(k\) is the reference column (no dimension dependence!).

If RateMode is reduction_rate_log2, then the computed output is \( dim \frac{\log |e_{n-1}/e_{n}|}{\log |k_n/k_{n-1}|} \).

This is useful, for example, if we use as reference key the number of degrees of freedom or better, the number of cells. Assuming that the error is proportional to \( C (1/\sqrt{k})^r \) in 2D, then this method will produce the rate \(r\) as a result. For general dimension, as described by the last parameter of this function, the formula needs to be \( C (1/\sqrt[dim]{k})^r \).

Note

Since this function adds columns to the table after several rows have already been filled, it switches off the auto fill mode of the TableHandler base class. If you intend to add further data with auto fill, you will have to re-enable it after calling this function.

Definition at line 23 of file convergence_table.cc.

void ConvergenceTable::evaluate_convergence_rates	(	const std::string &	data_column_key,
		const RateMode	rate_mode
	)

Evaluate the convergence rates of the data column data_column_key due to the RateMode. Be sure that the value types of the table entries of the data column is a number, i.e. double, float, (unsigned) int, and so on.

The new rate column and the data column will be merged to a supercolumn. The tex caption of the supercolumn will be (by default) the same as the one of the data column. This may be changed by using the set_tex_supercaption() function of the base class TableHandler.

Note

Since this function adds columns to the table after several rows have already been filled, it switches off the auto fill mode of the TableHandler base class. If you intend to add further data with auto fill, you will have to re-enable it after calling this function.

Definition at line 127 of file convergence_table.cc.

void ConvergenceTable::omit_column_from_convergence_rate_evaluation

(

const std::string &

key

)

Omit this column key (not supercolumn!) from the evaluation of the convergence rates of `all' columns (see the following two functions).

The Column::flag==1 is reserved for omitting the column from convergence rate evaluation.

Definition at line 218 of file convergence_table.cc.

void ConvergenceTable::evaluate_all_convergence_rates	(	const std::string &	reference_column_key,
		const RateMode	rate_mode
	)

Evaluate convergence rates due to the rate_mode in relation to the reference column reference_column_key. This function evaluates the rates of ALL columns except of the columns that are to be omitted (see previous function) and except of the columns that are previously evaluated rate columns. This function allows to evaluate the convergence rate for almost all columns of a table without calling evaluate_convergence_rates() for each column separately.

Example: Columns like n cells or n dofs columns may be wanted to be omitted in the evaluation of the convergence rates. Hence they should omitted by calling the omit_column_from_convergence_rate_evaluation().

Definition at line 230 of file convergence_table.cc.

void ConvergenceTable::evaluate_all_convergence_rates

(

const RateMode

rate_mode

)

Evaluate convergence rates due to the rate_mode. This function evaluates the rates of ALL columns except of the columns that are to be omitted (see previous function) and except of the columns that are previously evaluated rate columns. This function allows to evaluate the convergence rate for almost all columns of a table without calling evaluate_convergence_rates() for each column separately.

Example: Columns like n cells or n dofs columns may be wanted to be omitted in the evaluation of the convergence rates. Hence they should omitted by calling the omit_column_from_convergence_rate_evaluation().

Definition at line 246 of file convergence_table.cc.

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

• deal.II/base/convergence_table.h
• /mnt/data/darndt/Sources/dealii-clang-6.0.0/source/base/convergence_table.cc