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// $Id: convergence_table.h 30036 2013-07-18 16:55:32Z maier $
//
// Copyright (C) 1999 - 2013 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------
#ifndef __deal2__convergence_table_h
#define __deal2__convergence_table_h
#include <deal.II/base/config.h>
#include <deal.II/base/table_handler.h>
DEAL_II_NAMESPACE_OPEN
/**
* 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 <i>L<sup>2</sup></i>-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. <tt>add_value("n cells", n_cells)</tt>. 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.
* <ol>
* <li> call evaluate_convergence_rates() for all wanted columns
* <li> 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.
* </ol>
*
* A detailed discussion of this class can also be found in the step-7 and
* step-13 example programs.
*
* @ingroup textoutput
* @author Ralf Hartmann, 1999
*/
class ConvergenceTable: public TableHandler
{
public:
/**
* Constructor.
*/
ConvergenceTable();
/**
* Rate in relation to the rows.
*/
enum RateMode
{
/**
* Do not do anything.
*/
none,
/**
* Quotient of values in the previous row and in this row.
*/
reduction_rate,
/**
* 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.
*/
reduction_rate_log2
};
/**
* Evaluates the convergence rates of the data column
* <tt>data_column_key</tt> due to the #RateMode in relation to the
* reference column <tt>reference_column_key</tt>. 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 <i>default dimension for the
* reference column</i> 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
* <tt>set_tex_supercaption (...)</tt> 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.
*/
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);
/**
* Evaluates the convergence rates of the data column
* <tt>data_column_key</tt> 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.
*/
void
evaluate_convergence_rates (const std::string &data_column_key,
const RateMode rate_mode);
/**
* Omit this column <tt>key</tt> (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 evalution.
*/
void
omit_column_from_convergence_rate_evaluation(const std::string &key);
/**
* Evaluates convergence rates due to the <tt>rate_mode</tt> in relation to
* the reference column <tt>reference_column_key</tt>. This function
* evaluates the rates of ALL columns except of the columns that are to be
* omitted (see previous function) and execpt 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 <tt>n cells</tt> or <tt>n dofs</tt> 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().
*/
void
evaluate_all_convergence_rates(const std::string &reference_column_key,
const RateMode rate_mode);
/**
* Evaluates convergence rates due to the <tt>rate_mode</tt>. This function
* evaluates the rates of ALL columns except of the columns that are to be
* omitted (see previous function) and execpt 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 <tt>n cells</tt> or <tt>n dofs</tt> 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().
*/
void
evaluate_all_convergence_rates(const RateMode rate_mode);
/** @addtogroup Exceptions
* @{ */
/**
* Exception
*/
DeclException0 (ExcWrongValueType);
/**
* Exception
*/
DeclException1 (ExcRateColumnAlreadyExists,
std::string,
<< "Rate column <" << arg1 << "> does already exist.");
//@}
};
DEAL_II_NAMESPACE_CLOSE
#endif
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