Adaptivity

Adaptivity provides framework for modifying elements in order to decrease errors of the solution. More...

Classes
class	Hermes::Hermes2D::Adapt< Scalar >
	Evaluation of an error between a (coarse) solution and a reference solution and adaptivity. More...
class	Hermes::Hermes2D::ElementToRefine
	A refinement record. More...
class	Hermes::Hermes2D::KellyTypeAdapt< Scalar >
	A framework for explicit aposteriori error estimators. More...
class	Hermes::Hermes2D::BasicKellyAdapt< Scalar >
	Simple Kelly-estimator based adaptivity for elliptic problems. More...

Macros
#define	HERMES_TOTAL_ERROR_REL   0x00
	Constant used by Adapt::calc_eror(). More...
#define	HERMES_TOTAL_ERROR_ABS   0x01
#define	HERMES_ELEMENT_ERROR_REL   0x00
#define	HERMES_ELEMENT_ERROR_ABS   0x10

Detailed Description

Adaptivity provides framework for modifying elements in order to decrease errors of the solution.

Adaptivity classes calculate error of every element. An error of an element is calculated either by comparing a coarse solution with a reference solution or by evaluating suitable error estimate. Errors of elements define the order in which elements are examined. During examining an element, a refinement is proposed and the element is refined if applicable. The refinement is proposed through refinement selectors, see Refinement Selectors.

Macro Definition Documentation

#define HERMES_ELEMENT_ERROR_ABS   0x10

An error of an element is a square of an error divided by a square of a norm of a corresponding component. When norms of 2 components are very different (e.g. microwave heating), it can help. Navier-stokes on different meshes work only when absolute error (see ::H2D_ELEMENT_ERROR_ABS) is used.

Note

Used by Adapt::calc_errors_internal(). This flag is mutually exclusive with ::H2D_ELEMENT_ERROR_ABS. A flag which defines interpretation of of an error of an element.

Definition at line 56 of file global.h.

#define HERMES_ELEMENT_ERROR_REL   0x00

The total error is absolute, i.e., it is an integral over squares of differencies.

Note

Used by Adapt::calc_errors_internal(). This flag is mutually exclusive with HERMES_TOTAL_ERROR_REL. A flag which defines interpretation of an error of an element.

Definition at line 51 of file global.h.

Referenced by Hermes::Hermes2D::KellyTypeAdapt< Scalar >::calc_err_internal(), and Hermes::Hermes2D::Adapt< Scalar >::calc_err_internal().

#define HERMES_TOTAL_ERROR_ABS   0x01

The total error is divided by the norm and therefore it should be in a range[0, 1].

Note

Used by Adapt::calc_errors_internal().. This flag is mutually exclusive with ::H2D_TOTAL_ERROR_ABS. A flag which defines interpretation of the total error.

Definition at line 48 of file global.h.

Referenced by Hermes::Hermes2D::KellyTypeAdapt< Scalar >::calc_err_internal(), and Hermes::Hermes2D::Adapt< Scalar >::calc_err_internal().

#define HERMES_TOTAL_ERROR_REL   0x00

Constant used by Adapt::calc_eror().

A flag which defines interpretation of the total error.

Definition at line 45 of file global.h.

Referenced by Hermes::Hermes2D::KellyTypeAdapt< Scalar >::calc_err_internal(), and Hermes::Hermes2D::Adapt< Scalar >::calc_err_internal().