Norm Class Reference

Provides methods to calculate norms. More...

#include <utility.hh>

List of all members.

Static Public Member Functions
static Real	broL1 (const linDG3D::FvdgSpace &spc, const concepts::Vector< Real > &coeffs, concepts::Formula< Real > &frm, Real time)
	Calculates the broken L1 norm of the difference between an FV solution given by coeffs and the exact solution given by frm by quadrature.
static Real	broL2Grad (const linDG3D::FvdgSpace &spc, const concepts::Vector< Real > &coeffs, concepts::Formula< Real > &gradX, concepts::Formula< Real > &gradY, concepts::Formula< Real > &gradZ)
	Calculates the broken L2 norm of the gradient of the difference between an FV solution given by coeffs and the exact solution given by gradX, gradY and gradZ by quadrature.
static Real	broMax (const linDG3D::FvdgSpace &spc, const concepts::Vector< Real > &coeffs, concepts::Formula< Real > &frm, Real time)
	Calculates the broken max norm of the difference between an FV solution given by coeffs and the exact solution given by frm by quadrature.
static Real	matrix (const concepts::Vector< Real > &coeffs, concepts::Operator< Real > &matrix)
	Calculates the norm defined by matrix of coeffs.
static Real	max (const linDG3D::FvdgSpace &spc, const concepts::Vector< Real > &coeffs)
	Calculates the maximum norm of coeffs, which has to be in an FvdgSpace.
Private Member Functions
	Norm ()
	Constructor. Is private in order to prevent creating an instance.

---

Detailed Description

Provides methods to calculate norms.

Author:

Christoph Winkelmann, 2003

Definition at line 20 of file utility.hh.

---

Constructor & Destructor Documentation

Norm::Norm

(

)

[inline, private]

Constructor. Is private in order to prevent creating an instance.

Definition at line 72 of file utility.hh.

---

Member Function Documentation

static Real Norm::broL1	(	const linDG3D::FvdgSpace &	spc,
		const concepts::Vector< Real > &	coeffs,
		concepts::Formula< Real > &	frm,
		Real	time
	)		[static]

Calculates the broken L1 norm of the difference between an FV solution given by coeffs and the exact solution given by frm by quadrature.

The quadrature formula used is exact for functions up to total degree 2.

Parameters:

coeffs	The coefficent vector of the FV solution
frm	The exact solution
time	The time to evaluate frm at

static Real Norm::broL2Grad	(	const linDG3D::FvdgSpace &	spc,
		const concepts::Vector< Real > &	coeffs,
		concepts::Formula< Real > &	gradX,
		concepts::Formula< Real > &	gradY,
		concepts::Formula< Real > &	gradZ
	)		[static]

Calculates the broken L2 norm of the gradient of the difference between an FV solution given by coeffs and the exact solution given by gradX, gradY and gradZ by quadrature.

The quadrature formula used is exact for functions up to total degree 2.

Parameters:

coeffs	The coefficent vector of the FV solution
gradX	The x component of the exact gradient
gradY	The y component of the exact gradient
gradZ	The z component of the exact gradient

static Real Norm::broMax	(	const linDG3D::FvdgSpace &	spc,
		const concepts::Vector< Real > &	coeffs,
		concepts::Formula< Real > &	frm,
		Real	time
	)		[static]

Calculates the broken max norm of the difference between an FV solution given by coeffs and the exact solution given by frm by quadrature.

Parameters:

coeffs	The coefficent vector of the FV solution
frm	The exact solution
time	The time to evaluate frm at

static Real Norm::matrix	(	const concepts::Vector< Real > &	coeffs,
		concepts::Operator< Real > &	matrix
	)		[static]

Calculates the norm defined by matrix of coeffs.

Parameters:

coeffs	The coefficent vector
matrix	The matrix which defines the norm

static Real Norm::max	(	const linDG3D::FvdgSpace &	spc,
		const concepts::Vector< Real > &	coeffs
	)		[static]

Calculates the maximum norm of coeffs, which has to be in an FvdgSpace.

Parameters:

coeffs

The coefficent vector

---

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

• app-fvdgfem/utility.hh