Kaskade::Elastomechanics::Pstable Class Reference

Numerically stable evaluation of \( (x+1)^p -1 \). More...

#include <elasto.hh>

Detailed Description

Numerically stable evaluation of \( (x+1)^p -1 \).

The direct evaluation is numerically instable around zero due to cancellation of leading digits. This class performs a Taylor expansion around zero and achieves a stable evaluation.

Definition at line 210 of file elasto.hh.

Public Member Functions
	Pstable (double p_, double x_)
	Constructor. More...
double	d0 () const
double	d1 (double dx) const
double	d2 (double dx1, double dx2) const

Constructor & Destructor Documentation

Pstable()

Kaskade::Elastomechanics::Pstable::Pstable	(	double	p_,
		double	x_
	)

Constructor.

Parameters

p	exponent
x	argument, x > -1 has to hold

Member Function Documentation

d0()

double Kaskade::Elastomechanics::Pstable::d0 ( ) const

inline

Definition at line 219 of file elasto.hh.

Referenced by Kaskade::Elastomechanics::IsochoricGreenLagrangeTensor< dim, Scalar >::d0(), Kaskade::Elastomechanics::MaterialLaws::BlatzKo< dimension >::d0(), and Kaskade::Elastomechanics::IsochoricGreenLagrangeTensor< dim, Scalar >::d1().

d1()

double Kaskade::Elastomechanics::Pstable::d1 ( double  dx ) const

inline

Definition at line 220 of file elasto.hh.

Referenced by Kaskade::Elastomechanics::MaterialLaws::BlatzKo< dimension >::d1(), Kaskade::Elastomechanics::IsochoricGreenLagrangeTensor< dim, Scalar >::d1(), and Kaskade::Elastomechanics::IsochoricGreenLagrangeTensor< dim, Scalar >::d2().

d2()

double Kaskade::Elastomechanics::Pstable::d2 ( double  dx1, double  dx2  ) const

inline

Definition at line 221 of file elasto.hh.

Referenced by Kaskade::Elastomechanics::MaterialLaws::BlatzKo< dimension >::d2(), and Kaskade::Elastomechanics::IsochoricGreenLagrangeTensor< dim, Scalar >::d2().

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

• elasto.hh