Functions::StokesLSingularity Class Reference
[Functions]

Inheritance diagram for Functions::StokesLSingularity:
Inheritance graph
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List of all members.

Public Member Functions

 StokesLSingularity ()
 Constructor setting upsome data.
virtual void vector_values (const std::vector< Point< 2 > > &points, std::vector< std::vector< double > > &values) const
virtual void vector_gradients (const std::vector< Point< 2 > > &points, std::vector< std::vector< Tensor< 1, 2 > > > &gradients) const
virtual void vector_laplacians (const std::vector< Point< 2 > > &points, std::vector< std::vector< double > > &values) const

Private Member Functions

double Psi (double phi) const
 The auxiliary function Psi.
double Psi_1 (double phi) const
 The derivative of Psi().
double Psi_2 (double phi) const
 The 2nd derivative of Psi().
double Psi_3 (double phi) const
 The 3rd derivative of Psi().
double Psi_4 (double phi) const
 The 4th derivative of Psi().

Private Attributes

const double omega
 The angle of the reentrant corner.
const double coslo
 Cosine of lambda times omega.
const double lp
 Auxiliary variable 1+lambda.
const double lm
 Auxiliary variable 1-lambda.

Static Private Attributes

static const double lambda
 The exponent of the radius.

Detailed Description

The solution to Stokes' equations on an L-shaped domain.

Taken from Houston, Schötzau, Wihler, proceeding ENUMATH 2003.

Author:
Guido Kanschat, 2007

Constructor & Destructor Documentation

Functions::StokesLSingularity::StokesLSingularity (  ) 

Constructor setting upsome data.


Member Function Documentation

virtual void Functions::StokesLSingularity::vector_values ( const std::vector< Point< 2 > > &  points,
std::vector< std::vector< double > > &  values 
) const [virtual]
virtual void Functions::StokesLSingularity::vector_gradients ( const std::vector< Point< 2 > > &  points,
std::vector< std::vector< Tensor< 1, 2 > > > &  gradients 
) const [virtual]
virtual void Functions::StokesLSingularity::vector_laplacians ( const std::vector< Point< 2 > > &  points,
std::vector< std::vector< double > > &  values 
) const [virtual]
double Functions::StokesLSingularity::Psi ( double  phi  )  const [private]

The auxiliary function Psi.

double Functions::StokesLSingularity::Psi_1 ( double  phi  )  const [private]

The derivative of Psi().

double Functions::StokesLSingularity::Psi_2 ( double  phi  )  const [private]

The 2nd derivative of Psi().

double Functions::StokesLSingularity::Psi_3 ( double  phi  )  const [private]

The 3rd derivative of Psi().

double Functions::StokesLSingularity::Psi_4 ( double  phi  )  const [private]

The 4th derivative of Psi().


Member Data Documentation

The angle of the reentrant corner.

The exponent of the radius.

Cosine of lambda times omega.

Auxiliary variable 1+lambda.

Auxiliary variable 1-lambda.


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

deal.II documentation generated on Mon Nov 23 22:58:18 2009 by doxygen 1.6.1