ExactFunction Struct Reference

Function. More...

Public Member Functions
double	operator() (const double x, const double y, const double t) const
double	operator() (const double x, const double y, const double t) const
double	operator() (const double x, const double y, const double z) const
double	operator() (const double x, const double y, const double z) const
double	operator() (const double x, const double y, const double z) const

Detailed Description

Function.

This is prescribed exact function. If this function is given by polynomial order of "p" and order of approximation is "p" or higher, solution of finite element method is exact (with machine precision).

\[ u = 1+x+2y+3z \]

This is prescribed exact function. If this function is given by polynomial order of "p" and order of approximation is "p" or higher, solution of finite element method is exact (with machine precision).

\[ u = 1+x^2+y^2+z^3 \]

This is prescribed exact function. If this function is given by polynomial order of "p" and order of approximation is "p" or higher, solution of finite element method is exact (with machine precision).

\[ u = 1+x^2+y^2+z^3 \]

Examples

analytical_nonlinear_poisson.cpp, analytical_poisson.cpp, and analytical_poisson_field_split.cpp.

Definition at line 175 of file mixed_reac_diff.cpp.

Member Function Documentation

operator()() [1/5]

double ExactFunction::operator() ( const double  x, const double  y, const double  t  ) const

inline

Examples

analytical_nonlinear_poisson.cpp, analytical_poisson.cpp, and analytical_poisson_field_split.cpp.

Definition at line 176 of file mixed_reac_diff.cpp.

                                                                          {
    double g = cos(T * x) * cos(T * y);
    if (t <= ramp_t) {
      return g * t;
    } else {
      return g * ramp_t;
    }
  }

operator()() [2/5]

double ExactFunction::operator() ( const double  x, const double  y, const double  t  ) const

inline

Definition at line 155 of file std_reac_diff.cpp.

                                                                          {
    double g = sin(T * x) * sin(T * y);
    double val = 0;
    if (x > -sml) {
      val = 1.0 * g;
    } else {
      val = g;
    }
    if (t <= ramp_t) {
      return val * t;
    } else {
      return val * ramp_t;
    }
  }

operator()() [3/5]

double ExactFunction::operator() ( const double  x, const double  y, const double  z  ) const

inline

Definition at line 35 of file analytical_nonlinear_poisson.cpp.

                                                                          {
    return 1 + x + y + pow(z, 3);
  }

operator()() [4/5]

double ExactFunction::operator() ( const double  x, const double  y, const double  z  ) const

inline

Definition at line 33 of file analytical_poisson.cpp.

                                                                          {
    return 1 + x * x + y * y + z * z * z;
  }

operator()() [5/5]

double ExactFunction::operator() ( const double  x, const double  y, const double  z  ) const

inline

Definition at line 36 of file analytical_poisson_field_split.cpp.

                                                                          {
    return 1 + x * x + y * y + z * z * z;
  }

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The documentation for this struct was generated from the following files:

• users_modules/softmech/chemo_mech/mixed_reac_diff.cpp
• users_modules/softmech/chemo_mech/std_reac_diff.cpp
• users_modules/tutorials/cor-2to5/analytical_nonlinear_poisson.cpp
• users_modules/tutorials/cor-2to5/analytical_poisson.cpp
• users_modules/tutorials/cor-2to5/analytical_poisson_field_split.cpp