ExactLaplacianFunction Struct Reference

Laplacian of function. More...

Public Member Functions
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

Laplacian of function.

This is Laplacian of \(u\), it is calculated using formula

\[ \nabla^2 u(x,y,z) = \nabla \cdot \nabla u \frac{\partial^2 u}{\partial x^2}+ \frac{\partial^2 u}{\partial y^2}+ \frac{\partial^2 u}{\partial z^2} \]

Examples

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

Definition at line 58 of file analytical_nonlinear_poisson.cpp.

Member Function Documentation

operator()() [1/3]

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

inline

Examples

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

Definition at line 59 of file analytical_nonlinear_poisson.cpp.

                                                                          {
    return 0.4e1 + (double)(4 * x) + (double)(4 * y) + 0.4e1 * pow(z, 0.3e1) +
           0.3e1 *
               (0.6e1 * z * z + 0.6e1 * (double)x * z * z +
                0.6e1 * (double)y * z * z + 0.6e1 * pow(z, 0.5e1)) *
               z * z +
           0.6e1 *
               (0.2e1 + (double)(2 * x) + (double)(2 * y) +
                0.2e1 * pow(z, 0.3e1) + (double)(x * x) + (double)(2 * x * y) +
                0.2e1 * (double)x * pow(z, 0.3e1) + (double)(y * y) +
                0.2e1 * (double)y * pow(z, 0.3e1) + pow(z, 0.6e1)) *
               z;
  }

operator()() [2/3]

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

inline

Definition at line 65 of file analytical_poisson.cpp.

                                                                          {
    return 4 + 6 * z;
  }

operator()() [3/3]

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

inline

Definition at line 68 of file analytical_poisson_field_split.cpp.

                                                                          {
    return 4 + 6 * z;
  }

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

• tutorials/cor-2to5/analytical_nonlinear_poisson.cpp
• tutorials/cor-2to5/analytical_poisson.cpp
• tutorials/cor-2to5/analytical_poisson_field_split.cpp