Exercises_MarkusSchmidt/sheet7/jacobi.template/userset.h
Markus Schmidt 4c92446409 Sheet 7
2026-01-06 14:05:44 +01:00

47 lines
1.3 KiB
C++

#ifndef USERSET_FILE
#define USERSET_FILE
#include <cmath>
/**
* User function: f(@p x,@p y)
* @param[in] x x-coordinate of discretization point
* @param[in] y y-coordinate of discretization point
* @return value for right hand side f(@p x,@p y)
*/
double FunctF(double const x, double const y);
/**
* User function: u(@p x,@p y)
* @param[in] x x-coordinate of discretization point
* @param[in] y y-coordinate of discretization point
* @return value for solution vector u(@p x,@p y)
*/
double FunctU(double const x, double const y);
/**
* User function: f(@p x,@p y) = @f$ x^2 \sin(2.5\pi y)@f$.
* @param[in] x x-coordinate of discretization point
* @param[in] y y-coordinate of discretization point
* @return value f(@p x,@p y)
*/
inline
double fNice(double const x, double const y)
{
//return x * x * std::sin(2.5 * M_PI * y); // solution u
return std::sin(M_PI*2.5*y)*(M_PI*M_PI*2.5*2.5*x*x - 2); // -Laplacian(u)
}
/**
* User function: f(@p x,@p y) = 0$.
* @param[in] x x-coordinate of discretization point
* @param[in] y y-coordinate of discretization point
* @return value 0
*/
inline
double f_zero(double const x, double const y)
//double f_zero(double const /*x*/, double const /*y*/)
{
return 0.0 + 0.0*(x+y);
}
#endif