Sheet 7
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sheet7/jacobi.template/userset.h
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sheet7/jacobi.template/userset.h
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#ifndef USERSET_FILE
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#define USERSET_FILE
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#include <cmath>
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/**
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* User function: f(@p x,@p y)
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* @param[in] x x-coordinate of discretization point
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* @param[in] y y-coordinate of discretization point
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* @return value for right hand side f(@p x,@p y)
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*/
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double FunctF(double const x, double const y);
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/**
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* User function: u(@p x,@p y)
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* @param[in] x x-coordinate of discretization point
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* @param[in] y y-coordinate of discretization point
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* @return value for solution vector u(@p x,@p y)
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*/
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double FunctU(double const x, double const y);
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/**
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* User function: f(@p x,@p y) = @f$ x^2 \sin(2.5\pi y)@f$.
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* @param[in] x x-coordinate of discretization point
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* @param[in] y y-coordinate of discretization point
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* @return value f(@p x,@p y)
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*/
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inline
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double fNice(double const x, double const y)
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{
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//return x * x * std::sin(2.5 * M_PI * y); // solution u
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return std::sin(M_PI*2.5*y)*(M_PI*M_PI*2.5*2.5*x*x - 2); // -Laplacian(u)
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}
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/**
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* User function: f(@p x,@p y) = 0$.
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* @param[in] x x-coordinate of discretization point
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* @param[in] y y-coordinate of discretization point
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* @return value 0
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*/
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inline
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double f_zero(double const x, double const y)
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//double f_zero(double const /*x*/, double const /*y*/)
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{
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return 0.0 + 0.0*(x+y);
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}
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#endif
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