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/usr/share/doc/rheolef-doc/examples/p_laplacian_circle.icc is in rheolef-doc 6.7-6.

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struct u_exact {
  Float operator() (const point& x) const {
    return (1 - pow(norm2(x), p/(2*p-2)))/((p/(p-1))*pow(2.,1/(p-1)));
  }
  u_exact (Float q) : p(q) {}
  protected: Float p;
};
struct grad_u {
  point operator() (const point& x) const {
    return - (pow(norm2(x), p/(2*p-2) - 1)/pow(2.,1/(p-1)))*x;
  }
  grad_u (Float q) : p(q) {}
  protected: Float p;
};