virtual Scalar2<std::complex<double> > value(double x, double y) const
{
Scalar2<std::complex<double> >ex(0.0, 0.0);
#pragma omp critical (custom)
{
exact_sol_val(x, y, ex[0], ex[1]);
}
return ex;
};
static void exact_sol(double x, double y, double z, scalar &e0, scalar &e1, scalar &e1dx, scalar &e0dy)
{
exact_sol_val(x, y, z, e0, e1);
double t1 = x*x;
double t2 = y*y;
double t3 = t1+t2;
double t4 = sqrt(t3);
double t5 = jv(2.0/3.0,t4);
double t6 = 1/t4;
double t7 = jv(-1.0/3.0,t4);
double t11 = (-t5-t6*t7/3.0)*t6;
double t14 = 1/t4/t3;
double t15 = t14*t5;
double t21 = t7-2.0/3.0*t6*t5;
double t22 = 1/t3*t21;
double t27 = atan2(y,x);
if (t27 < 0) t27 += 2.0*M_PI;
double t28 = 2.0/3.0*t27;
double t29 = cos(t28);
double t32 = t21*t14;
double t35 = t21*t6;
double t36 = t35*t29;
double t39 = sin(t28);
double t41 = 1/t1;
double t43 = 1.0+t2*t41;
double t44 = 1/t43;
double t47 = 4.0/3.0*t35/x*t39*y*t44;
double t48 = t5*t29;
double t49 = t1*t1;
double t52 = t43*t43;
double t53 = 1/t52;
double t57 = t5*t39;
double t59 = 1/t1/x;
e1dx =-(t11*x+2.0/3.0*t15*x-2.0/3.0*t22*x)
*t6*x*t29+t32*t1*t29-t36-t47+4.0/9.0*t48*t2/t49*t53+4.0/3.0*t57*y*t59*t44-4.0/3.0*t57*t2*y/t49/x*t53;
e0dy = (t11*y+2.0/3.0*t15*y-2.0/3.0*t22*y)*t6*y*t29-t32*t2*t29+t36-t47-4.0/9.0*t48*t41*t53+4.0/3.0*t57*t59*t53*y;
}
virtual Scalar2<std::complex<double> > value(double x, double y) const
{
Scalar2<std::complex<double> >ex(0.0, 0.0);
exact_sol_val(x, y, ex[0], ex[1]);
return ex;
};
virtual scalar2 value(double x, double y) const
{
scalar2 ex(0.0, 0.0);
exact_sol_val(x, y, ex.val[0], ex.val[1]);
return ex;
};