Comments (1)
Hi,
I'm assuming that you're referring to the dirichlet_poisson1d.py demo? uj
is the solution in real space at the quadrature points. u_hat
is the spectral Galerkin solution, that can be evaluated at any point in the domain. If you evaluate at the boundary, you should get the boundary condition (almost exactly)
In [1]: u_hat(-1.0)
Out[1]: array([-2.77555756e-17])
The quadrature points are
In [2]: SD.mesh()
Out[2]:
array([ 0.99785892, 0.98078528, 0.94693013, 0.89687274, 0.83146961,
0.75183981, 0.65934582, 0.55557023, 0.44228869, 0.32143947,
0.19509032, 0.06540313, -0.06540313, -0.19509032, -0.32143947,
-0.44228869, -0.55557023, -0.65934582, -0.75183981, -0.83146961,
-0.89687274, -0.94693013, -0.98078528, -0.99785892])
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