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Verified Commit adaa8e65 authored by Xiaoyu Wei's avatar Xiaoyu Wei
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debugging volume integral

parent 1094a8e5
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  • Author Developer

    Residuals of PDE and numerical vs. symbolic differentiation:

    h 0.1 0.01 0.001 0.0001
    residual_u 0.264407 0.000264403 4.94253e-07 3.97963e-05
    residual_v 1.76263e-05 1.76271e-08 3.29687e-11 2.55261e-09
    residual_f1 36.0141 0.00360142 3.58131e-07 1.55126e-09
    residual_f2 0 0 0 0
    residual_u_tld 37879.2 948786 1.29167e+06 750000
    residual_v_tld 1.68883 1.31748 0.319637 0.106426
    residual_phi 34431.6 965059 1.29569e+06 751592
    residual_mu 1.68883 1.31748 0.319637 0.106429

    Obviously, something is wrong with utild and vtild.

  • Interesting. How much debugging have you done on the volume potential?

    Could you check whether e.g.

    (\Delta-\lambda_1^2 I) \int_\Omega G_1(x-y) 1 dy = 1?
    Edited by Andreas Klöckner
  • Author Developer

    Barely minimum. I only printed target points and centers etc and they looked fine. Also, I tested on f_1(\phi) and f_2(\phi) as shown above so the only place that things can go wrong is the volume integral. I will post updates after checking what you suggested.

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