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jloizu avatar jloizu commented on September 23, 2024

Yes I also observed that. I am not sure why this is. Just one comment though: the output error is an integral of the absolute value of the error over the volume, so it will naturally grow with the size of the volume. In my paper I normalized it to the volume – but even then the innermost volume has smaller errors.

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zhisong avatar zhisong commented on September 23, 2024

I understand why Beltrami field error is higher in outer region than inner region.
For Lrad=l being the same in the inner volume and outer volume, the order of polynomial is actually higher in the inner volume because the regularization factor r^m, with the Chebyshev polynomials in the form of T(r^2). The effective order of polynomial is l*2+m in the inner volume and l in the outer volume. So it is not a fair comparison.

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