Triangle vertices electric field approximation

[hochshi]

Hi,
So for the past two years I've been working with TABI-PB using ply files as inputs, which I have still not opened a pull request for.
The reason for working with ply files is that it allows me to create a very refined mesh around interest areas and a coarse mesh at areas far away using other mesh libraries and tools.

I wanted to get your input on approximating the electric field at triangle vertices by reconstructing the electric field per triangle panel as in Addison-Smith et al., J. Chem. Theory Comput., 2023 (https://doi.org/10.1021/acs.jctc.3c00021) followed by finding the L^2 vertex field that is an approximations of the triangle wise field. My understanding is that the error of such an approximation is dominated by the difference in calculated potential and normal derivatives between the two different methods in Wilson et al., J. Phys. Chem. B, 2022 (TABI-PB 2.0) and Addison-Smith et al., J. Chem. Theory Comput., 2023 (Accurate Boundary Integral Formulations) and not by the reconstruction of the electric field (which is identical) and finding the L^2 node field.

I would really appreciate any comments or input.

Cheers and I hope you have a lovely holiday season.