ArticleJournal of physics. Condensed matter : an Institute of Physics journal2018
Surface charge method for molecular surfaces with curved areal elements I. Spherical triangles.
Article in Journal of physics. Condensed matter : an Institute of Physics journal, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Electrostatics of charged dielectric spheres with application to biological systems. III. Rigorous ionic screening at the Debye-Hückel level.Physical review. E · 2020Article
- Improving series convergence: the simple pendulum and beyond.European journal of physics · 2018Article
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Abstract
Parametrizing a curved surface with flat triangles in electrostatics problems creates a diverging electric field. One way to avoid this is to have curved areal elements. However, charge density integration over curved patches appears difficult. This paper, dealing with spherical triangles, is the first in a series aiming to solve this problem. Here, we lay the ground work for employing curved patches for applying the surface charge method to electrostatics. We show analytically how one may control the accuracy by expanding in powers of the the arc length (multiplied by the curvature). To accommodate not extremely small curved areal elements, we have provided enough details to include higher order corrections that are needed for better accuracy when slightly larger surface elements are used.
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