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Updated: May 28, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Closed-form analytical expressions for the potential fields generated by triangular monolayers with linearly
1Radboud University Nijmegen, Nijmegen, The Netherlands. avo-linden@home.nl
Abstract:
The solution of the mixed boundary value problem of potential theory involves the computation of the potential field generated by monolayer and double layer source distributions on surfaces at which boundary conditions are known. Closed-form analytical expressions have been described in the literature for the potential field generated by double layers having a linearly distributed strength over triangular source elements. This contribution presents the corresponding expression for the linearly distributed monolayer strength. The solution is shown to be valid for all observation points in space, including those on the interior, edges and vertices of the source triangle.
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