Asymptotic modelling of weakly twisted electrostatic problems

We present an analysis of an electrostatic field within a helicoidal structure with a twist, which is small compared to the characteristic size of the cross-section. The asymptotic results are checked against exact computations thanks to helicoidal coordinates, which preserve the intrinsically two-dimensional nature of the problem. The numerical studies are performed using the finite elements. (c) 2006 Academie des sciences. Published by Elsevier SAS. All rights reserved.