Numerical treatment of rounded and sharp corners in the modeling of 2D electrostatic fields

Abstract

This work deals with numerical techniques to compute electrostatic fields in devices with rounded corners in 2D situations. The approach leads to the solution of two problems: one on the device where rounded corners are replaced by sharp corners and the other on an unbounded domain representing the shape of the rounded corner after an appropriate rescaling. Both problems are solved using different techniques and numerical results are provided to assess the efficiency and the accuracy of the techniques.

Keywords

• Finite element method
• geometric singularity
• asymptotic expansion
• rounded corner