Reducing Meshing Requirements for Electrostatic Problems using a Galerkin Boundary Element Method

TL;DR

This paper introduces a boundary element method that reduces meshing complexity in electrostatic simulations of CAD models, enabling faster virtual prototyping with maintained accuracy.

Contribution

It presents a novel BEM approach allowing discontinuous fields and non-conforming meshes, improving efficiency in electrostatic CAD simulations.

Findings

Excellent agreement with conforming BEM results

Reduced meshing requirements for electrostatic problems

Validated through numerical experiments

Abstract

This work focuses on model preparation for electrostatic simulations of CAD designs to realize a rapid virtual prototyping concept. We present a boundary element method (BEM) allowing discontinuous fields between surfaces. The corresponding edges of the CAD model are enhanced with the data required to integrate over non-conforming elements. Finally, we generate a mesh for each CAD surface. The approach is verified via numerical experiments and shows excellent agreement with conforming BEM results.