# Numerical computation of the capacity of generalized condensers

## TL;DR

This paper introduces a boundary integral method for numerically calculating the capacity of generalized condensers with complex geometries, also enabling harmonic measure computation in multiply connected domains.

## Contribution

The paper presents a versatile boundary integral approach applicable to various complex geometries of generalized condensers, including piecewise smooth and rectilinear configurations.

## Key findings

- Effective numerical computation of condenser capacity for complex geometries
- Method applicable to multiply connected domains for harmonic measure calculation
- Broad applicability to different boundary shapes

## Abstract

We present a boundary integral method for numerical computation of the capacity of generalized condensers. The presented method applies to a wide variety of generalized condenser geometry including the cases when the plates of the generalized condenser are bordered by piecewise smooth Jordan curves or are rectilinear slits. The presented method is used also to compute the harmonic measure in multiply connected domains.