H. Hakula

collaborators

Showing math.NAShow all

3 papers · 1 filter

math.NA2026

Efficient Numerical Conformal Mappings on Multiply Connected Riemann Surfaces

H. Hakula, A. Rasila, Y. Zheng

The conjugate function method is an algorithm for numerical computation of conformal mappings for simply and multiply connected domains on surfaces. In this paper the conjugate fun…

math.NA2026

A boundary integral equation method for Steklov eigenvalue problems for smooth planar domains

Jamie Swan, Mohamed M. S. Nasser, Harri Hakula +1

In this paper, we study the computational question of whether the Steklov spectrum of smooth simply connected planar domains can be approximated accurately by a boundary-only formu…

math.NA2025

Fast capacity computation for maze-like configurations

Harri Hakula, Oona Rainio, Matti Vuorinen

We study the conformal capacity $cap (I^c ◯, K)$ where $I^c ◯$ is a bounded domain of $R^{2}$ and $K$ is a compact connected set in $I^c ◯$ . Because the exact numerical value of…