4 papers
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…
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…
Fast capacity computation for maze-like configurations
Harri Hakula, Oona Rainio, Matti Vuorinen
We study the conformal capacity where is a bounded domain of and is a compact connected set in . Because the exact numerical value of…
Constrained maximization of conformal capacity
Harri Hakula, Mohamed M. S. Nasser, Matti Vuorinen
We consider constellations of disks which are unions of disjoint hyperbolic disks in the unit disk with fixed radii and unfixed centers. We study the problem of maximizing the conf…