4 papers
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…
On computation of capacities and conformal invariants
Mohamed M S Nasser, Matti Vuorinen
We give a survey of computation of the conformal capacity of planar condensers, generalized capacity, and logarithmic capacity with emphasis on our recent work 2020-2025. We also d…
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…