3 papers
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.CV2025
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…
math.CV2025
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…