38 citations · 179 across the 22 of their papers we have counts for
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physics.comp-ph2017★ 15 cited
On a Helmholtz transmission problem in planar domains with corners
Johan Helsing, Anders Karlsson
A particular mix of integral equations and discretization techniques is suggested for the solution of a planar Helmholtz transmission problem with relevance to the study of surface…
math.AP2017
Corner effects on the perturbation of an electric potential
Doo Sung Choi, Johan Helsing, Mikyoung Lim
We consider the perturbation of an electric potential due to an insulating inclusion with corners. This perturbation is known to admit a multipole expansion whose coefficients are…
math.AP2017
The spectra of harmonic layer potential operators on domains with rotationally symmetric conical points
Johan Helsing, Karl-Mikael Perfekt
We study the adjoint of the double layer potential associated with the Laplacian (the adjoint of the Neumann-Poincaré operator), as a map on the boundary surface of a domain in…