activity
20012021
most citedAn explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces

38 citations · 97 across the 11 of their papers we have counts for

collaborators

12 papers

math.AP2021

An efficient full wave solver for eddy currents

Johan Helsing, Anders Karlsson, Andreas Rosén

An integral equation reformulation of the Maxwell transmission problem is presented. The reformulation uses techniques such as tuning of free parameters and augmentation of close-t…

physics.comp-ph2020

Comparison of integral equations for the Maxwell transmission problem with general permittivities

Johan Helsing, Anders Karlsson, Andreas Rosén

Two recently derived integral equations for the Maxwell transmission problem are compared through numerical tests on simply connected axially symmetric domains for non-magnetic mat…

physics.comp-ph2019

An extended charge-current formulation of the electromagnetic transmission problem

Johan Helsing, Anders Karlsson

A boundary integral equation formulation is presented for the electromagnetic transmission problem where an incident electromagnetic wave is scattered from a bounded dielectric obj…

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…

physics.comp-ph2016★ 8 cited

Resonances in axially symmetric dielectric objects

Johan Helsing, Anders Karlsson

A high-order convergent and robust numerical solver is constructed and used to find complex eigenwavenumbers and electromagnetic eigenfields of dielectric objects with axial symmet…

physics.comp-ph2015

Determination of normalized electric eigenfields in microwave cavities with sharp edges

Johan Helsing, Anders Karlsson

The magnetic field integral equation for axially symmetric cavities with perfectly conducting piecewise smooth surfaces is discretized according to a high-order convergent Fourier-…