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20172025
most citedSoftware frameworks for integral equations in electromagnetic scattering based on Calderón identities

32 citations · 65 across the 6 of their papers we have counts for

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6 papers

physics.med-ph2025

Full-Wave Modeling of Transcranial Ultrasound using Volume-Surface Integral Equations and CT-Derived Heterogeneous Skull Data

Alberto Almuna-Morales, Danilo Aballay, Pierre Gélat +2

Transcranial ultrasound therapy uses focused acoustic energy to induce therapeutic bioeffects in the brain. Ultrasound must be transmitted through the skull, which is highly attenu…

math.NA2021

Towards optimal boundary integral formulations of the Poisson-Boltzmann equation for molecular electrostatics

Stefan D. Search, Christopher D. Cooper, Elwin van't Wout

The Poisson-Boltzmann equation offers an efficient way to study electrostatics in molecular settings. Its numerical solution with the boundary element method is widely used, as the…

math.NA2021★ 15 cited

Boundary integral formulations for acoustic modelling of high-contrast media

Elwin van 't Wout, Seyyed R. Haqshenas, Pierre Gélat +2

The boundary element method is an efficient algorithm for simulating acoustic propagation through homogeneous objects embedded in free space. The conditioning of the system matrix…

math.NA2021★ 18 cited

Benchmarking preconditioned boundary integral formulations for acoustics

Elwin van 't Wout, Seyyed R. Haqshenas, Pierre Gélat +2

The boundary element method (BEM) is an efficient numerical method for simulating harmonic wave propagation. It uses boundary integral formulations of the Helmholtz equation at the…

physics.med-ph2019

A fast full-wave solver for trans-abdominal high-intensity focused ultrasound treatment planning

S. R. Haqshenas, P. Gélat, E. van 't Wout +2

High-intensity focused ultrasound (HIFU) is a promising treatment modality for the non-invasive ablation of pathogenic tissue in many organs. Optimal treatment planning strategies…

math.NA2017★ 32 cited

Software frameworks for integral equations in electromagnetic scattering based on Calderón identities

Matthew Scroggs, Timo Betcke, Erik Burman +2

In recent years there have been tremendous advances in the theoretical understanding of boundary integral equations for Maxwell problems. In particular, stable dual pairing of disc…