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20062023
most citedQuantum mushroom billiards

53 citations · 207 across the 23 of their papers we have counts for

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Showing 2021Show all

7 papers · 1 filter

math.NA2021★ 2 cited

An OSRC Preconditioner for the EFIE

Ignacia Fierro-Piccardo, Timo Betcke

The Electric Field Integral Equation (EFIE) is a well-established tool to solve electromagnetic scattering problems. However, the development of efficient and easy to implement pre…

math.NA2021★ 2 cited

Hybrid coupling of finite element and boundary element methods using Nitsche's method and the Calderon projection

Timo Betcke, Michał Bosy, Erik Burman

In this paper we discuss a hybridised method for FEM-BEM coupling. The coupling from both sides use a Nitsche type approach to couple to the trace variable. This leads to a formula…

math.NA2021

Benchmark computations for the polarization tensor of small conducting objects

A. A. S. Amad, P. D. Ledger, T. Betcke +1

The characterisation of small low conducting inclusions in an otherwise uniform background from low-frequency electrical field measurements has important applications in medical im…

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★ 15 cited

Frequency-robust preconditioning of boundary integral equations for acoustic transmission

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

The scattering and transmission of harmonic acoustic waves at a penetrable material are commonly modelled by a set of Helmholtz equations. This system of partial differential equat…

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.comp-ph2021★ 5 cited

High-productivity, high-performance workflow for virus-scale electrostatic simulations with Bempp-Exafmm

Tingyu Wang, Christopher D. Cooper, Timo Betcke +1

Biomolecular electrostatics is key in protein function and the chemical processes affecting it. Implicit-solvent models via the Poisson-Boltzmann (PB) equation provide insights wit…