53 citations · 207 across the 23 of their papers we have counts for
24 papers
Numerical aspects of Casimir energy computation in acoustic scattering
Xiaoshu Sun, Timo Betcke, Alexander Strohmaier
Computing the Casimir force and energy between objects is a classical problem of quantum theory going back to the 1940s. Several different approaches have been developed in the lit…
Coupling finite and boundary element methods to solve the Poisson--Boltzmann equation for electrostatics in molecular solvation
Michal Bosy, Matthew W. Scroggs, Timo Betcke +2
The Poisson--Boltzmann equation is widely used to model electrostatics in molecular systems. Available software packages solve it using finite difference, finite element, and bound…
PyExaFMM: an exercise in designing high-performance software with Python and Numba
Srinath Kailasa, Tingyu Wang, Lorena A. Barba +1
Numba is a game-changing compiler for high-performance computing with Python. It produces machine code that runs outside of the single-threaded Python interpreter and that fully ut…
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…
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…
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…
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…
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…
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…
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…
Accelerating frequency-domain numerical methods for weakly nonlinear focused ultrasound using nested meshes
Samuel P. Groth, Pierre Gélat, Seyyed R. Haqshenas +4
The numerical simulation of weakly nonlinear ultrasound is important in treatment planning for focused ultrasound (FUS) therapies. However, the large domain sizes and generation of…
Accelerated Calderón preconditioning for Maxwell transmission problems
Antigoni Kleanthous, Timo Betcke, David P. Hewett +3
We investigate a range of techniques for the acceleration of Calderón (operator) preconditioning in the context of boundary integral equation methods for electromagnetic transmissi…
Boundary element methods for Helmholtz problems with weakly imposed boundary conditions
Timo Betcke, Erik Burman, Matthew W. Scroggs
We consider boundary element methods where the Calderón projector is used for the system matrix and boundary conditions are weakly imposed using a particular variational boundary o…
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…
Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra
Timo Betcke, Alexander Haberl, Dirk Praetorius
The accurate computation of the electrostatic capacity of three dimensional objects is a fascinating benchmark problem with a long and rich history. In particular, the capacity of…
Calderón preconditioning of PMCHWT boundary integral equations for scattering by multiple absorbing dielectric particles
Antigoni Kleanthous, Timo Betcke, David P. Hewett +2
We consider the simulation of electromagnetic scattering by single and multiple isotropic homogeneous dielectric particles using boundary integral equations. Galerkin discretizatio…
Adaptive BEM with optimal convergence rates for the Helmholtz equation
Alex Bespalov, Timo Betcke, Alexander Haberl +1
We analyze an adaptive boundary element method for the weakly-singular and hypersingular integral equations for the 2D and 3D Helmholtz problem. The proposed adaptive algorithm is…
Boundary element methods with weakly imposed boundary conditions
Timo Betcke, Erik Burman, Matthew W. Scroggs
We consider boundary element methods where the Calderón projector is used for the system matrix and boundary conditions are weakly imposed using a particular variational boundary o…
Product algebras for Galerkin discretisations of boundary integral operators and their applications
Timo Betcke, Matthew Scroggs, Wojciech Smigaj
Operator products occur naturally in a range of regularized boundary integral equation formulations. However, while a Galerkin discretisation only depends on the domain space and t…
Simple and efficient GPU parallelization of existing H-Matrix accelerated BEM code
Kerstin Vater, Timo Betcke, Boris Dilba
In this paper, we demonstrate how GPU-accelerated BEM routines can be used in a simple black-box fashion to accelerate fast boundary element formulations based on Hierarchical Matr…
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…
Overresolving in the Laplace domain for convolution quadrature methods
T. Betcke, N. Salles, W. Śmigaj
Convolution quadrature (CQ) methods have enjoyed tremendous interest in recent years as an efficient tool for solving time-domain wave problems in unbounded domains via boundary in…
Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation
Timo Betcke, Simon N. Chandler-Wilde, Ivan G. Graham +2
We consider the classical coupled, combined-field integral equation formulations for time-harmonic acoustic scattering by a sound soft bounded obstacle. In recent work, we have pro…
Quantum mushroom billiards
A. H. Barnett, T. Betcke
We report the first large-scale statistical study of very high-lying eigenmodes (quantum states) of the mushroom billiard proposed by L. Bunimovich in this journal, vol. 11, 802 (2…