53 citations · 207 across the 23 of their papers we have counts for
17 papers · 1 filter
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…
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…
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…
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…