Date: Tuesday 14 – Saturday 18 September 2004
Location: University of Reading
Following the success of the first two conferences in this series at the University of Salford in September 1997 and the University of Bath in September 2000, the third conference was held at the University of Reading, 14-18 September 2004.
Conference Organising and Scientific Committee
Simon Chandler-Wilde, University of Reading (chair)
Sia Amini, University of Salford
Ke Chen, University of Liverpool
Penny Davies, University of Strathclyde
Ivan Graham, University of Bath
Paul Martin, Colorado School of Mines
Conference Invited Speakers
Peter Bettess, University of Durham, UK
Marc Bonnet, Ecole Polytechnique, France
Oscar Bruno, California Institute of Technology, USA
Wolgang Dahmen, RWTH Aachen, Germany
Vladimir Maz’ya, Linköping University, Sweden
William McLean, University of New South Wales, Australia
Eric Michielssen, University of Illinois, USA
David Natroshvili, Georgian Technical University, Tbilisi
Jean-Claude Nedéléc, Ecole Polytechnique, France
Roland Potthast, University of Göttingen, Germany
Christoph Schwab, ETH, Zurich
Jean-Marc Vanden-Broeck, University of East Anglia, UK
Wolfgang Wendland, University of Stuttgart, Germany
Boundary integral methods are an established technique for the solution of partial differential equations in science and engineering, with applications in many diverse areas including fluid mechanics, fracture mechanics, acoustics, electromagnetics, inverse problems and free- and moving-boundary problems.
This meeting provided a forum for the exchange of ideas between academic and industrial researchers in different disciplines whose common interest is boundary integral methods.
The conference discussed recent developments in the theory and numerical analysis of integral equation methods for solving partial differential equations. The meeting also encompassed applications of contemporary relevance such as direct and inverse (medium and high frequency) scattering, multi-scale problems, optimal design, anisotropic and chiral media, and moving boundary problems in hydrodynamics and viscous flow. Modern computational techniques was an additional theme, including multipole methds, wavelets, panel clustering, preconditioners, domain decomposition methods, coupled and hybrid methods, and adaptivity and error estimators.
In particular, the conference featured an Interdisciplinary Workshop on Developments in Boundary Element Methods for Acoustics and Electromagnetics, supported by the UK Engineering and Physical Sciences Research Council, and held on the 15-17 September, in parallel with other conference sessions.
Particularly attractive to research students and workers new to the area, the meeting started on the morning of 14 September with instructional lectures by William McLean, based on his recent book ‘Strongly Elliptic Systems and Boundary Integral Equations’.
As well as the Invited Lectures, the conference included contributed talks and discussion sessions.
Interdisciplinary Workshop on Developments in Boundary Element Methods for Acoustic and Electromagnetics
This interdisciplinary workshop, supported by the UK Engineering and Physical Sciences Research Council, aims to connect engineers, mathematicians, and industrialists working on innovative boundary element algorithms and their application in computational acoustics and electromagnetics, and to explore the opportunities for increased collaboration in this field.
The workshop will highlight recent algorithmic developments and applications of common interest in acoustics and electromagnetics, for example fast multipole and preconditioned iterative methods, time domain scattering problems, inverse problems, hybrid and high-frequency methods, and scattering by rough surfaces.
The workshop, which will run for three full days, from lunchtime on Wednesday 15th September to lunchtime on Saturday 18 September, will comprise invited lectures, contributed talks of 20-25 minutes duration, and discussion of open problems and future directions, led by invited industrial and academic contributors.
The workshop will be held at the attractive main 300 acre Whiteknights campus of the University of Reading. Reading, the county town of the Royal County of Berkshire, is 50km West of London (22 minutes by train), with good bus and train links to Heathrow and Gatwick Airports. There are excellent opportunities for combining attendance at the conference with a vacation in the area (see, for example, http://www.chem.reading.ac.uk/town/), local attractions including London, Windsor, Henley, and Oxford.
Workshop Organising and Scientific Committee
Sia Amini, University of Salford
Simon Chandler-Wilde, University of Reading
Ke Chen, University of Liverpool
Penny Davies, University of Strathclyde
Ivan Graham, University of Bath
Paul Martin, Colorado School of Mines
Workshop Invited Speakers
Peter Bettess, University of Durham, UK
Oscar Bruno, California Institute of Technology, USA
Eric Michielssen, University of Illinois, USA
David Natroshvili, Georgian Technical University, Tbilisi
Jean-Claude Nedelec, Ecole Polytechnique, France
Roland Potthast, University of Göttingen, Germany
The workshop forms part of the Institute of Mathematics and its Applications Third International Conference on Boundary Integral Methods: Theory and Applications, 14-18 September, University of Reading. Workshop participants are strongly encouraged to attend all or part of the larger conference, which starts on the morning of Tuesday 14 September and finishes at lunchtime on Saturday 18 September.
Workshop Additional Invited Speakers
Marc Bonnet, Ecole Polytechnique, France
Wolgang Dahmen, RWTH Aachen, Germany
Vladimir Maz’ya, Linköping University, Sweden
William McLean, University of New South Wales, Australia
David Porter, University of Reading, UK
Christoph Schwab, ETH, Zurich
Jean-Marc Vanden-Broeck, University of East Anglia, UK
Wolfgang Wendland, University of Stuttgart
As well as the Invited Lectures, the workshop will include contributed talks of 20-25 minutes in length. A limited number of contributed papers are still being accepted by arrangement with the conference committee. Please email Simon Chandler-Wilde, University of Reading, if you would like to speak at the workshop.
For further details contact the IMA Conference Officer.
Abstracts
Instructional Lecture
William McLean, University of New South Wales
A Short Course on Boundary Integral Equations
Invited Plenary Lectures
P. Bettess, E. Perry-Debain, O. Laghrouche, J. Trevelyan and J. Shirron
Plane wave basis boundary elements and finited elements for wave scattering problems
M. Bonnet and B.B. Guzina
Topological sensitivity for 3D elastic and acoustic inverse scattering
O. Bruno
New high-order, high-frequency methods in computational electromagnetism
W. Dahmen
Adaptive Wavelet Methods for Boundary Integral Equations
V. Maz’ya
Boundary value problems for the Stokes and Navier-Stokes systems in a polyhedral domain
W. McLean
The Conditioning of Boundary Element Equations
E. Michielssen
Progress in Plane Wave Time Domain Accelerated Integral Equation Solvers
D. Natroshvili
Mathematical problems of the elasticity theory of chiral materials
M. Durán, I. Muga and J.-C. Nédélec
The Helmholtz Equation with Impedance in a Perturbed Half-Plane
R. Potthast
An introduction to some new methods for inverse scattering problems
C. Schwab
Wavelet Galerkin Methods for Boundary Integral Equations with Stochastic Data
J.-M. Vanden-Broeck
Three and two dimensional nonlinear free surface flows
W. L. Wendland
J. Radon’s convergence proof for C. Neumann’s method with double layer potentials
Contributed Talks
T. Arens, S.N. Chandler-Wilde and J.A. DeSanto
First Kind Integral Equation Methods for Scattering by a Periodic Surface
J. Sikora, S.R. Arridge, J. Ripoll, A.D. Zacharopoulos, J.D. Riley
Light Propagation in Diffusive Media with Non-Scattering Regions using 3D BEM
L. Banjai and W. Hackbusch
H2-matrices for High Frequency Helmholtz Equation
J.T. Beale
Computing with Singular and Nearly Singular Integrals
M. Bebendorf
Fast Iterative or Fast Direct Solution of Boundary Element Systems
A. Bendali and M. Fares
A FETI-like Domain Decomposition Procedure for coupling large scale Finite Element-Boundary Element formulations in acoustic scattering
S. Börm
H2-matrices with adaptive bases
J. Breuer, O. Steinbach and W. Wendland
A Fast Boundary Element Method for Eddy Current Problems with Prescribed Current Densities on Contacts
B. Carpentieri
High-performance iterative solution of large dense systems from electromagnetics
C. Carstensen and D. Praetorius
Numerical Analysis of an Integral Equation for Macroscopic Simulations of Micromagnetics for the Large-Soft Limit
S. Chandler-Wilde and S. Langdon
High Frequency Boundary Element Methods for Scattering by Polygons
A. Curteanu, D.B. Ingham, L. Elliott and D. Lesnic
Boundary Element Method and Laplacian Decomposition for Solving Stokes Problems
E.G. Darrigrand and P. Monk
Ultra-Weak Variational Formulation and Integral Representation using a Fast Multipole Method for the Equations of Electromagnetism
A. Frangi and G. Novati
A qualocation enhanced approach for the Dirichlet problem of exterior Stokes flow and incompressible elasticity
Y. Ding, J. Giroire, T. Ha-Duong and V. Moumas
Evaluation of well productivity in 3D petroleum reservoir by boundary element methods
V. Domínguez and F.-J. Sayas
An overlapped BEM-FEM coupling for solving a transmission problem
R. Duduchava
Boundary Integral Equations on Non-Smooth Curves
P.J. Davies and D.B. Duncan
The stability of numerical approximations of the time domain current induced on thin wire and strip antennas
U. Eberwien
Efficient calculation of internal results for 2D and 3D elasticity BEM – theory and application
S. Amini, S.P. Nixon and P.R. Rajaguru
Multiwavelet Galerkin Boundary Element Solution of Laplace’s Equation
S. Funken
FEM-BEM Coupling in Micromagnetics
L. Gatard
High order boundary integral methods for Maxwell’s equations: coupling of Microlocal Discretization and Fast Multipole Methods
I. Graham
Panel Clustering on Degenerate Meshes
L. Grasedyck
Adaptive Coarsening and Preconditioning of BEM Stiffness Matrices
J. Gwinner
Some Recent Advances in the Treatment of Unilateral Boundary Problems by Boundary Integral Methods
A. El-Badia, M. Farah and T. Ha-Duong
A symmetric integral formulation on the EEG problem
P.J. Harris, K. Chen and J. Cheng
A weakly-singular piecewise linear and quadratic collocation method for solving the exterior Helmholtz problem valid for all real and positive wave numbers
J. Heiskala, J. Sikora and S.R. Arridge
Different implementations of BEM for diffuse optical to-mography: a comparison study
N. Heuer
An adaptive boundary element method for the exterior Stokes problem
R. Celorrio, T. Hohage and F.-J. Sayas
Boundary element solution of a parbolic equation based on the Laplace transform
D. Huybrechs and S. Vandewalle
Wavenumber dependence of the wavelet method for high frequency integral equations
J. Iannelli
An Exact Kutta Condition Enforcing Boundary Integral Methods for Single- and Multi-Element Lifting-Aerofoil Aerodynamics
G. Kresin and V. Maz’ya
Best Constants in the Miranda-Agmon Inequalities for Solutions of Elliptic Systems and the Classical Maximum Modulus Principle for Fluid and Elastic Half-Spaces
N. Kuznetsov
An indefinite integral equation without irregular frequencies for the floating-body problem
S. Langdon
A Boundary Integral Method for High Frequency Acoustic Scattering in Three Dimensions
M. Lim
Boundary Layer techniques for deriving the effective properties of composite elastic materials
M. Lindner
Limit Operators and Applications
C.D. Lines and S.N. Chandler-Wilde
A Time Domain Point Source Method for Inverse Scattering by Rough Edges
A. Lukyanov
Curtain coating by high-viscosity liquids
K. Maleknejad and H. Mesgarani
Boundary Element Method for First Kind Integral Equations
E. Malsch
Smooth and linear surface interpolations applied to three dimensional boundary elements
C.M. Linton and P.A. Martin
Multiple scattering by random configurations of circular cylinders: integral equations and forests
M. McIver
Embedded trapped modes in acoustic waveguides
P. Meury and R. Hiptmair
Stable FEM-BEM coupling for Helmholtz Transmission Problems
J.M. Melenk
Boundary Concentrated FEM
S.E. Mikhailov
Analysis of Boundary-Domain Integro-Differential Problems for some Elliptic BVPs with Variable Coefficients
P. Monk
Variational Methods for Rough Surface Scattering
Y. Otani, T. Takahash and N. Nishimura
A time domain fast boundary integral equation method for three dimensional elastodynamics
E. Perrey-Debain
On the conditioning and convergence estimates of the real plane wave basis: a simple study case
S. Amini, R. Elmazuzi and S.P. Nixon
Multiwavelet Collocation for Boundary Integral Equations
A. Rap, L. Elliott, D.B. Ingham, D. Lesnic and X. Wen
Boundary element method for inverse source convection-diffusion problems
M. Rech and M. Griebel
Efficient Nearfield Cubature in the Galerkin BEM
T.S.A. Ribeiro and G. Beer
On the evaluation of Strongly Singular Domain Integrals in Elastoplasty 2D
P.E. Ricci and P. Natalini
Computation of the eigenvalues of Fredholm-Stieltjes integral equations
S. Sadov and M. Kondratieva
An approach to robust high frequency boundary integral method via symbol of DtN operator
J. Saranen and J. Anttila
The boundary element spline collacation for non-uniform meshes on torus
R. Bustinza, G. Gatica and F.-J. Sayas
Coupling BEM and LDG methods
B. Schappel
A Diffraction Problem in the Half Space: Solving the Forward and the Inverse Problem
C. Schneider
Stable quadrature rules for qualocation
R. Schneider
Shape Optimization using Wavelet BEM
V. Selgas and S. Meddahi
A mixed-FEM and BEM coupling for a three-dimensional eddy current problem
P. Serranho and R. Kress
A Hybrid Method for Two-dimensional Sound-soft Crack Reconstruction
T. Shaposhnikova
Application of Sobolev multipliers in a non-smooth Lp theory of classical boundary integral equations
V.P. Smyshlyaev
High frequency scattering of electromagnetic creeping waves by conical points
F. O. Speck
Diffraction by rectangular wedges from the viewpoint of operator theory
J. Tausch
A spectral method for integral formulations of potential and high-frequency scattering problems
M. Tezer-Sezgin, S.H. Aydin and S. Gümgüm
Dual Reciprocity Boundary Element Method Solution of Diffusion Equation
G. Vainikko
Fast solvers of periodic integral equations of the second kind
A.D. Zacharopoulos, J. Sikora and S.R. Arridge
Reconstruction of 3D region boundaries in Optical Tomography using Parametric Surfaces and BEM
N. Zerbib and A. Bendali
Application of the Fast Multipole Method and a new procedure for the Computation of CFIE Matrices to a hybrid Finite Element-Boundary Element Solution of an electromagnetic scattering problem
