EPSRC funded workshop

Boundary and finite element methods for high frequency scattering problems

Department of Mathematics and Statistics, University of Reading

15th - 16th December 2014

 

Summary: A two-day workshop bringing together mathematicians and engineers working on acoustic and electromagnetic scattering problems, to discuss recent progress in numerical methods for the solution of these problems.  There will be a particular focus on attempts to develop schemes that work well for high frequency problems, i.e. the case where the scattering obstacle is large compared to the wavelength of the incident wave.  Both theoretical and practical issues will be considered, with a key goal being to establish a better understanding of how recent theoretical progress may potentially be able to benefit more practical work.  This will be achieved via showcasing recent developments and by building links between mathematicians and engineers, potentially leading to future collaborative efforts.  There will be a large focus on boundary element methods, but domain based methods will also be discussed.

 

Confirmed participants:

 

Anthony Baran (Met Office)

David Levadoux (Onera)

Timo Betcke (UCL)

Nick Biggs (Reading)

Simone Mancini (ISVR, Southampton)

Steffen Marburg (Munich)

Simon Chandler-Wilde (Reading)

Paul Childs (Schlumberger)

Andrew Gibbs (Reading)

Andrea Moiola (Reading)

Emmanuel Perrey-Debain (Compeigne)

Peter Opsomer (Leuven)

Ivan Graham (Bath)

Nicolas Salles (UCL)

Samuel Groth (Reading)

Eric Schetzke (Reading)

Jonathan Hargreaves (Salford)

Charlotta Howarth (Reading)

David Hewett (Oxford)

Daan Huybrechs (Leuven)

Nikos Katzourakis (Reading)

Mikael Slevinsky (Oxford)

Valery Smyshlyaev (UCL)

Niels Sondergaard (Nottingham Trent)

Euan Spence (Bath)

Peter Svensson (Trondheim)

Yiu Lam (Salford)

Jon Trevelyan (Durham)

Stephen Langdon (Reading)

Chris Westbrook (Reading)

 

 

Format: 1.5 day workshop, comprising talks, structured discussion sessions and informal networking. Lunches and tea/coffee will be provided and there will be a workshop dinner.

 

Date: Monday 15th - Tuesday 16th December 2014. The workshop will start at lunchtime on 15th and close at around 4.30pm on 16th. See below for the programme.

 

Venue: Registration, lunches, and tea/coffee breaks will take place in room 112 in the Department of Mathematics and Statistics, Whiteknights Campus, University of Reading, Reading RG6 6AX, UK.  Talks will take place in room 113.  For directions and a map of the Whiteknights campus see http://www.reading.ac.uk/about/find/about-findindex.aspx.

 

Accommodation: Overnight accommodation will be provided in The Cedars Hotel at the University of Reading.  See http://www.reading.ac.uk/venue-reading/Sleep/vr-cedars-hotel.aspx for details, including a map and guest arrival information.

 

 

Programme:

 

Mon 15th

 

1300-1400

Lunch and registration

1400-1430

Stephen Langdon and Jon Hargreaves: Welcome and introduction

1430-1530

David Hewett, Andrew Gibbs, Samuel Groth and Stephen Langdon: Hybrid numerical asymptotic boundary element methods for high frequency scattering problems

1530-1600

Tea/coffee

1600-1630

Steffen Marburg: Limitations of conventional BEM and sensibility to extend them

1630-1700

Jon Trevelyan: Some studies on PUBEM for wave scattering problems involving smooth scatterers

1700-1730

 

1730-1830

Ivan Graham: Efficient iterative methods for solving the Helmholtz equation, 
discretised by finite elements

Tea/coffee/discussion: BEM for acoustics - practical requirements (chair: Yiu Lam)

1830-1900

Free time

1900

Workshop dinner

 

Tues 16th

0930-1000

Euan Spence: Conditioning of boundary integral operators at high frequency: a more-or-less complete picture for the Dirichlet problem

1000-1030

David Levadoux: Towards an industrialisation of a new kind of regularized 
integral equations for time-harmonic boundary/transmission problems of electromagnetism

1030-1100

 

1100-1130

Daan Huybrechs: Phase extraction without phase extraction: asymptotic compression of dense BEM matrices

Tea/coffee

1130-1200

Jon Hargreaves: An order-k integration method for high frequency BEM in 3D

1200-1230

Peter Svensson: The edge source integral equation, and the slope diffraction problem

1230-1300

 

1300-1400

Simone Mancini: Limitations of the variable transformation methods for the prediction of noise propagation in presence of a base flow by means of BEM: a numerical investigation

Lunch

1400-1430

Timo Betcke: Exponentially accurate evaluation of convolution quadrature schemes for the wave equation

1430-1500

1500-1530

Emmanuel Perrey-Debain: Recent developments of the PUFEM for acoustic and poroelastic waves

Andrea Moiola: Trefftz-discontinuous Galerkin methods: exponential convergence of the hp version

1530-1630

1630

Tea/coffee/discussion: Potential future collaboration and joint funding opportunities

End

 

 

Acknowledgements: The organisers are grateful to EPSRC for providing funding for this workshop, via grant EP/K000012/1.

 

Webpage: http://www.personal.reading.ac.uk/~sms03sl/HFBEMworkshop.htm

 

Contact: Steve Langdon (s.langdon@reading.ac.uk)