# Boundary Integral Equations Analysis and Computation

*27 - 29 May 2014*

*ICMS, 15 South College Street Edinburgh*

#### Scientific Organisers:

**Lehel Banjai**, Heriot-Watt University**Penny Davies**, Strathclyde University**Dugald Duncan**, Heriot-Watt University-
**Heiko Gimperlein**, Heriot-Watt University

Numerical methods based on boundary integral equations are powerful tools in a number of engineering applications, in particular in problems posed in unbounded domains. In recent years ground-breaking work has been done on high-frequency problems, on time-domain boundary integral equations, stochastic integral equations, etc. The resulting numerical methods are usually intrinsically highly accurate, but require deep analysis, refined algorithms, and the power of high performance computing to make them competitive in applications.

#### Objectives:

To foster mathematical and computational research on boundary integral operators for elliptic and hyperbolic PDE

To expose academic research in algorithm development and analysis to interested parties outside academia

To enhance interactions between mathematicians and practitioners

To promote collaboration between academics

#### Speakers:

**Maria Lopez Fernandez,**University of Zurich*- Runge-Kutta Generalized Convolution Quadrature***Martin Schanz,**Graz University of Technology*- Convolution Quadrature Based BEM in Elastodynamics: Efficient Computation of the Integration Weights***Toufic Abboud,**IMACS*- Applications of Retarded Potentials***Jon Trevelyan,**Durham University*- Enrichment of Boundary Element Computations Using Non-Polynomial Functions***Ivan Graham,**University of Bath*- When Is the Error in the H BEM for Solving the Helmholtz Equation Bounded Independently of K?***Olaf Steinbach**, TU Graz*- Schur Complement Preconditioners for the Biharmonic Dirichlet Boundary Value Problem***Matthias Maischak,**Brunel University*- Exact and Numerical Quadrature in 3d BEM, New Developments***Ralf Hiptmair,**ETH Zurich*- Operator Preconditioning for BEM on Curves***Jens Melenk,**Vienna University of Technology*- Convolution Quadrature for the Schrodinger Equation***Heiko Gimperlein,**Heriot Watt University*- Residual A Posteriori Error Estimates for TDBEM II***Stephen Langdon -**University of Reading*- Boundary Element Methods for High Frequency Scattering by Screens***Isabelle Terrasse,**Airbus Group*- Applications of Accelerated BEM in Aeronautics***Ernst Stephan,**Leibniz Universität Hannover*- Residual a Posteriori Error Estimates for TDBEM***Simon Chandler-Wilde,**University of Reading*- Boundary Integral Equations on Fractals and Pre-Fractals***Stefan Sauter,**University of Zurich*- Adaptive Time Discretization for Retarded Potentials***Nicolas Salles,**University College London*- Exponentially Convergent Convolution Quadrature Schemes for Time-Domain Problems***Alexey Chernov,**University of Reading*- Space-Time Galerkin BEM for the Heat Equation***Francisco-Javier Sayas,**University of Delaware*- Acoustic Transmission Problem in the Time Domain***Peter Monk,**University of Delaware*- Time Domain Volume Integral Equations and Convolution Quadrature*

**This workshop is sponsored by the Centre for Numerical Algorithms and Intelligent Software. **

### Participants

Name | Institution |
---|---|

Toufic, Abboud | IMACS |

Janis, Bajars | University of Edinburgh |

Lehel, Banjai | Heriot-Watt University |

Hermann, Brunner | Hong Kong Baptist University |

Simon, Chandler-Wilde | University of Reading |

Alexey, Chernov | University of Reading |

Konstantinos, Christodoulou | Heriot Watt University |

Kristof, Cools | University of Nottingham |

Penny, Davies | University of Strathclyde |

Kamilis, Dimitris | University of Edinburgh |

Mayank, Drolia | Heriot Watt University |

Dugald, Duncan | Heriot-Watt University |

Maria, Fernandez | University of Zurich |

Heiko, Gimperlein | Heriot-Watt University/University of Paderborn |

Ivan, Graham | University of Bath |

David, Hewett | University of Oxford |

Ralf, Hiptmair | ETH Zurich |

Hatice, Kursungecmez | University of Edinburgh |

Stephen, Langdon | University of Reading |

Mohammed , Mahmood | Heriot-Watt university |

Matthias, Maischak | Brunel University |

Jens, Melenk | Vienna University of Technology |

M Shadi, Mohamed | Heriot Watt University |

Peter, Monk | University of Delaware |

Laghrouche, Omar | Heriot-Watt University |

Nicolas, SALLES | University College London |

Stefan, Sauter | University of Zurich |

Francisco-Javier, Sayas | University of Delaware |

Martin, Schanz | Graz University of Technology |

Euan, Spence | University of Bath |

Olaf, Steinbach | Institute of Computational Mathematics, TU Graz |

Ernst, Stephan | Leibniz Universität Hannover, Institute for Applied Mathematics |

Isabelle, Terrasse | Airbus Group |

Jon, Trevelyan | Durham University |

Michael, Tsardakas | Heriot-Watt University |

Elwin, van 't Wout | University College London |

Heather, Yorston | University of Strathclyde |