### Abstract

The numerical solution of the Neumann problem of the wave equation on unbounded three-dimensional domains is calculated using the convolution quadrature method for the time discretization and a Galerkin boundary element method for the spatial discretization. The mathematical analysis that has been built up for the Dirichlet problem is extended and developed for the Neumann problem, which is important for many modelling applications. Numerical examples are then presented for one of these applications, modelling transient acoustic radiation.

Original language | English |
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Title of host publication | Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering |

Pages | 103-113 |

Number of pages | 11 |

Publication status | Published - 2010 |

Event | Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering - Santander, Spain Duration: 1 Jan 2010 → … |

### Conference

Conference | Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering |
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Period | 1/01/10 → … |

### Keywords

- integral equations
- wave equation
- convolution quadrature
- boundary element method

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## Cite this

Chappell, D. (2010). Convolution quadrature Galerkin method for the exterior Neumann problem of wave equation. In

*Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering*(pp. 103-113) http://www.springer.com/birkhauser/mathematics/book/978-0-8176-4896-1