✦ LIBER ✦

A convolution quadrature Galerkin boundary element method for the exterior Neumann problem of the wave equation

✍ Scribed by D. J. Chappell

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 219 KB
Volume: 32
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1111

No coin nor oath required. For personal study only.

✦ Synopsis

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. Copyright © 2009 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Development of a fundamental-solution-le

Development of a fundamental-solution-less boundary element method for exterior wave problems

✍ Song, Chongmin ;Bazyar, Mohammad Hossein 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 250 KB 👁 1 views

## Abstract A fundamental‐solution‐less boundary element method, the scaled boundary finite‐element method, has been developed recently for exterior wave problems. In this method, only the boundary is discretized yielding a reduction of the spatial dimension by one, but no fundamental solution is n

The decay of solutions of the exterior i

The decay of solutions of the exterior initial-boundary value problem for the wave equation

✍ Cathleen S. Morawetz 📂 Article 📅 1961 🏛 John Wiley and Sons 🌐 English ⚖ 310 KB 👁 2 views

A parallel multipolar indirect boundary

A parallel multipolar indirect boundary element method for the Neumann interior Stokes flow problem

✍ J. E. Gómez; H. Power 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 421 KB 👁 3 views

A multipolar expansion technique is applied to the indirect formulation of the boundary element method in order to solve the two-dimensional internal Stokes ow second kind boundary value problems. The algorithm is based on a multipolar expansion for the far ÿeld and numerical evaluation for the near

A mixed finite element formulation for t

A mixed finite element formulation for the boundary controllability of the wave equation

✍ R. Glowinski; W. Kinton; M. F. Wheeler 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 349 KB 👁 1 views

An appropriate quadrature rule for the a

An appropriate quadrature rule for the analysis of plane crack problems in the boundary-element method

✍ Theotokoglou, E. E. ;Tsamasphyros, G. 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 88 KB 👁 2 views

## Abstract An hypersingular integral equation of a three‐dimensional elastic solid with an embedded planar crack subjected to a uniform stress field at infinity is derived. The solution of the boundary‐integral equation is succeeded taking into consideration an appropriate Gauss quadrature rule fo

Preconditioners for the p-version of the

Preconditioners for the p-version of the Galerkin method for a coupled finite element/boundary element system

✍ Norbert Heuer; Ernst P. Stephan 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 240 KB 👁 3 views

We propose and analyze efficient preconditioners for solving systems of equations arising from the p-version for the finite element/boundary element coupling. The first preconditioner amounts to a block Jacobi method, whereas the second one is partly given by diagonal scaling. We use the generalized