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**Harvard**

Natsiopoulos, G. (2005) *The Boundary Element Method With Finite Differences in Time*. Göteborg : Chalmers University of Technology (Report - Department of Civil and Environmental Engineering, Chalmers University of Technology, nr: 4).

** BibTeX **

@techreport{

Natsiopoulos2005,

author={Natsiopoulos, Georgios},

title={The Boundary Element Method With Finite Differences in Time},

abstract={This report deals with the formulation and calculation of boundary element methods (BEM) in the time domain. One of the greatest advantages with BEM is that only the boundary of the room has to be discretized instead of the whole enclosed volume. This will usually decrease the calculation time significantly, but the problems with BEM are instead that the integrals on the boundary become more singular, since more information has to be concentrated on a smaller domain (the boundary instead of the volume). This means that the method becomes quite sensitive to numerical evaluation of integrals etc. In this report BEM is formulated and analyzed for acoustic scattering in the time domain, followed by a numerical example that investigates the stability of the method.
},

publisher={Chalmers University of Technology},

place={Göteborg},

year={2005},

series={Report - Department of Civil and Environmental Engineering, Chalmers University of Technology, no: 4},

keywords={BEM, scattering, acoustics, time domain, energy conservation, hypersingular, spatial and temporal discretization, Greens function, quiescent past, explicit interpolation, marching on in time},

note={77},

}

** RefWorks **

RT Report

SR Print

ID 9802

A1 Natsiopoulos, Georgios

T1 The Boundary Element Method With Finite Differences in Time

YR 2005

AB This report deals with the formulation and calculation of boundary element methods (BEM) in the time domain. One of the greatest advantages with BEM is that only the boundary of the room has to be discretized instead of the whole enclosed volume. This will usually decrease the calculation time significantly, but the problems with BEM are instead that the integrals on the boundary become more singular, since more information has to be concentrated on a smaller domain (the boundary instead of the volume). This means that the method becomes quite sensitive to numerical evaluation of integrals etc. In this report BEM is formulated and analyzed for acoustic scattering in the time domain, followed by a numerical example that investigates the stability of the method.

PB Chalmers University of Technology

T3 Report - Department of Civil and Environmental Engineering, Chalmers University of Technology, no: 4

LA eng

OL 30