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Time Domain BEM Based on Generalised Convolution Quadrature
Author(s) -
Diao Hanzhi
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710346
Subject(s) - quadrature (astronomy) , convolution (computer science) , boundary element method , bounded function , overlap–add method , time domain , boundary (topology) , domain (mathematical analysis) , mathematical analysis , mathematics , integral equation , computer science , physics , finite element method , electronic engineering , engineering , fourier transform , fourier analysis , machine learning , artificial neural network , fractional fourier transform , computer vision , thermodynamics
We present the application of the generalised convolution quadrature (gCQ) technique to the time domain boundary element method (BEM) which solves the retarded potential boundary integral equation (RPBIE). Our result allows to employ the multi‐stage Runge‐Kutta method as the time stepping scheme for the generalised convolution quadrature which is used in the time domain BEM for acoustic problems in either a bounded three‐dimensional domain or in its unbounded exterior. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)