Israil, A. S. M.; Banerjee, P. K. 2-D transient interior flux by time-domain boundary-element method. (English) Zbl 0736.76033 Commun. Appl. Numer. Methods 7, No. 5, 411-420 (1991). Summary: In this paper, interior flux calculations for two-dimensional transient scalar wave propagation are developed and presented for the first time in the \(BEM\) literature. There are some severe analytical difficulties in the derivation of these kernels which have been circumvented through physical interpretation. Moreover, an apparent singularity at the wave- front of these kernels has been reduced to an integrable one through some condensation. These kernels have been implemented in the time-domain \(BEM\) algorithm with linear temporal variation and quadratic spatial variation for the field variables. Some numerical examples are presented to demonstrate the accuracy of the implementation. MSC: 76M15 Boundary element methods applied to problems in fluid mechanics 45K05 Integro-partial differential equations 76Q05 Hydro- and aero-acoustics Keywords:interior flux; transient scalar wave propagation; kernels; time-domain \(BEM\) algorithm PDFBibTeX XMLCite \textit{A. S. M. Israil} and \textit{P. K. Banerjee}, Commun. Appl. Numer. Methods 7, No. 5, 411--420 (1991; Zbl 0736.76033) Full Text: DOI References: [1] ’A time-stepping technique to solve wave propagation problems using the boundary element method,’ Ph.D. thesis. Southampton University, (1983). [2] Israil, Int. j. numer. methods eng. 29 pp 1003– (1990) [3] and , Boundary Element Method in Engineering Science, McGraw-Hill, London and New York, (1981). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.