Mansur, W. J.; Brebbia, C. A. Formulation of the boundary element method for transient problems governed by the scalar wave equation. (English) Zbl 0488.65058 Appl. Math. Modelling 6, 307-311 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 30 Documents MSC: 65N35 Spectral, collocation and related methods for boundary value problems involving PDEs 35L05 Wave equation 35C15 Integral representations of solutions to PDEs Keywords:boundary element method; transient problems; scalar wave equation; two- dimensional case; wave propagation PDFBibTeX XMLCite \textit{W. J. Mansur} and \textit{C. A. Brebbia}, Appl. Math. Modelling 6, 307--311 (1982; Zbl 0488.65058) Full Text: DOI References: [1] Brebbia, C. A., The boundary element method for engineers (1978), Pentech Press: Pentech Press London, Halstead Press, USA · Zbl 0414.65060 [2] Brebbia, C. A.; Walker, S., Boundary element techniques in engineering (1979), Butterworths: Butterworths London · Zbl 0444.73065 [3] Brebbia, C. A., Introductory remarks, (Brebbia, C. A., Boundary element methods (1981), Springer-Verlag: Springer-Verlag London) · Zbl 0780.73002 [4] Cruse, T. A.; Rizzo, F. J., J. Math. Anal. Applic., 22, 244 (1968) [5] Cruse, T. A., J. Math. Anal. Applic., 22, 341 (1968) [6] Papoulis, A., Q. Appl. Math., 14, 4 (1957) [7] Manolis, O. D.; Beskos, D. E., Int. J. Num. Meth. Eng., 17, 573 (1981) [8] Durbin, F., Computer J., 17, 371 (1974) [9] Alarcon, E., Elastodynamics, (Progress in boundary elements, Vol. 1 (1981), Pentech Press: Pentech Press Berlin), and Halstead Press, New York [10] Groenenboom, P. H.L., The application of boundary elements to steady and unsteady potential flow problems in two- and three-dimensional problems, (Brebbia, C. A., Boundary element methods (1981), Springer Verlag: Springer Verlag London) · Zbl 0467.76067 [11] Cole, D. M., Bull. Seism. Soc. Amer., 68, 1331 (1978) [12] Kellogg, O. D., Foundations of potential theory (1953), Dover: Dover Berlin · Zbl 0053.07301 [13] Morse, P. M.; Feshbach, H., Methods of theoretical physics (1953), McGraw-Hill: McGraw-Hill New York · Zbl 0051.40603 [14] Erigen, A. C.; Suhubi, E. S., (Elastodynamics, Vol. II (1975), Linear theory: Linear theory London), Academic Press, London [15] Love, A. E.H., A treatise on the mathematical theory of elasticity, ((1927), Dover Publications) · Zbl 0063.03651 [16] Mitzner, R. M., J. Acoust. Soc. Amer., 42, 391 (1967) 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.