Massively parallel computation for acoustical scattering problems using boundary element methods

Journal of Sound and Vibration

Volumn 191, Issue 1, 1996, Pages 145-165

  Geng, P ^a   Oden, J T ^a   Van De Geijn, R A ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING;

ACOUSTICAL SCATTERING PROBLEMS; MASSIVELY PARALLEL COMPUTATION;

ACOUSTIC WAVE SCATTERING;

EID: 0030108429     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0111     Document Type: Article

References (19)

1. L. DEMKOWICZ, J. T. ODEN, M. AINSWORTH and P. GENG 1991 Journal of Computational and Applied Mathematics 36, 29-63. Solution of elastic scattering problems in linear acoustics using h-p boundary element methods.
2. A. KARAFIAT, J. T. ODEN and P. GENG 1993 International Journal of Engineering Sciences 31, 649-672. Variational formulations and hp-boundary element approximation of hypersingular integral equations for Helmholtz-exterior boundary-value problems in two dimensions.
3. T. CWIK, R. A. VAN DE GEIJN and J. PATTERSON 1994 Journal of the Optical Society of America 11, 1538-1545. Application of massively parallel computation to integral equation models of electromagnetic scattering.
4. J. DONGARRA, R. A. VAN DE GEIJN and D. WALKER 1994 Journal of Parallel and Distributed Computing 22, 523-537. Scalability issues affecting the design of a dense linear algebra library.
5. R. A. VAN DE GEIJN 1992 Massively parallel LINPACK benchmark on the Intel Touchstone DELTA and IPSC/860 systems. Austin, Texas, Department of Computing Science, University of Texas.
6. A. J. BURTON and G. F. MILLER 1971 Proceedings Royal Society, A 323, 201-210. The application of integral equation methods to the numerical solution of some exterior boundary-value problems.
7. D. S. JONES 1989 Quality Journal of Mechanics and Applied Mathematics 44, 129-142. Integral equations for exterior acoustic problem.
8. I. O. PANICH 1965 Russian Mathematical Survey 20, 221-226. On the question of solvability of the exterior boundary value problems for the wave equation and Maxwell's equations.
9. A. H. SCHENCK 1967 Journal of Acoustical Society of America 44, 41-58. Improved integral formulation of acoustic radiation problems.
10. F. URSELL 1973 Math. Proceedings Cambridge Philosophical Society 74, 117-125. On the exterior problems of acoustics.
11. F. URSELL 1978 Math. Proceedings Cambridge Philosophical Society 84, 545-548. On the exterior problems of acoustics II.
12. H. R. KUTT 1975 Report WISK 179. On the numerical evaluation of finite part integrals involving an algebraic singularity. Pretoria: The National Research Institute for Mathematical Sciences.
13. L. DEMKOWICZ, A. KARAFIAT and J. T. ODEN 1992 Computer Methods in Applied Mechanics and Engineering 101, 251-282. Solution of elastic scattering problems in linear acoustics using h-p boundary element methods.
14. A. W. MAUE 1949 Zeitschrift der Physik 126, 601-618. Zur Formulierung eines allgemeinen Beugungsproblems durch eine Integralgleichung.
15. K. M. MITZNER 1952 Journal of Mathematical Physics 7, 2053-2060. Acoustic scattering from an interface between media of greatly different density.
16. J. DONGARRA, J. BUNCH, C. MOLER and G. W. STEWART 1970 LINPACK user's guide. Philadelphia: SIAM.
17. M. C. JUNGER and D. FEIT 1972 Sound, structures, and their interaction. Cambridge, Massachusetts: The MIT Press.
18. E. ANDERSON, Z. BAI, J. DEMMEL, J. DONGARRA, J. DUCROZ, A. GREENHAUM, S. HAMMARLING, A. MCKENNEY, S. OSTROUCHOV and D. SORENSEN 1992 LAPACK user's guide Philadelphia: SIAM.
19. W. H. PRESS, S. A. TEUKOLSKY, W. T. VETTERLING and B. P. FLANNERY 1992 Numerical Recipies in Fortran. New York: Cambridge University Press, second edition.