Stability Analysis of Model Problems for Elastodynamic Boundary Element Discretizations

Numerical Methods for Partial Differential Equations

Volumn 12, Issue 5, 1996, Pages 585-613

  Peirce, A ^a   Siebrits, E ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b DOW CHEMICAL COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010795088     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2426(199609)12:5<585::AID-NUM4>3.0.CO;2-G     Document Type: Article

References (19)

1. D. J. Andrews, "Dynamic growth of mixed-mode shear cracks," Bull. Seism. Soc. Am. 84, 1184 (1994).
2. M. G. Mack, "A three-dimensional boundary element method for elastodynamics," Ph. D. Thesis, University of Minnesota, 1991.
3. E. Siebrits, "Two-dimensional time domain elastodynamic displacement discontinuity method with mining applications," Ph. D. Thesis, University of Minnesota, 1992.
4. Y. Tian, "Boundary element method in elastodynamics," Ph. D. Thesis, University of Minnesota, 1990.
5. M. C. Loken, "A three-dimensional boundary element method for linear elastodynamics," Ph. D. Thesis, University of Minnesota, 1992.
6. J. Dominguez, Boundary elements in dynamics, Computational Mechanics Publications, Southampton, (1993).
7. H. L. Selberg, "Transient compression waves from spherical and cylindrical cavities," Arkiv for Fysik 5, 97 (1951).
8. M. G. Koller, M. Bonnet, and R. Madariaga, "Modelling of dynamical crack propagation using time-domain boundary integrals," Wave Motion 16, 339 (1992).
9. A. P. Peirce and E. Siebrits, "Stability analysis and design of time-stepping schemes for general elastodynamic boundary element models," Int. J. Num. Meth. Eng., to appear.
10. S. Kobayashi, "Fundamentals of boundary integral equation methods in elastodynamics," in Topics in boundary element research, vol. 2: Time-dependent and vibration problems, Brebbia, Ed., Springer-Verlag, New York, p. 1, 1985.
11. P. K. Banerjee, S. Ahmad, and G. D. Manolis, "Advanced elastodynamic analysis," in Boundary Element Methods in Mechanics, Beskos, Ed., Elsevier Science Publishers B.V., Amsterdam, p. 258, 1987.
12. A. C. Eringen and E. S. Suhubi, Elastodynamics: Volume II Linear Theory, Academic Press, New York, 1975.
13. C. T. H. Baker, Numerical Treatment of Integral Equations, Oxford University Press, Oxford (1977).
14. C. T. H. Baker and N. J. Ford, "Some applications of the boundary-locus method and the method of D-partitions," IMA J. Num. Anal. 11, 143 (1991).
15. E. I. Jury, Theory and Application of the z-Transform Method, Krieger, Florida, 1986.
16. K. Ogata, Discrete-Time Control Systems, Prentice-Hall, New Jersey, 1987.
17. L. Sirovich, Introduction to Applied Mathematics, Springer-Verlag, New York, 1988.
18. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes, 2nd Ed, Cambridge University Press, New York, 1992.
19. A. P. Peirce, S. Spottiswoode, and J. A. L. Napier, "The spectral boundary element method: a new window on boundary elements in rock mechanics," Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 29, 379 (1992).