Free Access
Issue
ESAIM: M2AN
Volume 28, Number 2, 1994
Page(s) 141 - 176
DOI https://doi.org/10.1051/m2an/1994280201411
Published online 31 January 2017
  1. A. BAMBERGER and T. HA DUONG, 1986, Formulation variationnelle espace-temps pour le calcul par potentiel retardé d'une onde acoustique, Math. Methods Appl. Sci., 8, 405-435. [MR: 859833] [Zbl: 0618.35069] [Google Scholar]
  2. A. BAMBERGER and T. HA DUONG, 1986, Formulation variationnelle espace-temps pour le calcul par potentiel retardé d'une onde acoustique; Problème de Neumann, Math. Methods Appl. Sci., 8, 598-608. [MR: 870995] [Zbl: 0636.65119] [Google Scholar]
  3. A. BAMBERGER, 1983, Approximation de la diffraction d'ondes élastiques, une nouvelle approche (I), (II), (III), Technical report, École Polytechnique, CMAP, Rapports Internes n° 91, 96, 98. [Zbl: 0571.73020] [Google Scholar]
  4. E. BÉCACHE, 1991, Résolution par une méthode d'équations intégrales d'un problème de diffraction d'ondes élastiques transitoires par une fissure. PhD thesis, Université de Paris 6. Thèse. [Google Scholar]
  5. E. BÉCACHE, 1993, A Variational Boundary Integral Equation Method for an Elastodynamic Antiplane Crack, Int. J. for Numerical Meth. in Eng., 36, 969-984 [MR: 1208455] [Zbl: 0772.73088] [Google Scholar]
  6. E. BÉCACHE, J.-C. NÉDÉLEC, N. NISHIMURA, 1993, Regularization in 3D for Anisotropic Elastodynamic Crack and Obstacle Problems, J. of Elasticity, 31, 25-46. [MR: 1221204] [Zbl: 0773.73029] [Google Scholar]
  7. D. E. BESKOS, 1987, Boundary elements methods in dynamic analysis, Appl. Mech. Rev., 40, 1-23. [Google Scholar]
  8. M. BONNET, 1986, Méthode des équations intégrales régularisées en élastodynamyque, PhD thesis, ENPC, Thèse. [MR: 884382] [Zbl: 0612.73083] [Google Scholar]
  9. H. D. BUI, 1977, An intgral equations method for sol ving the problems of a plane crack of arbitrary shape, J. Mech. Phys. Solids, 25, 29-39. [MR: 443528] [Zbl: 0355.73074] [Google Scholar]
  10. P. CORTEY-DUMONT, 1984, Simulation Numérique de Problèmes de Diffraction d'Ondes par une Fisure, PhD thesis, Université Paris VI, Thèse d'État. [Google Scholar]
  11. R. DAUTRAY and J. L. LIONS, 1985, Analyse Mathématique et Calcul Numérique pour les Sciences et les Techniques, vol. 2. Masson. [Zbl: 0642.35001] [Google Scholar]
  12. T. HA DUONG, 1990, On the transient acoustic scattering by a flat object, Japan J. Appl. Math., 7, 489-513. [MR: 1076300] [Zbl: 0719.35063] [Google Scholar]
  13. T. HA DUONG, 1992, On the boundary integral equations for the crack opening displacement of flat cracks, Integr. Equat. Oper. Th., 15, 427-453. [MR: 1155713] [Zbl: 0753.45005] [Google Scholar]
  14. V. A. KONDRAT'EV and O. A. OLEINIK, 1988, Boundary-value problems for the System of elasticity theory in unbounded domains. Korn's inequalities, Russian Math. Surveys, 43, 65-119. [MR: 971465] [Zbl: 0669.73005] [Google Scholar]
  15. G. KRISHNASAMY, F. J. RIZZO and T. J. RUDOLPHI, 1991, Hypersingular boundary integral equations : Their occurrence interpretation, regularization and computation. In P. K. Banerjee and S. Kobayashi, editors, Developments in Boundary Element Methods, vol. 7 ; Advanced Dynamic Analysis, Elsevier Applied Science Publishers. [Google Scholar]
  16. J. L. LIONS and E. MAGENES, 1968, Problèmes aux limites non homogènes et Applicaitons, vol. l, Dunod. [Zbl: 0165.10801] [Google Scholar]
  17. Ch. LUBICH, On multistep time discretization of linear initial-boundary value problems and their boundary integral equations, submitted to Numerische Mathematik. [Zbl: 0795.65063] [Google Scholar]
  18. P. A. MARTIN and F. J. RIZZO, 1989, On boundary integral equations for crack problems, Proc. Roy. Soc. London A, 421, 341-355. [MR: 985268] [Zbl: 0674.73071] [Google Scholar]
  19. J. C. NÉDÉLEC, 1982, Intégral Equations with non Integrable Kernels, Intégral Equations and Operator Theory, 5, 562-572. [MR: 665149] [Zbl: 0479.65060] [Google Scholar]
  20. J. C. NÉDÉLEC, 1983, Le Potentiel de Double Couche pour les Ondes Élastique, Internal report n° 99, C.M.A.P., École Polytechnique. [Google Scholar]
  21. N. NISHIMURA, Q. C. GUO, S. KOBAYASHI, 1987, Boundary Integral Equation Methods in Elastodynamic Crack Problems, In Brebbia, Wendland, and Kuhn, editors, Proc. 9th Int. Conf. BEM, vol. 2 : Stress Analysis Applications, pp. 279-291. Springer-Verlag. [Google Scholar]
  22. N. NISHIMURA and S. KOBAYASHI, 1989, A regularized boundary integral equation method for elastodynamic crack problems, Computat. Mech., 4, 319-328. [Zbl: 0675.73065] [Google Scholar]
  23. J. A. NITSCHE, 1981, On Korn's second inequality, RAIRO, Analyse numérique, 15, 237-248. [EuDML: 193380] [MR: 631678] [Zbl: 0467.35019] [Google Scholar]
  24. V. SLADEK and J. SLADEK, 1984, Transient elastodynamic three-dimensional problems in cracked bodies, Appl. Math. Model, 8, 2-10. [MR: 734034] [Zbl: 0525.73110] [Google Scholar]
  25. I. N. SNEDDON and M. LOWENGRUB, Crack Problems in the Classical Theory of Elasticity, John Wiley and Sons. [MR: 258339] [Zbl: 0201.26702] [Google Scholar]
  26. E. P. STEPHAN, 1986, A Boundary Integral Equation Method for Three-Dimensional Crack Problem in Elasticity, Math. Meth. in the Appl. Sci., 8, 609-623. [MR: 870996] [Zbl: 0608.73097] [Google Scholar]
  27. E. P. STEPHAN, 1987, Boundary Integral Equation for screen problem in R3 Integral Eq. and Oper. Theory, 10, 263. [Zbl: 0653.35016] [Google Scholar]
  28. TREVES, 1975, Basic Linear Partial Differential Equations, Academic Press. [Zbl: 0305.35001] [Google Scholar]

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