Free Access
Issue
ESAIM: M2AN
Volume 27, Number 4, 1993
Page(s) 457 - 480
DOI https://doi.org/10.1051/m2an/1993270404571
Published online 31 January 2017
  1. I. BABUŠKA and A. K. Aziz, Survey lectures on the mathematicalformulation ofthe finite element method, in The Mathematical Foundation of the Finite Element Method (A. K. Aziz, ed.) Academic Press, New York, 1972, pp. 3-359. [MR: 421106] [Zbl: 0268.65052] [Google Scholar]
  2. M. COSTABEL, Boundary integral operators on Lipschitz domains : Elementary results, SIAM J. Math. Anal. 19, 1988, pp. 613-626. [MR: 937473] [Zbl: 0644.35037] [Google Scholar]
  3. R. DAUTRAY and J.L. LIONS, Mathematical Analysis and Numerical Methods for Science and Technology, Vol. 4, Integral Equations and Numerical Methods, Springer, Berlin, 1990. [Zbl: 0784.73001] [MR: 1081946] [Google Scholar]
  4. G. DUVAUT and J. L. LIONS, Inequalities in Mechanics and Physics, Springer, Berlin, 1976. [MR: 521262] [Zbl: 0331.35002] [Google Scholar]
  5. J. ELSCHNER, On spline approximation for a class of integral equations, I : Galerkin and collocation methods with piecewise polynomials, Math. Methods in the Applied Sciences 10, 1988, pp. 543-559. [MR: 965421] [Zbl: 0662.65112] [Google Scholar]
  6. H. ENGELS, Numerical Quadrature and Cubature, Academic Press, New York, 1980. [MR: 587486] [Zbl: 0435.65013] [Google Scholar]
  7. G. I. ÈSKIN, Boundary Value Problems for Elliptic Pseudodifferential Equations, Translations of Mathematical Monographs, Vol. 52, American Mathematical Society, Providence, 1981. [MR: 623608] [Zbl: 0458.35002] [Google Scholar]
  8. G. FICHERA, Boundary value problems of elasticity with unilateral constraints, in Handbuch der Physik - Encyclopedia of Physics, Band VI a/2 Festkörper-mechanikll, Springer, Berlin, 1972, pp. 391-424. [Google Scholar]
  9. R. GLOWINSKI, Numerical Methods for Nonlinear Variational Problems, Springer, New York, 1984. [MR: 737005] [Zbl: 0536.65054] [Google Scholar]
  10. R. GLOWINSKI, J. L. LIONS and R. TRÉMOLIÈRES, Numerical Analysis ofVariational Inequalities, North-Holland, Amsterdam, 1981. [MR: 635927] [Zbl: 0463.65046] [Google Scholar]
  11. P. GRISVARD, Elliptic Problems in Nonsmooth Domains, Pitman, Boston, 1985. [MR: 775683] [Zbl: 0695.35060] [Google Scholar]
  12. J. GWINNER, Discretization of semicoercive variational inequalities, Aequationes Mathematicae 42, 1991, pp. 72-79. [EuDML: 137419] [MR: 1112184] [Zbl: 0739.65058] [Google Scholar]
  13. G. HÄMMERLIN and K. H. HOFFMANN, Numerische Mathematik, Springer, 1989. [MR: 1305149] [Zbl: 0669.65001] [Google Scholar]
  14. H. HAN, A direct boundary element method for Signorini problems, Math. Computation 55, 1990, pp.115-128. [MR: 1023048] [Zbl: 0705.65084] [Google Scholar]
  15. I. HLAVAČEK, J. HASLINGER, J. NEČAS and J. LOVIŠEK, Solution of Variational Inequalities in Mechanics, Springer, Berlin, 1988. [MR: 952855] [Zbl: 0654.73019] [Google Scholar]
  16. I. HLAVAČEK and J. LOVIŠEK, A finite element analysis for the Signorini problem in plane elastostatics, Aplikace Mat. 22, 1977, pp. 215-228. [EuDML: 15006] [MR: 446014] [Zbl: 0369.65031] [Google Scholar]
  17. G. C. HSIAO, E. P. STEPHAN, W. L. WENDLAND, On the Dirichlet problem in elasticity for a domain exterior to an arc, J. Computational Appl. Mathematics 34, 1991, pp. 1-19. [MR: 1095192] [Zbl: 0742.73026] [Google Scholar]
  18. N. KIKUCHI and J. T. ODEN, Contact Problems in Elasticity : a Study ofariational Inequalities and Finite Element Methods, SIAM, Philadelphia, 1988. [MR: 961258] [Zbl: 0685.73002] [Google Scholar]
  19. V.A. KONDRATIEV and O.A. OLEINIK, On Korn's inequalities, C.R. Acad. Sci. Paris I 308, 1989, pp. 483-487. [MR: 995908] [Zbl: 0698.35067] [Google Scholar]
  20. V. D. KUPRADZE, Potential Methods in the Theory of Elasticity, Israël Program for Scientific Translations, Jerusalem, 1965. [MR: 223128] [Zbl: 0188.56901] [Google Scholar]
  21. V. D. KUPRADZE, T. G. GEGELIA, M. O. BASHELEISHVILI and T. V. URCHULADZE, Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity, North-Holland, Amsterdam, 1979. [MR: 530377] [Zbl: 0406.73001] [Google Scholar]
  22. N. I. MUSKHELISHVILI, Some Basic Problems of the Mathematical Theory of lasticity, Noordhoff, Groningen, 1963. [MR: 176648] [Zbl: 0124.17404] [Google Scholar]
  23. J. NEČAS, Les méthodes directes en théorie des équations elliptiques, Academia, Masson, Prague, Paris, 1967. [MR: 227584] [Google Scholar]
  24. J. C. NEDELEC, Approximation des Équations Intégrales en Mécanique et en Physique, Lecture Notes, Centre Math. Appl., École polytechnique, Palaiseau, France 1977. [Google Scholar]
  25. J. C. NEDELEC, Integral equations with non integrable kernels, Integral Equations and Operator Theory 5, 1982, pp. 562-582. [MR: 665149] [Zbl: 0479.65060] [Google Scholar]
  26. J. A. NITSCHE, On Korn's second inequality, R.A.I.R.O. Anal. Numér. 15, 1981, pp. 237-248. [EuDML: 193380] [MR: 631678] [Zbl: 0467.35019] [Google Scholar]
  27. P. D. PANAGIOTOPOULOS, Inequality Problems in Mechanics and Applications, Birkhauser, Basel, 1985. [MR: 896909] [Zbl: 0579.73014] [Google Scholar]
  28. P. D. PANAGIOTOPOULOS, Boundary integral « equation » methods for the Signorini-Fichera problem, in Boundary Elements 7, vol. 2, exp. No. 12, 1985, pp. 73-83. [MR: 948223] [Zbl: 0599.73117] [Google Scholar]
  29. R. SAUER, Anfangswertprobleme bei partiellen Dijferentialgleichungen, Springer, Berlin, 1952. [MR: 52009] [Zbl: 0046.31902] [Google Scholar]
  30. A. SiGNORlNI, Sopra alcune questioni di elastostatica, Atti délia Società Italiana per il Progresso della Scienze, 1933. [JFM: 59.1413.02] [Google Scholar]
  31. W. L. WENDLAND, On some mathematical aspects of boundary elementmethods for elliptic problems, in MAFELAP V (J. R. Whiteman, éd.), Academic Press, New York, 1985, pp. 193-227. [MR: 811035] [Zbl: 0587.65079] [Google Scholar]
  32. W. L. WENDLAND and E. P. STEPHAN, A hypersingular boundary integral method for two-dimensional screen and crack problems, Arch. Rational Mech. Anal 112, 1990, pp. 363-390. [MR: 1077265] [Zbl: 0725.73091] [Google Scholar]

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