@article{M2AN_1993__27_4_457_0, author = {Gwinner, J. and Stephan, E. P.}, title = {A boundary element procedure for contact problems in plane linear elastostatics}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {457--480}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {27}, number = {4}, year = {1993}, mrnumber = {1230830}, zbl = {0773.73096}, language = {en}, url = {http://archive.numdam.org/item/M2AN_1993__27_4_457_0/} }
TY - JOUR AU - Gwinner, J. AU - Stephan, E. P. TI - A boundary element procedure for contact problems in plane linear elastostatics JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1993 SP - 457 EP - 480 VL - 27 IS - 4 PB - AFCET - Gauthier-Villars PP - Paris UR - http://archive.numdam.org/item/M2AN_1993__27_4_457_0/ LA - en ID - M2AN_1993__27_4_457_0 ER -
%0 Journal Article %A Gwinner, J. %A Stephan, E. P. %T A boundary element procedure for contact problems in plane linear elastostatics %J ESAIM: Modélisation mathématique et analyse numérique %D 1993 %P 457-480 %V 27 %N 4 %I AFCET - Gauthier-Villars %C Paris %U http://archive.numdam.org/item/M2AN_1993__27_4_457_0/ %G en %F M2AN_1993__27_4_457_0
Gwinner, J.; Stephan, E. P. A boundary element procedure for contact problems in plane linear elastostatics. ESAIM: Modélisation mathématique et analyse numérique, Tome 27 (1993) no. 4, pp. 457-480. http://archive.numdam.org/item/M2AN_1993__27_4_457_0/
[1] 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 | Zbl
and ,[2] Boundary integral operators on Lipschitz domains : Elementary results, SIAM J. Math. Anal. 19, 1988, pp. 613-626. | MR | Zbl
,[3] Mathematical Analysis and Numerical Methods for Science and Technology, Vol. 4, Integral Equations and Numerical Methods, Springer, Berlin, 1990. | MR
and ,[4] Inequalities in Mechanics and Physics, Springer, Berlin, 1976. | MR | Zbl
and ,[5] 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 | Zbl
,[6] Numerical Quadrature and Cubature, Academic Press, New York, 1980. | MR | Zbl
,[7] Boundary Value Problems for Elliptic Pseudodifferential Equations, Translations of Mathematical Monographs, Vol. 52, American Mathematical Society, Providence, 1981. | MR | Zbl
,[8] 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.
,[9] Numerical Methods for Nonlinear Variational Problems, Springer, New York, 1984. | MR | Zbl
,[10] Numerical Analysis ofVariational Inequalities, North-Holland, Amsterdam, 1981. | MR | Zbl
, and ,[11] Elliptic Problems in Nonsmooth Domains, Pitman, Boston, 1985. | MR | Zbl
,[12] Discretization of semicoercive variational inequalities, Aequationes Mathematicae 42, 1991, pp. 72-79. | MR | Zbl
,[13] Numerische Mathematik, Springer, 1989. | MR | Zbl
and ,[14] A direct boundary element method for Signorini problems, Math. Computation 55, 1990, pp.115-128. | MR | Zbl
,[15] Solution of Variational Inequalities in Mechanics, Springer, Berlin, 1988. | MR | Zbl
, , and ,[16] A finite element analysis for the Signorini problem in plane elastostatics, Aplikace Mat. 22, 1977, pp. 215-228. | MR | Zbl
and ,[17] On the Dirichlet problem in elasticity for a domain exterior to an arc, J. Computational Appl. Mathematics 34, 1991, pp. 1-19. | MR | Zbl
, , ,[18] Contact Problems in Elasticity : a Study ofariational Inequalities and Finite Element Methods, SIAM, Philadelphia, 1988. | MR | Zbl
and ,[19] On Korn's inequalities, C.R. Acad. Sci. Paris I 308, 1989, pp. 483-487. | MR | Zbl
and ,[20] Potential Methods in the Theory of Elasticity, Israël Program for Scientific Translations, Jerusalem, 1965. | MR | Zbl
,[21] Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity, North-Holland, Amsterdam, 1979. | MR | Zbl
, , and ,[22] Some Basic Problems of the Mathematical Theory of lasticity, Noordhoff, Groningen, 1963. | MR | Zbl
,[23] Les méthodes directes en théorie des équations elliptiques, Academia, Masson, Prague, Paris, 1967. | MR
,[24] Approximation des Équations Intégrales en Mécanique et en Physique, Lecture Notes, Centre Math. Appl., École polytechnique, Palaiseau, France 1977.
,[25] Integral equations with non integrable kernels, Integral Equations and Operator Theory 5, 1982, pp. 562-582. | MR | Zbl
,[26] On Korn's second inequality, R.A.I.R.O. Anal. Numér. 15, 1981, pp. 237-248. | Numdam | MR | Zbl
,[27] Inequality Problems in Mechanics and Applications, Birkhauser, Basel, 1985. | MR | Zbl
,[28] Boundary integral « equation » methods for the Signorini-Fichera problem, in Boundary Elements 7, vol. 2, exp. No. 12, 1985, pp. 73-83. | MR | Zbl
,[29] Anfangswertprobleme bei partiellen Dijferentialgleichungen, Springer, Berlin, 1952. | MR | Zbl
,[30] Sopra alcune questioni di elastostatica, Atti délia Società Italiana per il Progresso della Scienze, 1933. | JFM
,[31] 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 | Zbl
,[32] A hypersingular boundary integral method for two-dimensional screen and crack problems, Arch. Rational Mech. Anal 112, 1990, pp. 363-390. | MR | Zbl
and ,