An Adaptive Boundary Element Method for Contact Problems

Mathematical Aspects of Boundary Element Methods

Volumn , Issue , 2024, Pages 116-127

  Eck, C ^a   Wendland, W L ^b  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84884849795     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/9780429332449-10     Document Type: Chapter

References (16)

1. M. Costabel: Boundary integral operators on Lipschitz domains: elementary results. SIAM J. Math. Anal. 19 (1988), 613–626
2. M. Costabel, M. Dauge: Invertibility of the biharmonic single layer potential operator. Integr. Equat. Th. 24 (1996), 46–67
3. G. Duvaut, J. L. Lions: Inequalities in Mechanics and Physics. Springer-Verlag, Berlin, Heidelberg, New York, 1976.
4. C. Eck, J. Jarušek: Existence results for the static contact problem with Coulomb friction. Math. Mod. Meth. Appl. Sci. 8 (1998), 445-468.
5. C. Eck, J. Jarušek: Existence results for the semicoercive static contact problem with Coulomb friction. Preprint 97/45, SFB 404, University of Stuttgart, 1997.
6. C. Eck, O. Steinbach, W. L. Wendland: A symmetric boundary element method for contact problems with friction. In preparation.
7. C. Hsiao, W. L. Wendland: A finite element method for some integral equation of the first kind. J. Math. Anal. Appl. 58 (1977), 449-481.
8. J. Jarušek: Contact problems with bounded friction, coercive case. Czechosl. Math. J. 33 (1983), 237–261
9. N. Kikuchi, J. T. Oden: Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods. SIAM, Philadelphia, 1988.
10. J. Nečas, J. Jarušek, J. Haslinger: On the solution of the variational inequality to the Signorini problem with small friction. Bollettino U.M.I. 17 (1980), 796-81
11. P. D. Panagiotopoulos: A nonlinear programming approach to the unilateral contact problem with friction. Ingenieur-Archiv 44 (1975), 421–432
12. J. Saranen, W. L. Wendland: Local residual-type error estimates for adaptive boundary element methods on closed curves. Applicable Analysis 48 (1993), 37-50
13. H. Schulz: Über lokale und globale Fehlerabschätzungen für adaptive Randele-mentmethoden. Doctoral-thesis, University of Stuttgart, 1997.
14. O. Steinbach: Gebietszerlegungsmethoden mit Randintegralgleichungen und effiziente numerische Lösungsverfahren für gemischte Randwertprobleme. Doctoral-thesis, University of Stuttgart, 1996.
15. W. L. Wendland, D. Yu: Adaptive boundary element methods for strongly elliptic integral equations. Numer. Math. 53 (1988), 539-558.
16. W. L. Wendland, D. Yu: Local error estimates of boundary element methods for pseudo-differential-operators of non-negative order on closed curves. J. Comp. Math. 10 (1990), 273-289.