A numerical algorithm for the solution of Signorini problems

Journal of Computational and Applied Mathematics

Volumn 94, Issue 1, 1998, Pages 55-67

  Aitchison, J M ^a   Poole, M W ^a  

^a CRANFIELD UNIVERSITY   (United Kingdom)

Author keywords

Boundary element methods; Complementarity relations; Free boundary problems; Signorini

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; CODES (SYMBOLS); CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; PROBLEM SOLVING; THEOREM PROVING;

FREE BOUNDARY PROBLEMS; SIGNORINI PROBLEMS;

BOUNDARY VALUE PROBLEMS;

EID: 0032117496     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00030-2     Document Type: Article

References (15)

1. J.M. Aitchison, C.M. Elliot, J.R. Ockendon, Percolation in gently sloping beaches, IMA J. Appl. Math. 30 (1983) 269-287.
2. J.M. Aitchison, A.A. Lacey, M. Shillor, A model for an electropaint process, IMA J. Appl. Math. 33 (1984) 17-31.
3. C.A. Brebbia, The Boundary Element Method for Engineers, Pentech Press, Plymouth, 1978.
4. A. Friedman, Variational Principles and Free-Boundary Problems, Wiley, New York, 1982.
5. N. Furuno, Y. Ohyabu, Methods for measuring throwing power in electro-deposition coating, Progr. Org. Coat. 5 (1977) 201-217.
6. R. Glowinski, Numerical Methods for Nonlinear Variational Problems, Springer, New York, 1982.
7. J. Haslinger, Signorini problem with Coulomb's law of friction. Shape optimization in contact problems, Internat. J. Numer. Methods Eng. 34 (1992) 223-231.
8. A. Karageorghis, Numerical solution of a shallow dam problem by a boundary element method, Comput. Methods Appl. Mech. Eng. 61 (1987) 265-276.
9. F. Lebon, M. Raous, Multibody contact problem including friction in structure assembly, Comput. and Struct. 43 (1992) 925-934.
10. J. Nedoma, Finite element analysis of contact problems in thermoelasticity. The semicoercive case, J. Comput. Appl. Math. 50 (1994) 411-423.
11. P. Neittaanmäki, Design sensitivity analysis for state-constrained structural design problems, Mech. Struct, and Mach. 20 (1992) 433-458.
12. K. Petrov, N. Petrov, M. Mikrenska, A computer program for solving Signorini's contact problem with friction, Adv. Eng. Software 19 (1994) 97-108.
13. M.W. Poole, J.M. Aitchison, Numerical model of an electropaint process with applications to the automotive industry, IMA J. Math. Appl. Bus. Ind. 8 (1997) 347-360.
14. M.H. Protter, H.F. Weinberger, Maximum Principles in Differential Equations, Springer, Berlin, 1984.
15. A. Signorini, Sopra alcune questioni di elastostatica, Atti della Societa per il Progresso della Scienza (1993).