Optimization of the domain in elliptic unilateral boundary value problems by finite element method. (English) Zbl 0496.65057


65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35J20 Variational methods for second-order elliptic equations
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[1] D. BEGIS, R. GLOWINSKI, Application de la méthode des éléments finis à l’approximation d’un problème de domaine optimal. Appl Math Optimization, Vol. 2, 1975, pp. 130-169. Zbl0323.90063 MR443372 · Zbl 0323.90063
[2] P. G. CIARLET, The Finite Element Method for Elliptic Problems. North Holland, Amsterdam, 1978. Zbl0383.65058 MR520174 · Zbl 0383.65058
[3] J. NECAS, Les méthodes directes en théorie des équations elliptiques. Acadmia, Prague, 1967. MR227584 · Zbl 1225.35003
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