Article
Full entry |
PDF
(1.1 MB)
Feedback
PDF
(1.1 MB)
Feedback
Keywords:
finite element approximation; error estimates
finite element approximation; error estimates
Summary:
Finite element analysis of unilateral problems with obstacles on the boundary is given. Provided the exact solution is smooth enough, we obtain the rate of convergence $0(h)$ for the case of one and two (lower and upper) obstacles on the boundary. At the end of this paper the proof of convergence without any regularity assumptions on the exact solution $u$ is given.
References:
[1] Céa J.: Optimisation, théorie et algoritmes. Dunod, Paris 1971, MR 0298892
[2] Hlaváček I.: Dual finite element analysis for unilateral boundary value problems. To appear in Api. Mat. MR 0502043
[3] Hlaváček I.: Dual finite element analysis for elliptic problems with obstacles on the boundary, I. To appear in Apl. Mat. MR 0440958
[4] Nečas J.: Les méthodes directes en théorie des équations elliptiques. Academie, Prague 1967. MR 0227584
[5] Mosco U., Strang G.: One sided approximations and variational inequalities. Bull. Am. Math. Soc. 80 (1974), 308-312. DOI 10.1090/S0002-9904-1974-13477-4 | MR 0331818
[6] Strang G.: One-sided approximations and plate bending. Computing methods in applied sciences and engineering-Part I. Versailles 1973. MR 0435684
[7] Raoult-Puech: Approximation des inequations variationnelles. Seminaire Ciarlet-Glowinski-Raviart 1974.
[8] Scarpini F., Vivaldi M.: Error estimates for the approximations of some unilateral problems. To appear in R.A.I.R.O. MR 0488860
[9] Falk R. S.: Error estimates for approximation of a class of a variational inequalities. Math. of Соmр. 28 (1974), 963-971. MR 0391502
Search
Partner of
