Geodesic
A priori error estimates of variational-difference methods for Hencky plasticity problems
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 26, Tome 221 (1995), pp. 226-234 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article, convergence of equilibrium finite-element approximations for variational problems of the Hencky plasticity is analyzed. To obtain a priori error estimates, two regularized problems are considered and additional differentiability properties of their solutions are investigated. This allows us to prove that there is a relation between the parameters of regularization and sampling such that equilibrium approximations of the regularized problems produce a sequence of tensor-functions converging to the solution of the perfectly elasto-plastic problem. Convergence estimates are established. Bibliography: 12 titles. 
@article{ZNSL_1995_221_a13,
     author = {S. I. Repin},
     title = {A priori error estimates of variational-difference methods for {Hencky} plasticity problems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {226--234},
     year = {1995},
     volume = {221},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_221_a13/}
}
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S. I. Repin. A priori error estimates of variational-difference methods for Hencky plasticity problems. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 26, Tome 221 (1995), pp. 226-234. http://geodesic.mathdoc.fr/item/ZNSL_1995_221_a13/