Premium
Numerical approximations of problems in plasticity: error analysis and solution algorithms
Author(s) -
Han Weimin,
Jensen Søren,
Reddy B. Daya
Publication year - 1997
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/(sici)1099-1506(199705/06)4:3<191::aid-nla112>3.0.co;2-1
Subject(s) - mathematics , convergence (economics) , differentiable function , rate of convergence , displacement (psychology) , function (biology) , approximations of π , variational inequality , boundary value problem , algorithm , mathematical analysis , computer science , key (lock) , psychology , computer security , evolutionary biology , economics , psychotherapist , biology , economic growth
The initial‐boundary value problem of elastoplasticity is considered in the form of a variational inequality, with primary unknowns the displacement, plastic strain and internal variables. The well‐posedness of this problem is reviewed, and results are presented for the convergence of a new fully discrete scheme, in which a non‐differentiable functional characteristic of this problem is replaced by an approximate discrete function. It is shown that convergence of this approximation is at the same rate as that for approximations based on the use of the original functional, and that the scheme is stable. Some iterative solution algorithms are discussed. ©1997 John Wiley & Sons, Ltd.