Quantitative error estimates for material idealization of torsion problems
نویسندگان
چکیده
منابع مشابه
Error estimates for elasto-plastic problems
— Under some reasonable smoothness assumpfions on the displacements, we are able to dérive an error estimate of the form ||a — <7h||L2{fl)^ Ch, for the approximation of the stress field a in some problems in elasto-plasticity. Using the same ideas, we als o find a piecewise line ar approximation of Mosolov's problem, for which we still get an 0 (h) error estimate.
متن کاملL”-error estimates for linear elasticity problems
Two-dimensional linear elasticity problems are approximately solved by a mixed finite-element method based on Raviart-Thomas-Nedelec spaces; maximum-norm error estimates of optimal rate and almost optimal regularity are derived for the displacement field, and of optimal regularity and almost optimal rate for the stress tensor. The superconvergence of the approximate displacement field to the L2...
متن کاملError Estimates for the Recursive Linearization of Inverse Medium Problems
This paper is devoted to the mathematical analysis of a general recursive linearization algorithm for solving inverse medium problems with multi-frequency measurements. Under some reasonable assumptions, it is shown that the algorithm is convergent with error estimates. The work is motivated by our effort to analyze recent significant numerical results for solving inverse medium problems. Based...
متن کاملError estimates for obstacle problems of higher order
For obstacle problems of higher order involving power growth functionals we prove a posteriori error estimates using methods from duality theory. These estimates can be seen as a reliable measure for the deviation of an approximation from the exact solution being independent of the concrete numerical scheme under consideration.
متن کاملError Estimates for Finite Element Approximations of Elliptic Control Problems
We investigate finite element approximations of one-dimensional elliptic control problems. For semidiscretizations and full discretizations with piecewise constant controls we derive error estimates in the maximum norm.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1991
ISSN: 0895-7177
DOI: 10.1016/0895-7177(91)90004-q