Functional a posteriori estimates for elliptic variational inequalities |
| |
Authors: | S I Repin |
| |
Institution: | (1) St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia |
| |
Abstract: | The paper is concerned with a new way of deriving computable estimates for the difference between the exact solutions of elliptic
variational inequalities and arbitrary functions in the corresponding energy space that satisfy the main (Dirichlét) boundary
conditions. Unlike the method derived earlier, the estimates are obtained by certain transformations of variational inequalities
without using duality arguments. For linear elliptic and parabolic problems, this method was suggested by the author in previous
papers. The present paper deals with two different types of variational inequalities (also called variational inequalities
of the first and second kind). The techniques discussed can be applied to other nonlinear problems related to variational
inequalities. Bibliography: 20 titles.
Published in Zapiski Nauchnykh Seminarov POMI, Vol. 348, 2007, pp. 147–164. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|