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Functional a posteriori estimates for elliptic variational inequalities
- Source :
- Journal of Mathematical Sciences. 152:702-712
- Publication Year :
- 2008
- Publisher :
- Springer Science and Business Media LLC, 2008.
-
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 (Dirichlet) 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.
- Subjects :
- Statistics and Probability
Applied Mathematics
General Mathematics
Mathematical analysis
Duality (optimization)
Space (mathematics)
Dirichlet distribution
Nonlinear system
symbols.namesake
Variational inequality
Obstacle problem
symbols
Bibliography
Applied mathematics
Boundary value problem
Mathematics
Subjects
Details
- ISSN :
- 15738795 and 10723374
- Volume :
- 152
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Sciences
- Accession number :
- edsair.doi...........41d0a25c4638bb42358eb04c481d79eb