Back to Search
Start Over
A convergence criterion for elliptic variational inequalities.
- Source :
-
Applicable Analysis . Jun2024, Vol. 103 Issue 10, p1810-1830. 21p. - Publication Year :
- 2024
-
Abstract
- We consider an elliptic variational inequality with unilateral constraints in a Hilbert space X which, under appropriate assumptions on the data, has a unique solution u. We formulate a convergence criterion to the solution u, i.e. we provide necessary and sufficient conditions on a sequence $ \{u_n\}\subset X $ { u n } ⊂ X which guarantee the convergence $ u_n\to u $ u n → u in the space X. Then we illustrate the use of this criterion to recover well-known convergence results and well-posedness results in the sense of Tykhonov and Levitin–Polyak. We also provide two applications of our results, in the study of a heat transfer problem and an elastic frictionless contact problem, respectively. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 103
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 177739150
- Full Text :
- https://doi.org/10.1080/00036811.2023.2268636