Abstract
We consider a decomposition to m-subdomains of the obstacle problem, which is modeled by a variational inequality of first species, using the auxiliary sequences, and we have proved a alternating relation between the solutions on each subdomain. We also proved a geommetrical convergence between the nth iteration and the solution of the initial problem, we obtained a result on the error estimate that contains a logarithmic factor with an extra power of | log(h)|.
Suggested Reviewers
N/A
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/amis/150102
Recommended Citation
Ikram, Bouzoualegh and Samira, Saadi
(2021)
"Generalized Schwarz Algorithm For A Class Of Variational Inequalities,"
Applied Mathematics & Information Sciences: Vol. 15
:
Iss.
1
, Article 2.
DOI: http://dx.doi.org/10.18576/amis/150102
Available at:
https://dc.naturalspublishing.com/amis/vol15/iss1/2