Applied Mathematics & Information Sciences

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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)|.

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