We present an explicit formulation of the splitting associated with the Mutiplicative Schwartz iteration. We give an implementation of the new formulation on a parallel computer and show its advantages when used as a preconditionner for a Krylov method. In the paper the implementation is described in PETCs standard. Keywords— Domain decomposition, Multiplicative Schwarz preconditionner, iterati...

We present Neumann-Neumann domain decomposition preconditioners for the solution of elliptic linear quadratic optimal control problems. The preconditioner is applied to the optimality system. A Schur complement formulation is derived that reformulates the original optimality system as a system in the state and adjoint variables restricted to the subdomain boundaries. The application of the Schu...

This paper addresses a reliable facility location problem with considering facility capacity constraints. In reliable facility location problem some facilities may become unavailable from time to time. If a facility fails, its clients should refer to other facilities by paying the cost of retransfer to these facilities. Hence, the fail of facilities leads to disruptions in facility location dec...

in order to improve local therapeutic techniques for the massively burnt patients and to minimize the pain associated with dressing change, the concept of topical film was utilized to formulate a topical antimicrobial spray. the commonly used topical antimicrobial silver sulfadiazine spray was formulated as a new drug delivery system. the release of therapeutic agents in vitro from medicated sp...

In two and three dimensions, we analyze mixed finite element methods for a velocity-pressure-pseudostress formulation of the Stokes eigenvalue problem. The consist schemes: velocity pressure are approximated with piecewise polynomial, whereas pseudostress consider classic families elements ${H}(\div)$ spaces: Raviart--Thomas Brezzi--Douglas--Marini elements. With aid spectral theory compact ope...