Daoud S. Daoud

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—In this article we present an efficient time lagging interface prediction method with implicit correction (TLIC) for the solution of multi dimensional parabolic problem defined over non overlapping sub-domains. The time lagging method have been implemented with different integral multiples spatial spacing displacements from the interface line(s). We(More)
The explicit implicit domain decomposition methods are a non iterative types of methods for non overlapping domain decomposition. In comparison with the classical Schwarz algorithm for parabolic problem the former methods are computationally and communicationally more efficient for each time step but due to the use of the explicit step for the interface(More)
In domain decomposition for parabolic partial differential equations (PDE) several approaches have been developed— breaking the domain into multiple subdomains of either overlapping or non-overlapping type, or using algebraic type splittings— cf. [CM94] for an overview. An important aspect is how to present the boundary conditions across interfaces or(More)