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This paper describes application of an improved computational approach based on domain decomposition technique for a large scale structural analysis. We compared computational algorithms corresponding to the original and an improved FETI approach. In the original FETI approach, Lagrange’s multipliers were introduced to enforce compatibility at the interface DOF’s. Specifically, we adopted local Lagrange’s multipliers with an augmented Lagrangian formulation (ALF) as penalty formulation of the problem to improve computational robustness and efficiency. For validation of the present approach, we compared its results with those obtained by the original FETI. Practical performances of the present approach were demonstrated through several 2-D plane and 3-D shell static analysis results.