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So, there are no available methods to deal with this system efficiently and by a solution procedure which is cheaper.
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Therefore, we develop a solution procedure by integrating sample average approximation with the integer L-shaped method.
Due to the efficiency of decomposition procedures it is advantageous to start a solution procedure always by applying them first.
Then the derived optimization model is solved by a modified solution procedure, in which the key item is an iterative initialization scheme.
Although in cyclic analysis a step-by-step solution procedure has to be adopted to account for the plastic history, LIM will still have many advantages over the traditional finite element method.
This paper augments our previous work by presenting a mathematical solution procedure for simulating the field responsive behavior of silicone electro-elastomers configured for both in-plane and out-of-plane deformation.
These updating parameters are then evaluated by an iterative or a direct solution procedure, which gives optimised solutions in the least squares sense without requiring an optimisation technique.
After a suitable expansion of the functions, the governing equations are transformed into two coupled ordinary differential equations, and they are solved by a general eigenvalue solution procedure.
A direct solution procedure by lower/upper factorization is applied to the elliptic region(s), the results of which are then coupled to a standard line Gauss-Seidel relaxation sweep across the entire domain in the primary flow direction.
Bending and buckling problems of a simply supported functionally graded microbeam are analytically solved by Navier solution procedure.
Using structural properties of the considered class of systems, a simplified solution procedure is proposed by direct manipulation of DARE.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com