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(c) Schematic illustration of the experimental setup to shear the sample using an XYZ stage, measure the shear force, Fapp, using an in situ calibrated (see Methods) and fixed micro-force sensor, and control the temperature and vacuum.
A level set method combining features of front tracking methods and fixed domain methods is presented to model microstructure evolution in the solidification of multi-component alloys.
The existence and multiplicity results for Equation (1) are considered in [1 3] by using variational methods and fixed point theorems in cones of ordered Banach space with space dimension is one.
The scheme is motivated by the idea of extragradient methods and fixed point iteration methods.
Our proofs are based on the method of global continuous theorem, the lower-upper solutions methods and fixed point index theory.
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The variational-fixed point iteration is the combination and application of variational iteration method and fixed point iterative process endowed with finite element method.
The pH was optimized by one at a time method and fixed at 5.0.
Since the variational iteration method and fixed point iteration methods are similar [10].
Further, we investigate the generalized Hyers-Ulam stability of (1.5) by using direct method and fixed point method.
A comparison between the direct method and fixed alternative method for functional equations is given in [19].
By using the lower and upper solution method and fixed point theorem, they obtained some new existence results.
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