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In the first part of this paper, the convergence of the additive Schwarz algorithm is analyzed in the two- and three-dimensional continuous cases by considering the linearized equations and applying a Fourier analysis.
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In this section we consider the linearized version of this problem, generalizing Calderón's approach.
We consider the linearized Euler and Maxwell equations and Ohm's law.
The critical forces are then obtained by the linearized stability theory.
The spinover mode is then considered, by linearizing the equation of motion for the fluid.
We linearize the above system of equations by considering small deviations from the equilibrium state ( n α < < n 0 α ; V α < < V 0 α ).
However, we also consider the consequences of linearizing around the post-HAART value of U ¯.
The proposed solution in [26] linearized the nonlinear problem by considering small position perturbation of each antenna element, and then derived analytic results.
The trajectory is linearized given by the last six tracked positions of the target considering the constant speed and direction.
The new approach, namely, load incremental approach, is an attempt to solve the non-linear inverse problem of 3D photoelasticity by considering change in stress state for a load increment and linearizing the non-linear governing equation.
Optimum linearized chord and twist distribution by considering total power coefficient as optimization criterion is determined and observed that 60% 64% and 30%37%% of the blade span-wise are the best places for optimum linearization of chord and twist, respectively.
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