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We derived an eighth symmetric formulation of the Generalized Method of Cells for triply periodic microstructures.
Thanks to its analytical and symmetric formulation, it is suitable for the design of organic integrated circuits.
In our previous work, we were able to obtain a symmetric formulation of this coupled system; however, it was also indefinite, making it more difficult to solve.
The development takes advantage of the simplifying properties that come with a symmetric formulation of the equations of motion in state space.
Based on a new variational principle in the time domain, a substructure synthesis method is developed for non-symmetric viscoelastic systems without precluding a symmetric formulation.
A thermo-poroelastic numerical model is here proposed to jointly evaluate ground deformation and gravity changes caused by hydrothermal fluid circulation in complex media with surface topography and mechanical heterogeneities in a 2D axis symmetric formulation.
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Here, we extend the methods developed in [21, 22] to solve the axis symmetric formulations of Section 2.2.
Thus, a total of four three-field symmetric formulations is obtained.
Then, the methods based on the non-symmetric or on the three-field symmetric formulations are shown to have disadvantages, compared to the methods based on the two-field symmetric formulations.
The Rayleigh quotient of the system is manipulated to obtain expressions suitable for symmetric formulations of the eigenvalue problem.
The approximation is made stable by a discretization of a skew-symmetric formulation of the problem.
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