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Khalifa et al. [32, 33] applied the finite difference and cubic B-spline collocation finite element method to obtain the numerical solutions of the MRLW equation.
The Monte Carlo simulation method is utilized using an explicit finite element method to obtain the failure probability.
In this paper, the three-dimensional electrostatic field generated by a point charge in the sensing zone of the ESM is solved by using a finite element method to obtain the spatial sensitivity distributions of the ESM.
The velocity Poisson equations and the vorticity transport equations are solved using a finite element method to obtain the velocity and the vorticity fields in the interior region of the computational domain.
It is found that the present method needs considerably fewer degrees of freedom than the finite element method to obtain the same accuracy and that the results compare well with experimental ones.
In view of the last fact, one may use the numerical assembly method (NAM) for the conventional finite element method to obtain the overall simultaneous equations for the overall (n) attaching points (associated with the overall (n+1) beam segments) by taking into account the boundary conditions of the whole beam.
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2D Population Balance Equations are solved by the Galerkin-finite element method to obtain the distributions, accounting for 2D 'topological scission'; a manner to approximate random scission by an estimated fragment length distribution.
The differential equations are solved using the finite element and finite difference methods to obtain the beam and soil displacements.
The finite element method is used to obtain the solution of the crack problem.
The finite element method is employed to obtain the vibration frequencies of DWNT with arbitrary end conditions.
The finite element method was employed to obtain the local stress states at weld toes.
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