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The proposed approach incorporating boundary element method appears to be very promising for solving shape optimization of structures.
To this end, we implemented an optimization algorithm based on simulations applying finite element methods (FEMs), which maximizes the coil's sensitivity and thus signal-to-noise ratio (SNR) while incorporating boundary conditions such as the coil's electrical properties and a localized sensitivity needed for single-sided applications.
Incorporating boundary conditions at infinity into simulations on bounded computational domains is a repeatedly occurring problem in scientific computing.
We introduce here a new procedure for incorporating boundary conditions, which reduces spurious eigenvalues by an order of magnitude or more (also allowing more freedoms in the choice of grid point locations).
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After modifying the matrix system (4.9) to incorporate boundary conditions, the solution is obtained as (4.12).
After modifying the matrix system (3.13) to incorporate boundary conditions, the solution is obtained as follows: (3.16).
Contrarily, in the continuum model, different approaches are followed to incorporate boundary conditions including the case of infinite mass [11] that have been critically examined and compared to tight-binding results.
Haggard et al. [ 19] highlight the importance of this assertion: "If agreement can be reached on the fundamental, distinctive attributes that set mentoring apart from other interpersonal relationships, then researchers can incorporate boundary conditions and the issue becomes what type of mentor[ing] is being studied".
where Ãi-1is the modified matrix Ai-1after incorporating the boundary conditions (2.30).
Depending on field conditions, the model can predict multiple filling conditions and various types of drainage systems in tailings containment facilities by incorporating appropriate boundary conditions.
We also extend the hybrid approach [29] to directed weighted graphs, incorporating the boundary polarity by combining the strengths of oriented relative fuzzy connectedness and graph cut.
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