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The anisotropic perfectly matched layer is employed to truncate the boundary for unbounded problems.
For unbounded problems, the symmetric perfectly matched layer (PML) method is applied to treat the non-reflecting boundary conditions.
In the case of unbounded problems, the perfectly matching layer (PML) is used to truncate the computational domain.
In addition, we show how to implement the PML in the UWVF to accurately approximate physically unbounded problems and discuss the parallelization of the UWVF.
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Step 2. Solve unbounded problem (36).
Let denote the optimum rate allocation of user of the unbounded problem (32).
A new perfectly matched layer (PML) model is developed to model the unbounded problem of interest.
Based on the analytical solution for the unbounded problem in Section 4, an optimization algorithm for the bounded problem (18) is presented in this section.
For solving the bounded optimization problem (18), it is useful to solve the unbounded problem only for a subset of "variable" users.
If any of the application characteristics deviates from (4), Step 2 can be replaced by a conventional algorithm that solves the unbounded problem.
Interestingly, given that all users use the same application, the optimum resource allocation for the unbounded problem results in an equal resource scheduler where all users are assigned the same number of slots.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com