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The reduced problem is solved using parallel conjugate gradients preconditioned with an algebraically determined additive Schwarz domain decomposition preconditioner.
The finite element approximation of the reduced problem is considered and we can prove that the finite element approximation is well posed.
The reduced problem is examined further to develop simple, yet powerful expressions for the modal properties which provide insight into the resonance characteristics of the connected subsystem problem.
The reduced problem is a two-dimensional differential algebraic equation.
The desingularized reduced problem is projected onto the critical manifold near the lower fold (gray dashed) for τ s = 15.
Understanding the behavior of the optimal policy, even for the reduced problem, is significant since it provides valuable intuition about when scheduling and rate control actions for one or the other extreme are preferable.
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Obtaining slow reduced problems is trickier here since (c_{mathrm{tot}}) has different scalings at different times.
To improve the applicability of this approach under lab conditions, reduced problems are formulated with considerably fewer degrees of freedom that can be solved more reliably.
An approach to reduce problems is to modify the surface properties with antibacterial or antibiofilm agents.
Based on the constructed pay-off table, a reduced bicriterion problem is formulated and solved through an iterative procedure.
Thus the reduced OPF problem is more favorable for real-time optimization.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com