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The robust control problem is to find a control law that maintains system response and error signals within prescribed tolerances despite the effects of uncertainty on the system.
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where ξ represents a prescribed tolerance.
Table 1 provides the number of CG iterations required to reach the prescribed tolerance 10−6.
Approximation deviation can be controlled within prescribed tolerance under optimized conditions.
It seeks numerical approximations whose L∞-distance to the viscosity solution is no bigger than a prescribed tolerance.
The RVE size is defined within a prescribed tolerance, by examining the convergence of these two bounds.
The set of outcomes Ω is refined where the local error exceeds the prescribed tolerance ε = 10 − 8.
This procedure results in the term O ( h p + 1 ) being negligible up to a prescribed tolerance.
Nevertheless, except for F12, none of the approaches were able to locate the global optimum within the prescribed tolerance.
These error estimates are used to control a local h-refinement strategy where finer grids are recursively introduced in regions where a prescribed tolerance is exceeded.
The steady state solution is obtained by taking sufficient time steps until the flow field ceases to change with time within a prescribed tolerance.
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CEO of Professional Science Editing for Scientists @ prosciediting.com