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With the aid of a large geomechanical problem it is shown that direct solvers may not be (even) used on serial computers due to their prohibitive computational cost with PCG the only viable alternative solver.
For frequency dependent visco-elastic sandwich structures, used in many industrial applications such as for vibration damping, the computation of the stochastic response can lead to a prohibitive computational cost.
However, including these mechanisms in computational fluid dynamics (CFD) simulations often results in prohibitive computational cost.
However, these methods are frequently claimed to be complex and to lead to high (sometimes prohibitive) computational cost.
In this situation, the challenge is to get a good approximation without a prohibitive computational cost due to the huge size of the dictionary.
Potential limitations for these intrusive methods include overestimation or interval translation effect for the former and prohibitive computational cost for the latter.
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In essence, many methods have been developed to provide high quality results, neverthless, they may incur prohibitive computational costs.
Detailed modeling of complex combustion kinetics remains challenging and often intractable, due to prohibitive computational costs incurred when solving the associated large kinetic mechanisms.
The accuracy of such simulations is of chief concern, yet there is little guidance offered on achieving accurate solutions whilst mitigating prohibitive computational costs.
However, determining the appropriate designs for these truss-like cellular structures can be a challenging task due to their geometric complexities and prohibitive computational costs in the design process.
However, due to prohibitive computational costs, graph-based analyses to date have principally focused on measuring connection density rather than mapping the topological architecture in full by exhaustive shortest-path determination.
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