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The benefits concern the numerical costs, the way uncertainty is included, quantified and propagated.
Both methods are explained and their accuracy levels as well as the numerical costs are assessed.
Radiative heat transfer is known to play an important role in combustion processes but is often neglected in simulations because of its complexity and the related numerical costs.
We demonstrate reliability, accuracy of the coupling approach and efficiency in terms of numerical costs and modeling effort of our approach with several examples.
We formulate an integer linear programming problem that finds an optimal labeling function when numerical costs are associated with transition relabeling.
We examine the benefits of the proposed method on the basis of some numerical examples in comparison to the same shape optimization method not involving adaptive mesh refinement where we evaluate the corresponding numerical costs, the gain in accuracy and the effects on the optimal shapes being obtained.
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The modelling of impacted structures may have a high numerical cost.
The method is studied from the point of view of accuracy and numerical cost.
Additional numerical cost due to our boundary treatment is discussed in some of the examples.
Globality, however, often has a prohibitively high numerical cost for real problems.
The GBNM method compares favorably to an evolutionary algorithm, both in terms of numerical cost and accuracy.
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