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As expected, the threshold mesh size required for a converged solution appears to be roughly proportional to this prediction, plus some additional mesh density for the larger contact angles to compensate for the numerical difficulty associated with large gradients.
The mesh density for 10- and 50-nm nanodot-treated groups increased at 72 h, while a significant decrease was observed for 100- and 200-nm nanodot-treated groups at 120 h.
The IDP increased with the reduction in the mesh density for nearly all models.
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Mesh densities for the new models were similar to the original one.
The effect of mesh density was checked for a mesh density of 7.4E5 and 3.7E6 cells/m3 which showed a negligible effect on the results.
The type of simplifications made to construct the model, as well as its level of accuracy (e.g., mesh density) may be crucial for the algorithm performance both in terms of the quality of the final design and the computational cost of the design process.
The mesh density that is appropriate for the study was determined by checking different mesh densities.
A singular mesh density is required to account for the cusp while retaining the convergence properties of the basis set.
The fact that the area of interest changes with time creates a number of computational problems such as the need for a mesh density varying in space and time.
In particular, for refined hexahedral mesh generation, a modified Laplacian smoothing scheme for preserving specified mesh density conditions is proposed.
Time step convergence and mesh density convergence studies are carried out for the thermoviscoelastic FEM model.
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