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A directly differentiated form of boundary integral equation with respect to geometric design variables is used to calculate shape design sensitivities for anisotropic materials.
A directly differentiated form of boundary integral equation with respect to geometric design variables is used to calculate shape design sensitivities for anisotropic materials with frictionless contact.
An implicit differentiation of the boundary integral equation with respect to geometric design variables is used to calculate shape design sensitivities of anisotropic materials.
The wall clock time measures the time in seconds required to calculate shape descriptors for the 116,476 molecules used in this work.
Hence, USR moments only have to be calculated once for each molecule and their comparison to calculate shape similarity does therefore not require superposition unlike most other shape-based methods.
In the shape optimization process, we carry out frequency response analysis to calculate shape gradient function, and then use the shape gradient functions in velocity analysis to update the shape or position of the inlaid material based on the H1 gradient method.
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The calculated shape and the calculated temperature of the material are found to agree well with the measured values.
A structural similarity to the zenarestat-conformation (1iei, Figure 8b) was revealed using the calculated shape descriptors.
The computation time to generate single PDF for Osada is around 50 s including time to random sampling of points, random sampling of shape distribution, and calculating shape functions.
With experimental data of endpoints, calculated shape factor bog and empirical shape factor bg, the initial guess of CO2 oil relative permeability curves was measured, then using history-matching method we reversed the curves by matching production data.
The use of the anode of the calculated shape enabled us to obtain a deposit of uniform thickness over almost the entire workpiece surface except for the very edges, where the deposit was thicker.
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