Sentence examples for formulations with respect to from inspiring English sources

A suitable finite-element modeling requires different element and constitutive formulations with respect to material, contact and path-following.

The sensitivity formulations with respect to shape and material parameters are presented and their numerical treatment is discussed.

Poisson, NB, MZIP, MZINB, MPois-Pois and MNB-Pois models were applied to compare the efficacy of the toothpaste formulations with respect to the marginal mean DMFS count.

The classical FVE methods were first to establish the semi-discrete FVE formulations with respect to spatial variables, and, then, to build the fully discrete FVE formulations.

If (n=m), then X is square, and if it is invertible, then the two formulations with respect to the weights and the responses are equivalent.

In addition, an extensive study of the cytotoxicity of the material formulations with respect to photoinitiator type and photoinitiator concentration is undertaken.

end{aligned} (2.5) The discrete formulation with respect to (2.2) can be denoted in the following form.

Quantifying the contribution of PBAA may improve diet formulation with respect to intestinal absorption and mammary uptake of AA.

Furthermore the advantage of this formulation with respect to primitive variables formulation is addressed from the computational point of view.

The full FE formulation Problem 4 is directly built from the semi-discrete formulation Problem 3 with respect to time such that one can bypass the semi-discrete formulation with respect to spatial variables and its theoretical analysis becomes simpler.

Numerical applications to unsteady compressible flows of increasing complexity demonstrate the advantages of the proposed formulation with respect to straightforward extensions of RBC schemes to curvilinear meshes.