Sentence examples for by an analytical solution from inspiring English sources

It was evaluated by an analytical solution.

This was shown experimentally and was supported by an analytical solution.

The shear modulus and flexural storage modulus of the adhesive were calculated by an analytical solution.

This numerical model is verified by an analytical solution and history matching for a Barnett shale gas well.

In this paper, fiber rotation is modeled by an analytical solution and incorporated in Maimi damage model.

These numerical results are compared to behavior predicted by an analytical solution and to dispersivities estimated by an expert panel.

Based on this, speedup of the moving horizon estimation is achieved by employing an analytical solution obtained by augmenting the ellipsoidal constraint into the objective function as a penalty weighted by a decreasing scaling parameter.

The strain transfer analysis involved evaluating the strain profiles along the sensor by plotting an analytical solution, and validating the evaluated profiles with the results obtained by a finite element analysis (FEA).

By applying an analytical solution and solving an eigenvalue problem, the dispersion relations of rotating FG nanobeam are obtained.

The latter one is evaluated by deriving an analytical solution for coherence-enhancing diffusion filtering of images with circular symmetry.

Estimated values of Dp are then obtained by fitting an analytical solution to the measured concentration profiles over time.