Sentence examples for available analytical from inspiring English sources

The present method is first validated by available analytical solutions.

The numerical model was verified with the available analytical solutions.

The simulation results show good agreement with available analytical solutions.

First, the numerical formulation is validated using available analytical results.

Four benchmark geometries with available analytical solutions are considered.

The numerical results are validated against available analytical solutions.

The simulations show a reasonable match with available analytical results.

The validity of the model is illustrated through comparisons with available analytical solutions.

Measured and calculated bulge radius and thickness values were compared with the available analytical models.

Reliabilities of various existing structures and available analytical methods for determining target reliabilities are reviewed.

The geometric-updating procedure has been validated using available analytical solutions for a structural optimization problem.