Sentence examples for benchmark examples are presented from inspiring English sources

Several benchmark examples are presented to show the effectiveness of this approach.

Results of implementation of the technique, on different benchmark examples, are presented.

The results of numerical experiments on the simulated data obtained from the Boeing company and on some benchmark examples are presented to show the accuracy of the method.

Three benchmark examples are presented to validate the proposed scheme with results that show tangible advantages, such as reduced computational time and faster convergence, of ITO over conventional TO.

To demonstrate the effectiveness of the proposed SBM formulation for wave propagation analysis in periodic structures, several benchmark examples are presented and discussed The proposed SBM results are compared with the analytical solutions, the reference results and the COMSOL software.

Two classes of benchmarking examples are presented in this paper: (1) periodic microstructural material design for the maximum permeability; and (2) topology optimization of flow channels for minimizing energy dissipation.

To verify performance of the proposed controller, two benchmark simulation examples are presented.

Two benchmark test examples are presented to illustrate that this new method is computational efficiency, robust, accurate and consistent with the results obtained in the context of shape and topology optimization of the fluids.

The optimization solutions, obtained by a Feasible Arc Interior Point gradient-based algorithm, for some plate-shell examples are presented for benchmarking purposes.

Several Mode-I examples are presented herein to set a benchmark on accuracy and runtime efficiency of the proposed method.

Numerical examples are presented for the analyses of benchmark composite delamination problems which include the double cantilever beam, the end notch flexure and the mixed mode bending tests.