Sentence examples for solution with the existing from inspiring English sources

Comparisons of the present solution with the existing experimental test results and theoretical solutions as well as the 2D continuum elastic finite element solutions are conducted to validate the present improved model.

Frames are a communication tool, and the role of the advocate is to reframe an issue in a way that aligns the proposed solution with the existing cultural values.

Validity and accuracy of the present formulation are confirmed by comparing the present solutions with the existing results and those obtained from finite element analyses.

The convergence of the method is shown through different examples and its accuracy is demonstrated by comparing the obtained solutions with the existing results in literature for FG plates.

Our analytical solutions match with the existing design formulations that are only applicable to symmetric geometries.

The implementation phase takes care of the rollout of the PKI solution, its integration with the existing IT environment, and, before the rollout, the development of customized PKI-enabled applications or PKI software plug-ins.

These solutions were compared with the existing no-take area of the LSMP.

Accuracy of the numerical solution is confirmed by comparing with the existing solutions for the limiting cases of a finite elastic cylinder and a poroelastic cylinder under plane strain conditions.

The given solution is analytically in exact agreement with the existing solution for a homogeneous transversely isotropic half-space.

To achieve this purpose and obtain a reliable solution, some different strategies with the existing researches are used.

Excellent numerical results have been obtained for both scalar and Euler conservation laws with substantially improved solution quality in comparison with the existing methods.