Sentence examples for benchmark problems are investigated from inspiring English sources

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By using the extended finite element method (XFEM) combined with the DII-integral, several benchmark problems are investigated to examine the validity of the proposed DII-integral and the influence of material nonhomogeneity on the DSIFs.

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Several numerical benchmark problems are analyzed.

Some benchmark problems are solved to support our discussion.

Several benchmark problems are solved using the proposed method.

Numerical results for typical benchmark problems are presented and analyzed.

Implementations of the benchmark problems are provided as Additional files 2 and 3.

To investigate the effectiveness of GODRP schemes, a sequence of benchmark problems is executed.

A system of benchmark problems is proposed for future reference.

Eight benchmark problems were used for evaluating the performance.

An overview of the collection of benchmark problems is presented in Table 1.

As application programs, the PARSEC benchmark suite and the SPLASH-2 benchmark suite are investigated.

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