Abstract In this paper, we compute the band structure of one- and two-dimensional phononic composites using extended finite element method (X-FEM) on structured higher-order (spectral) meshes. On partition-of-unity enrichment in analysis, X-FEM permits use meshes that do not conform to geometry holes inclusions. This eliminates need for remeshing shape optimization topology studies. two dimensi...

<p style='text-indent:20px;'>In this paper, a stabilized extended finite element method is proposed for Stokes interface problems on unfitted triangulation elements which do not require the align with triangulation. The problem written mixed form using nonconforming <inline-formula><tex-math id="M1">\begin{document}$ P_1 $\end{document}</tex-math></inline-formula> ...