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The organization of the paper is as follows. Section 2 provides a brief introduction to the XFEM/XIGA and standard finite element analysis. In Section 3, the XFEM/XIGA is introduced and finite element models using B-splines and NURBS are developed. Section 4 provides a numerical comparison between the XFEM/XIGA and the standard finite element analysis using B-splines and NURBS. Section 5 provides a numerical comparison with the XFEM/XIGA and standard finite element analysis using multi-material discretization settings. In Section 6, we present a convergence analysis of the XFEM/XIGA and test various configurations using the linear and quadratic B-spline basis functions. Finally, we conclude the paper in Section 7.
The rest of the paper is organized as follows. In Section 2, we introduce the XFEM/XIGA and the standard finite element approximation in a general framework. Sections 3 and 4 present the XFEM/XIGA and finite element analysis using B-splines and NURBS basis functions, respectively. In Section 5, we present a numerical comparison of the XFEM/XIGA with the standard finite element analysis using B-splines and NURBS basis functions. In Section 6, we provide convergence analysis of the XFEM/XIGA and test various configurations using the linear and quadratic B-spline basis functions. Finally, we present a numerical comparison between the XFEM/XIGA and standard finite element analysis using multi-material discretization settings in Section 7.
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One of the drawbacks to this approach was that we needed to recompile every time we made even a small change to the code. This slowed everything else we were doing down and because we couldn't always have someone waiting for the application to finish building. 827ec27edc