Partition of unity-based discontinuous elements for interface phenomena: computational issues.

*(English)*Zbl 1058.74082Summary: We study numerically the performance of partition of unity-based discontinuous elements. In particular, we show that conventional interface elements and partition of unity-based discontinuous elements share the same structure of stiffness matrix governing the interface behaviour and, under specific circumstances, the same shortcomings (i.e. oscillations in traction profile). The effect of various integration schemes on the interface contribution is studied through the analysis of a linearly elastic notched beam. Further, an eigenvalue analysis of the partition of unity-based discontinuous element is conducted to gain more insight into its mechanical behaviour.

##### MSC:

74S05 | Finite element methods applied to problems in solid mechanics |

74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |

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\textit{A. Simone}, Commun. Numer. Methods Eng. 20, No. 6, 465--478 (2004; Zbl 1058.74082)

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