20140912
The powerful properties of formulations enriched with discontinuous or singular functions like XFEM, GFEM and SDA is the ability to represent features independently of the mesh structure. However, a problematic point in their practical implementation is given by the quadrature to compute the element stiffness. In fact, especially in 3D, the element are cut at arbitrary planes by the discontinuities, with the consequence that standard quadrature rules cannot be applied.
The method of Equivalent Polynomials maps enrichment functions onto polynomials having the property of reproducing the exact element stiffness. This method and its recent findings will be illustrated for Heaviside function enriched elements in 1D, 2D and 3D.
Technische Universität Darmstadt
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