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What is Equivalent Polynomials for Heaviside Elements about?

This internal report discusses the determination of Equivalent Polynomials for one-cell quadrature in Heaviside function enriched elements within the context of XFEM formulation. It outlines the challenges of integrating discontinuous functions in finite element analysis and presents a method to derive equivalent polynomials that allow the application of Gaussian quadrature. The report also introduces a regularized version of the Heaviside function to simplify the integration process and provides equations

Author

giulio.ventura

Language

EN