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We consider a quasi-stationary Stokes interface problem with a reaction term proportional to τ = 1/∆t ≥ 0 as obtained by a time discretization of a time-dependent Stokes problem. The mesh used for space discretization is not aligned with the interface. We use the P1 extended finite element space for the pressure approximation and the standard conforming P2 finite element space for the velocity ...

The Generalized/eXtended Finite Element Method (G/XFEM) has been established as an approach to provide optimally convergent solutions for classes of problems that are challenging the standard version (FEM). For with non-smooth solutions, those within Linear Elastic Fracture Mechanics (LEFM) context, FEM convergence rates often not optimal and bounded by strength singularity in analytical soluti...

An alternative numerical model for fiber reinforced concrete (FRC) compressive and bending tensile strength determination is presented in this paper. Fibers are modeled explicitly by using the Extended Finite Element Method (XFEM). method modeling fiber-matrix interaction, without need additional subroutine definition, proposed. The was evaluated experimental tests results good agreement. devel...