Optimal convergence analysis for the extended finite element method

We have derived a priori error estimates for finite element approximations of the incompressible Navier–Stokes equations that are independent of the local Reynolds number and

The aim of this Note is to give a convergence result for a variant of the eXtended Finite Element Method (XFEM) on cracked domains using a cut-off function to localize the

This work proposes an a priori error estimate of a multiscale finite element method to solve convection-diffusion problems where both velocity and diffusion coefficient exhibit

The present study focuses on the application of the eXtended Finite Element Method (X-FEM) to large strain fracture mechanics for plane stress problems.. Two important issues

Analytical sensitivity analysis using the extended finite element method in shape optimization of bimaterial structures.. Lise No¨el, Laurent Van Miegroet, Pierre

We study in particular the stable generalized finite element method of Babuˇska and Banerjee [6] for higher order approximations in two and three dimensions and propose a

KEY WORDS : dynamic fracture mechanics; numerical stability; energy balance; extended finite element method; dynamic stress intensity

Combining space and time eXtended finite element methods gives a unified space–time dis- cretization and accurate results when space and/or time discontinuities have to be