Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
Hybrid finite element methods for the Signorini problem
Mathematics of Computation
An Error Estimate for the Signorini Problem with Coulomb Friction Approximated by Finite Elements
SIAM Journal on Numerical Analysis
Local/global non-intrusive crack propagation simulation using a multigrid X-FEM solver
Computational Mechanics
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This work is dedicated to the mathematical and numerical analysis of a new Xfem approach: the integral maching Xfem. It is known that the quality of the approximation and the convergence rate of Xfem type methods is broadly influenced by the transition layer between the singular enrichment area and the rest of the domain. In the presented method, this transition layer is replaced by an interface associated with an integral matching condition of mortar type. We prove an optimal convergence result for such a non-conformal approximation method and we perform some numerical experiments showing the advantages of the integral matching Xfem with respect to former Xfem approaches.