An overview of the extended/generalized finite element method (GEFM/XFEM) with
emphasis on methodological issues is presented. This method enables the accurate …

The extended and generalized finite element methods are reviewed with an emphasis on
their applications to problems in material science:(1) fracture,(2) dislocations,(3) grain …

An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …

The Generalized Finite Element Method (GFEM) is a Partition of Unity Method (PUM), where
the trial space of standard Finite Element Method (FEM) is augmented with non-polynomial …

The extended finite element method (X‐FEM) has proven to be an accurate, robust method
for solving problems in fracture mechanics. X‐FEM has typically been used with elements …

We describe coupled algorithms that use the Extended Finite Element Method (XFEM) to
solve the elastic crack component of the elasto-hydrodynamic equations that govern the …

An overview of computational methods to model fracture in brittle and quasi‐brittle materials
is given. The overview focuses on continuum models for fracture. First, numerical difficulties …

The extended finite element method (XFEM) with the local refinement technique using the
variable-node element (VNE) is proposed to simulate the fatigue crack propagation under …

We present in this paper recent achievements realised on the application of strain
smoothing in finite elements and propose suitable extensions to problems with …

A stabilized finite element method based on the Nitsche technique for enforcing constraints
leads to an efficient computational procedure for embedded interface problems. We …