This paper presents a novel Generalized Finite Element Method with global-local
enrichment (GFEM gl) to solve time-dependent parabolic and hyperbolic problems with …

This paper develops an adaptive algorithm for the Generalized Finite Element Method with
global–local enrichment (GFEM gl) for transient multiscale PDEs. The adaptive algorithm …

Multiscale Finite Element Methods (MsFEMs) are now well-established finite element type
approaches dedicated to multiscale problems. They first compute local, oscillatory, problem …

The residual-driven iterative corrector scheme recently presented by the authors for linear
problems has opened a pathway to achieve the best possible fine-mesh accuracy in the …

Using an efficient, elasticity-based homogenization theory, we investigated the effect of
porosity redistribution at different microstructural scales on the homogenized moduli and …

Abstract Multiscale Finite Element Methods (MsFEM) are finite element type approaches
dedicated to multiscale problems. They first compute local, oscillatory, problem-dependent …

To describe the physical fields of the V-notch structure accurately, the structure is first
divided into two parts, the notch tip sector containing singular stress field and the non …

We present a concurrent material and structure optimization framework for multiphase
hierarchical systems that relies on homogenization estimates based on continuum …

In this paper, a generalized multiscale independent cover method (MsICM) for nonlocal
damage simulation is proposed. The independent cover approximation is used in the micro …

We describe a strategy for implicit a posteriori error estimation in cut finite elements. Our
approach is based on the definition of local residual-driven corrector problems that use a …