A flexible problem-specific multiscale topology optimization is introduced to associate
different areas of the design domain with diverse microstructures extracted from a dictionary …

A finite element-based image segmentation strategy enhanced by an anisotropic mesh
adaptation procedure is presented. The methodology relies on a split Bregman algorithm for …

This paper extends explicit a posteriori error estimators based on the variational multiscale
theory to systems of equations. In particular, the emphasis is placed on flow problems: the …

In this paper, we propose two systematic strategies to recover the gradient on the boundary
of a domain. The recovered gradient has comparable superconvergent property on the …

We propose a mesh adaptation procedure for Cartesian quadtree meshes, to discretize
scalar advection-diffusion-reaction problems. The adaptation process is driven by a recovery …

Cation-based (or electrochemical) resistive memory devices are gaining increasing interest
in neuromorphic applications due to their capability to emulate the dynamic behaviour of …

A novel finite element framework is proposed for the numerical simulation of two phase flows
with surface tension. The Level-Set (LS) method with piece-wise quadratic (P2) interpolation …

This work focuses on a variational approach to image segmentation based on the Ambrosio--
Tortorelli functional. We propose an efficient algorithm, which combines the functional …

In this paper we introduce a novel certified shape optimization strategy–named Certified
Descent Algorithm (CDA)–to account for the numerical error introduced by the Finite …

We implement a space‐time grid adaptation procedure to efficiently improve the accuracy of
numerical simulations of solute transport in porous media in the context of model parameter …