We propose a general framework for solving forward and inverse problems constrained by
partial differential equations, where we interpolate neural networks onto finite element …

In this work, we analyse the links between ghost penalty stabilisation and aggregation-
based discrete extension operators for the numerical approximation of elliptic partial …

Using a volumetric–deviatoric decomposition of strain, we propose a novel phase-field
model for thermo-electro-mechanical fracture and provide an open-source finite element …

In this article, we propose a novel approach for modeling brittle fracture in heterogeneous
composites using a combined diffused material interface method and a hybrid phase-field …

In this work, we propose a novel formulation for the solution of partial differential equations
using finite element methods on unfitted meshes. The proposed formulation relies on the …

Bio-inspired composites are celebrated for their remarkable strength and fracture toughness,
often surpassing the properties of their constituent materials. A prime example of this …

The Reynolds equation, combined with the Elrod algorithm for including the effect of
cavitation, resembles a nonlinear convection–diffusion–reaction (CDR) equation. Its solution …

We consider nonsmooth partial differential equations associated with a minimization of an
energy functional. We adaptively regularize the nonsmooth nonlinearity so as to be able to …

This article proposes a micropolar phase-field model for size-dependent brittle fracture in
solids under electro-mechanical loading conditions. Considering displacement, micro …

Ceramics offer several attractive properties of industrial relevance, eg high strength and
hardness, low thermal conductivity, and chemical inertness in critical environments. There is …