In this work we develop new finite element discretisations of the shear-deformable Reissner–
Mindlin plate problem based on the Hellinger–Reissner principle of symmetric stresses …

A model based on the Physics-Informed Neural Networks (PINN) for solving elastic
deformation of heterogeneous solids and associated Uncertainty Quantification (UQ) is …

Abstract The Finite Element Method (FEM) suffers from important drawbacks in problems
involving excessive deformation of elements despite being universally applied to a wide …

We develop a method to compute H 2-conforming finite element approximations in both two
and three space dimensions using readily available finite element spaces. This is …

The Arnold–Winther element successfully discretizes the Hellinger–Reissner variational
formulation of linear elasticity; its development was one of the key early breakthroughs of the …

We study parameterisation-independent closed planar curve matching as a Bayesian
inverse problem. The motion of the curve is modelled via a curve on the diffeomorphism …

The Landau--Lifshitz--Baryakhtar equation describes the evolution of magnetic spin field in
magnetic materials at elevated temperature below the Curie temperature, when long-range …

The symmetric C0 interior penalty method is one of the most popular discontinuous Galerkin
methods for the biharmonic equation. This paper introduces an automatic local selection of …

We develop a method to compute the-conforming finite element approximation to planar
fourth order elliptic problems without having to implement elements. The algorithm consists …

FIAT (the FInite element Automatic Tabulator) provides a powerful Python library for the
generation and evaluation of finite element basis functions on a reference element. This …