We show both theoretically and numerically a connection between the smoothed finite
element method (SFEM) and the virtual element method and use this approach to derive …

Meshes with curvilinear elements hold the appealing promise of enhanced geometric
flexibility and higher-order numerical accuracy compared to their commonly-used straight …

In this paper, we introduce an innovative approach to generate a high-quality mesh with a
density function in a given domain. Our method involves solving a variational problem that …

Given a set of points together with a set of simplices we show how to compute weights
associated with the points such that the weighted Delaunay triangulation of the point set …

The generation of high-quality staggered unstructured grids is considered, leading to the
development of a new optimisation-based strategy designed to construct weighted 'Regular …

This paper presents a variational method to generate cell complexes with local anisotropy
conforming to the Hessian of any given convex function and for any given local mesh …

We introduce the notion of harmonic triangulations: a harmonic triangulation simultaneously
minimizes the Dirichlet energy of all piecewise linear functions. By a famous result of Rippa …

Triangular meshes play critical roles in many applications, such as numerical simulation and
additive manufacturing. However, the triangular meshes transformed from computer-aided …

Tessellating CAD models into triangular meshes is a long-lasting problem. Size field is
widely used to accommodate varieties of requirements in remeshing, and it is usually …

This article presents an adaptive remeshing strategy between the finite element method
(FEM) and the discrete element method (DEM). To achieve this strategy, an edge‐to‐edge …