Centroidal Voronoi tessellations (CVTs) have become a useful tool in many applications
ranging from geometric modeling, image and data analysis, and numerical partial differential …

We present a simple and robust Matlab code for polygonal mesh generation that relies on
an implicit description of the domain geometry. The mesh generator can provide, among …

We present a new reconnection-based arbitrary-Lagrangian–Eulerian (ALE) method. The
main elements in a standard ALE simulation are an explicit Lagrangian phase in which the …

In topology optimization literature, the parameterization of design is commonly carried out on
uniform grids consisting of Lagrangian‐type finite elements (eg linear quads). These …

In this paper, we propose an unstructured mesh generation method based on Lagrangian-
particle fluid relaxation, imposing a global optimization strategy. With the presumption that …

A new gradient recovery technique SCR (Superconvergent Cluster Recovery) is proposed
and analyzed for finite element methods. A linear polynomial approximation is obtained by a …

Adaptive meshing of 2D planar regions, curved surfaces as well as 3D volumes has been
extensively studied in Finite Element Analysis (FEA) in the past few decades. Despite the …

In this article we present a high order accurate 2D conservative remap** method for a
general polygonal mesh. This method conservatively projects piecewise constant data from …

In this article we present a 2D conservative remap** method which relies on exact
polygonal mesh in-tersection, high accurate polynomial reconstruction (up to degree 5) and …

In this paper we develop an adaptive edge finite element method based on a reliable and
efficient recovery type a posteriori error estimator for time-harmonic Maxwell equations. The …