A simple technique for unstructured mesh generation via adaptive finite elements

TL;DR

This paper introduces a straightforward method to generate triangular meshes using adaptive finite element techniques combined with mesh smoothing, enabling efficient and robust mesh creation.

Contribution

It repurposes adaptive finite element solvers for mesh generation by integrating a robust mesh smoothing algorithm between refinement steps.

Findings

Generated meshes are of high quality and suitable for finite element analysis.

The method is demonstrated through practical examples.

The approach simplifies mesh generation processes.

Abstract

This work describes a concise algorithm for the generation of triangular meshes with the help of standard adaptive finite element methods. We demonstrate that a generic adaptive finite element solver can be repurposed into a triangular mesh generator if a robust mesh smoothing algorithm is applied between the mesh refinement steps. We present an implementation of the mesh generator and demonstrate the resulting meshes via examples.