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A simple technique for unstructured mesh generation via adaptive finite elements

Numerical Analysis 2021-02-02 v2 Mathematical Software Numerical Analysis

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.

Keywords

Cite

@article{arxiv.2011.07919,
  title  = {A simple technique for unstructured mesh generation via adaptive finite elements},
  author = {Tom Gustafsson},
  journal= {arXiv preprint arXiv:2011.07919},
  year   = {2021}
}
R2 v1 2026-06-23T20:16:55.251Z