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 several examples.
%0 Generic
%1 gustafsson2020simple
%A Gustafsson, Tom
%D 2020
%K 65-04-numerical-analysis-software-source-code 65n50-pdes-bvps-mesh-generation-and-refinement
%T A simple technique for unstructured mesh generation via adaptive finite elements
%U http://arxiv.org/abs/2011.07919
%X 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 several examples.
@misc{gustafsson2020simple,
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 several examples.},
added-at = {2021-01-20T05:47:56.000+0100},
author = {Gustafsson, Tom},
biburl = {https://www.bibsonomy.org/bibtex/2b2a6c44fc5af52dcec7d77cba6faac53/gdmcbain},
interhash = {9e4775780de12aeb448a65eb5949c240},
intrahash = {b2a6c44fc5af52dcec7d77cba6faac53},
keywords = {65-04-numerical-analysis-software-source-code 65n50-pdes-bvps-mesh-generation-and-refinement},
note = {cite arxiv:2011.07919},
timestamp = {2021-01-21T05:39:28.000+0100},
title = {A simple technique for unstructured mesh generation via adaptive finite elements},
url = {http://arxiv.org/abs/2011.07919},
year = 2020
}