The development of higher order finite elements methods has become an active research area. The deformation method for mesh generation has achieved a prescribed positive Jacobian determinant constraint and it has been a useful method for mesh adaptation. In this work, the deformation method is combined with local refinement to generate higher order meshes. 2D and 3D numerical examples of element order p=3 are shown to demonstrate the effectiveness of our new algorithm.
@article{arxiv.1710.00291,
title = {A Novel Deformation Method for Higher Order Mesh Generation},
author = {Zicong Zhou and Xi Chen and Guojun Liao},
journal= {arXiv preprint arXiv:1710.00291},
year = {2017}
}