@Article{AAMM-8-4,
author = {Lu, Hongqiang and Kai, Cao and Lechao, Bian and Yizhao, Wu},
title = {High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2016},
volume = {8},
number = {4},
pages = {693--702},
abstract = {<p style="text-align: justify;">In this paper, a high-order curved mesh generation method for Discontinuous
Galerkin methods is introduced. First, a regular mesh is generated. Second,
the solid surface is re-constructed using cubic polynomial. Third, the elastic governing
equations are solved using high-order finite element method to provide a fully
or partly curved grid. Numerical tests indicate that the intersection between element
boundaries can be avoided by carefully defining the elasticity modulus.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m618},
url = {https://global-sci.com/article/73354/high-order-mesh-generation-for-discontinuous-galerkin-methods-based-on-elastic-deformation}
}