@Article{AAMM-8-693, author = {Lu , HongqiangCao , KaiBian , Lechao and Wu , Yizhao}, title = {High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {8}, number = {4}, pages = {693--702}, abstract = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m618}, url = {http://global-sci.org/intro/article_detail/aamm/12110.html} }