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Volume 8, Issue 4
High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation

Hongqiang Lu, Kai Cao, Lechao Bian & Yizhao Wu

DOI: 10.4208/aamm.2014.m618

Adv. Appl. Math. Mech., 8 (2016), pp. 693-702.

Published online: 2018-05

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  • 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.

  • Keywords

Curved mesh generation, discontinuous Galerkin methods, elastic deformation, Lagrangian finite element.

  • AMS Subject Headings

35L67, 65M60

  • Copyright

COPYRIGHT: © Global Science Press

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@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} }
TY - JOUR T1 - High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation AU - Lu , Hongqiang AU - Cao , Kai AU - Bian , Lechao AU - Wu , Yizhao JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 693 EP - 702 PY - 2018 DA - 2018/05 SN - 8 DO - http://doi.org/10.4208/aamm.2014.m618 UR - https://global-sci.org/intro/article_detail/aamm/12110.html KW - Curved mesh generation, discontinuous Galerkin methods, elastic deformation, Lagrangian finite element. AB -

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.

Lu , HongqiangCao , KaiBian , Lechao and Wu , Yizhao. (2018). High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation. Advances in Applied Mathematics and Mechanics. 8 (4). 693-702. doi:10.4208/aamm.2014.m618
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