Discontinuous galerkin isogeometric analysis of convection problem on surface

Liang Wang; Chunguang Xiong; Xinpeng Yuan; Huibin Wu

doi:10.3390/math9050497

Discontinuous galerkin isogeometric analysis of convection problem on surface

Liang Wang, Chunguang Xiong^*, Xinpeng Yuan, Huibin Wu

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

The objective of this work is to study finite element methods for approximating the solution of convection equations on surfaces embedded in R³ . We propose the discontinuous Galerkin (DG) isogeometric analysis (IgA) formulation to solve convection problems on implicitly defined surfaces. Three numerical experiments shows that the numerical scheme converges with the optimal convergence order.

源语言	英语
文章编号	497
页（从-至）	1-12
页数	12
期刊	Mathematics
卷	9
期	5
DOI	https://doi.org/10.3390/math9050497
出版状态	已出版 - 1 3月 2021

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Wang, L., Xiong, C., Yuan, X., & Wu, H. (2021). Discontinuous galerkin isogeometric analysis of convection problem on surface. Mathematics, 9(5), 1-12. 文章 497. https://doi.org/10.3390/math9050497

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abstract = "The objective of this work is to study finite element methods for approximating the solution of convection equations on surfaces embedded in R3 . We propose the discontinuous Galerkin (DG) isogeometric analysis (IgA) formulation to solve convection problems on implicitly defined surfaces. Three numerical experiments shows that the numerical scheme converges with the optimal convergence order.",

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AU - Wang, Liang

AU - Xiong, Chunguang

AU - Yuan, Xinpeng

AU - Wu, Huibin

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Y1 - 2021/3/1

N2 - The objective of this work is to study finite element methods for approximating the solution of convection equations on surfaces embedded in R3 . We propose the discontinuous Galerkin (DG) isogeometric analysis (IgA) formulation to solve convection problems on implicitly defined surfaces. Three numerical experiments shows that the numerical scheme converges with the optimal convergence order.

AB - The objective of this work is to study finite element methods for approximating the solution of convection equations on surfaces embedded in R3 . We propose the discontinuous Galerkin (DG) isogeometric analysis (IgA) formulation to solve convection problems on implicitly defined surfaces. Three numerical experiments shows that the numerical scheme converges with the optimal convergence order.

KW - Convection problem

KW - IgA-DG

KW - SPDEs

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Discontinuous galerkin isogeometric analysis of convection problem on surface

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