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Article

Discontinuous Galerkin Isogeometric Analysis of Convection Problem on Surface

1
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
2
State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, China Meteorological Administration, Beijing 100081, China
*
Author to whom correspondence should be addressed.
Academic Editor: Carlo Cattani
Mathematics 2021, 9(5), 497; https://doi.org/10.3390/math9050497
Received: 20 January 2021 / Revised: 24 February 2021 / Accepted: 25 February 2021 / Published: 28 February 2021
(This article belongs to the Special Issue Advanced Methods in Computational Mathematical Physics)
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. View Full-Text
Keywords: convection problem; IgA-DG; SPDEs convection problem; IgA-DG; SPDEs
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MDPI and ACS Style

Wang, L.; Xiong, C.; Yuan, X.; Wu, H. Discontinuous Galerkin Isogeometric Analysis of Convection Problem on Surface. Mathematics 2021, 9, 497. https://doi.org/10.3390/math9050497

AMA Style

Wang L, Xiong C, Yuan X, Wu H. Discontinuous Galerkin Isogeometric Analysis of Convection Problem on Surface. Mathematics. 2021; 9(5):497. https://doi.org/10.3390/math9050497

Chicago/Turabian Style

Wang, Liang; Xiong, Chunguang; Yuan, Xinpeng; Wu, Huibin. 2021. "Discontinuous Galerkin Isogeometric Analysis of Convection Problem on Surface" Mathematics 9, no. 5: 497. https://doi.org/10.3390/math9050497

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