Discontinuous Galerkin Isogeometric Analysis of Convection Problem on Surface

Liang Wang, Chunguang Xiong, Xinpeng Yuan and Huibin Wu
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Liang Wang: Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
Chunguang Xiong: Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China
Xinpeng Yuan: State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, China Meteorological Administration, Beijing 100081, China
Huibin Wu: Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China

Mathematics, 2021, vol. 9, issue 5, 1-12

Abstract: The objective of this work is to study finite element methods for approximating the solution of convection equations on surfaces embedded in R 3 . 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.

Keywords: convection problem; IgA-DG; SPDEs (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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