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

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Article number	497
Pages (from-to)	1-12
Number of pages	12
Journal	Mathematics
Volume	9
Issue number	5
DOIs	https://doi.org/10.3390/math9050497
Publication status	Published - 1 Mar 2021

Keywords

Convection problem
IgA-DG
SPDEs

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10.3390/math9050497

Cite this

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title = "Discontinuous galerkin isogeometric analysis of convection problem on surface",

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.",

keywords = "Convection problem, IgA-DG, SPDEs",

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AU - Wang, Liang

AU - Xiong, Chunguang

AU - Yuan, Xinpeng

AU - Wu, Huibin

PY - 2021/3/1

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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U2 - 10.3390/math9050497

DO - 10.3390/math9050497

M3 - Article

AN - SCOPUS:85102557873

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VL - 9

SP - 1

EP - 12

JO - Mathematics

JF - Mathematics

IS - 5

M1 - 497

ER -

Discontinuous galerkin isogeometric analysis of convection problem on surface

Abstract

Keywords

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