An error analysis of the cn weighed dg θ method of the convection equation

Muhammad Shakhawat Hossain; Chunguang Xiong

doi:10.3390/math9090970

An error analysis of the cn weighed dg θ method of the convection equation

Muhammad Shakhawat Hossain, Chunguang Xiong^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

Abstract

In this research paper, a weighed DG finite element method is proposed for solving convection equations with an easy execution and analysis. The key aim of this method is to design an error estimation for space and time of a discontinuous approximation on general finite element meshes. The efficiency of the parameter θ in the order of convergence of the solutions is also exposed. Some numerical examples were tested that demonstrated the strength and flexibility of the method.

Original language	English
Article number	970
Journal	Mathematics
Volume	9
Issue number	9
DOIs	https://doi.org/10.3390/math9090970
Publication status	Published - 1 May 2021

Keywords

CN-DG θ method
Convection equation
Error analysis
Hyperbolic problems

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10.3390/math9090970

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abstract = "In this research paper, a weighed DG finite element method is proposed for solving convection equations with an easy execution and analysis. The key aim of this method is to design an error estimation for space and time of a discontinuous approximation on general finite element meshes. The efficiency of the parameter θ in the order of convergence of the solutions is also exposed. Some numerical examples were tested that demonstrated the strength and flexibility of the method.",

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AB - In this research paper, a weighed DG finite element method is proposed for solving convection equations with an easy execution and analysis. The key aim of this method is to design an error estimation for space and time of a discontinuous approximation on general finite element meshes. The efficiency of the parameter θ in the order of convergence of the solutions is also exposed. Some numerical examples were tested that demonstrated the strength and flexibility of the method.

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KW - Hyperbolic problems

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An error analysis of the cn weighed dg θ method of the convection equation

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Keywords

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