A priori and a posteriori error analysis of the first order hyperbolic equation by using DG method
In this research article, a discontinuous Galerkin method with a weighted parameter θ and a penalty parameter γ is proposed for solving the first order hyperbolic equation. The key aim of this method is to design an error estimation for both a priori and a posteriori error analysis on general finite...
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| Veröffentlicht in: | PloS one 2023-03, Vol.18 (3), p.e0277126-e0277126 |
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| creator | Hossain, Muhammad Shakhawat Xiong, Chunguang Sun, Huafei |
| description | In this research article, a discontinuous Galerkin method with a weighted parameter θ and a penalty parameter γ is proposed for solving the first order hyperbolic equation. The key aim of this method is to design an error estimation for both a priori and a posteriori error analysis on general finite element meshes. It is also exposed to the reliability and effectiveness of both parameters in the order of convergence of the solutions. For a posteriori error estimation, residual adaptive mesh- refining algorithm is employed. A series of numerical experiments are illustrated that demonstrate the efficiency of the method. |
| doi_str_mv | 10.1371/journal.pone.0277126 |
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order hyperbolic equation. The key aim of this method is to design an error estimation for both a priori and a posteriori error analysis on general finite element meshes. It is also exposed to the reliability and effectiveness of both parameters in the order of convergence of the solutions. For a posteriori error estimation, residual adaptive mesh- refining algorithm is employed. A series of numerical experiments are illustrated that demonstrate the efficiency of the method.</abstract><cop>United States</cop><pub>Public Library of Science</pub><pmid>36996053</pmid><doi>10.1371/journal.pone.0277126</doi><tpages>e0277126</tpages><orcidid>https://orcid.org/0000-0001-7509-4652</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Adaptive algorithms Algorithms Analysis Approximation Computer and Information Sciences Data mining Differential equations Engineering and Technology Error analysis Evaluation Finite Element Analysis Finite element method Functions, Exponential Galerkin method Hypotheses Mathematical functions Methods Numerical experiments Parameters Partial differential equations Physical Sciences Records Reproducibility of Results Research and Analysis Methods |
| title | A priori and a posteriori error analysis of the first order hyperbolic equation by using DG method |
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