Weak Galerkin finite element method for solving one-dimensional coupled Burgers' equations

Hussein Ahmed J.; Kashkool Hashim A.

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Weak Galerkin finite element method for solving one-dimensional coupled Burgers' equations

机译：弱Galerkin有限元方法，用于求解一维耦合汉堡方程

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In this paper, we apply a weak Galerkin method for solving one dimensional coupled Burgers' equations. Based on a conservation form for nonlinear term and some of the technical derivational. Theorticly, we drive the optimal order error in L-2 and H-1 norm for both continuous and discrete time weak Galerkin finite element schemes, also the stability of continuous time weak Galerkin finite element method is proved. Numerically, the accuracy and effectiveness of the weak Galerkin finite element method are illustrated by using Numerical examples with the lower order Raviart-Thomas element RTk for discrete weak derivative space.

机译：在本文中，我们应用了一种弱Galerkin方法，用于求解一维耦合汉堡的方程。基于非线性术语的保护形式和一些技术衍生物。主地图，我们在L-2和H-1标准中驾驶最佳顺序误差，用于连续和离散时间弱Galerkin有限元件方案，也证明了连续时间弱Galerkin有限元方法的稳定性。在数值上，通过使用具有下阶Rawiart-Thomas元件RTK的数值示例来说明弱Galerkin有限元方法的精度和有效性，用于离散弱衍生空间。

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《Journal of Applied Mathematics and Computing》 |2020年第2期|共29页
作者
Hussein Ahmed J.; Kashkool Hashim A.;
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作者单位

Univ Basrah Coll Educ Pure Sci Basrah Iraq;

Univ Basrah Coll Educ Pure Sci Basrah Iraq;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Weak Galerkin finite element method (WG-FEM); Burgers' equations; Optimal order;

机译：弱Galerkin有限元方法（WG-FEM）;汉堡方程;最优秩序;

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1. Weak Galerkin finite element method for solving one-dimensional coupled Burgers' equations [J] . Hussein Ahmed J., Kashkool Hashim A. Journal of Applied Mathematics and Computing . 2020,第1a2期

机译：弱Galerkin有限元方法，用于求解一维耦合汉堡方程
2. A weak Galerkin finite element method for Burgers' equation [J] . Chen Yanli, Zhang Tie Journal of Computational and Applied Mathematics . 2019,第期

机译：汉堡等式的弱Galerkin有限元方法
3. Local discontinuous Galerkin method for solving Burgers and coupled Burgers equations [J] . Zhang Rong-Pei, Yu Xi-Jun, Zhao Guo-Zhong 中国物理：英文版 . 2011,第011期

机译：求解Burgers和耦合Burgers方程的局部间断Galerkin方法
4. A New Method for Coupling Finite Element Field an Efficient Technique for Solving the Coupled Finite Solutions with External Circuits and Kinematics Element and Circuit Equations [C] . Bedrosian, G. . 2001

机译：一种耦合有限元场的新方法，一种解决与外部电路，运动学和电路方程耦合的有限解的有效技术
5. Weak Galerkin Finite Element Methods for Elasticity and Coupled Flow Problems [D] . Harper, Graham Bennett. 2020

机译：弹性和耦合流动问题的弱Galerkin有限元方法
6. Nonstandard finite difference method for solving complex-order fractional Burgers’ equations [O] . N.H. Sweilam, S.M. AL-Mekhlafi, D. Baleanu 2020

机译：非标准有限差分方法用于解决复杂阶分数汉堡方程
7. A weak Galerkin finite element method for Burgers' equation [O] . Chen, Yanli, Zhang, Tie 2016

机译：Burgers方程的弱Galerkin有限元方法
8. Solving a Parabolic Equation by the Combined Discontinuous-Galerkin Petrov-Galerkin Finite Element Method [R] . Freund, J. 1990

机译：用petrov-Galerkin有限元方法求解抛物型方程

Weak Galerkin finite element method for solving one-dimensional coupled Burgers' equations

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