二维非线性对流扩散问题的弱伽辽金方法的误差收敛性

Poincare Journal of Analysis and Applications Pub Date : 2023-06-30 DOI:10.46753/pjaa.2023.v010i01.001

Ala N. Abdullah, Hashim A. Kashkool

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引用次数: 0

摘要

．本文给出了用Crank-Nicolson-Weak Galerkin有限元法求解二维非线性对流扩散方程的全离散格式。我们介绍并分析了稳定性。证明了(l2和h1)范数的误差估计和最优阶。通过数值算例验证了理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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THE ERROR CONVERGENCE OF THE WEAK GALERKIN METHOD FOR TWO-DIMENSIONAL NON-LINEAR CONVECTION-DIFFUSION PROBLEM

. This paper presents the fully-discrete scheme for the solution of two-dimensional non-linear convection diffusion equations by using the Crank-Nicolson-Weak Galerkin finite element methods. We introduce and analyze stability. The error estimate and an optimal order of ( L 2 and H 1 )-norm are proved. We confirm the theoretical results with some numerical examples.

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来源期刊

Poincare Journal of Analysis and Applications Mathematics-Applied Mathematics

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0.60

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0.00%

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