对流扩散方程无稳定器弱伽辽金有限元法的超紧密性分析

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Journal of Applied Analysis and Computation Pub Date : 2021-01-01 DOI:10.11948/20200298

Ahmed Al‐Taweel, S. Hussain, Xiaoshen Wang

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引用次数: 3

摘要

最近，文献[14]提出了一种无稳定器的弱伽辽金(SFWG)方法，该方法更容易实现，效率更高。本文提出了一种求解二维三角形网格上一般二阶椭圆问题的SFWG格式。这种新的SFWG方法将大大减少精确解的l2投影与数值解之间的误差。

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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SUPERCLOSENESS ANALYSIS OF STABILIZER FREE WEAK GALERKIN FINITE ELEMENT METHOD FOR CONVECTION-DIFFUSION EQUATIONS

Recently, a stabilizer free weak Galerkin (SFWG) method is proposed in [14], which is easier to implement and more efficient. In this paper, we developed an SFWG scheme for solving the general second-order elliptic problem on triangular meshes in 2D. This new SFWG method will dramatically reduce the error between the L 2 -projection of the exact solution and the numerical solution.

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来源期刊

Journal of Applied Analysis and Computation MATHEMATICS, APPLIED-

CiteScore

2.30

自引率

9.10%

发文量

期刊介绍： The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.