A Posteriori Improvement in Projection Method

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-07-24 DOI:10.37394/23206.2023.22.60

Yu. K. Dem’yanovich, I. Burova

引用次数: 0

Abstract

This work is devoted to the renement of the approximate solution, obtained by the projection method. The proposed approach uses expanding the design space by adding new coordinate functions. As a result, it is possible to clarify previously obtained solution using small computer resources. Applying this approach to the finite element method allows produce a local renement of the mentioned solution. Suggested Approach illustrated in the finite element method for a boundary value problem second order in one-dimensional and two-dimensional cases.

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投影法的后验改进

本文致力于用投影法得到的近似解的修正。该方法通过增加新的坐标函数来扩展设计空间。因此，可以使用小型计算机资源澄清先前获得的解决方案。将这种方法应用于有限元方法可以产生上述解的局部修正。在一维和二维情况下二阶边值问题的有限元方法中给出了建议的方法。

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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来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.