标量双井问题的自适应有限元方法

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED Numerical Methods for Partial Differential Equations Pub Date : 2024-03-08 DOI:10.1002/num.23096

Bingzhen Li, Dongjie Liu

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引用次数: 0

摘要

一些标量双井问题最终会导致具有唯一应力的退化凸最小化问题。我们考虑了标量双井问题的自适应共形和非共形有限元方法，并进行了可靠的后验误差分析。大量实验证实了这些方法的有效衰减率。

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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Adaptive finite element methods for scalar double‐well problem

Some scalar double‐well problems eventually lead to a degenerate convex minimization problem with unique stress. We consider the adaptive conforming and nonconforming finite element methods for the scalar double‐well problem with the reliable a posteriori error analysis. A number of experiments confirm the effective decay rates of the methods.

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来源期刊

Numerical Methods for Partial Differential Equations 数学-应用数学

CiteScore

7.20

自引率

2.60%

发文量

审稿时长

9 months

期刊介绍： An international journal that aims to cover research into the development and analysis of new methods for the numerical solution of partial differential equations, it is intended that it be readily readable by and directed to a broad spectrum of researchers into numerical methods for partial differential equations throughout science and engineering. The numerical methods and techniques themselves are emphasized rather than the specific applications. The Journal seeks to be interdisciplinary, while retaining the common thread of applied numerical analysis.