Dual weighted residual error estimation for the finite cell method

IF 3.8 2区数学 Q1 MATHEMATICS

Journal of Numerical Mathematics Pub Date : 2019-06-26 DOI:10.1515/jnma-2017-0103

P. Stolfo, A. Rademacher, A. Schröder

引用次数: 14

Abstract

Abstract The paper presents a goal-oriented error control based on the dual weighted residual method (DWR) for the finite cell method (FCM), which is characterized by an enclosing domain covering the domain of the problem. The error identity derived by the DWR method allows for a combined treatment of the discretization and quadrature error introduced by the FCM. We present an adaptive strategy with the aim to balance these two error contributions. Its performance is demonstrated for several two-dimensional examples.

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有限单元法的对偶加权残差估计

摘要针对有限单元法(FCM)，提出了一种基于对偶加权残差法(DWR)的目标导向误差控制方法，该方法的特点是问题的域被一个封闭域覆盖。由DWR方法导出的误差恒等式允许对FCM引入的离散化和正交误差进行组合处理。我们提出了一种自适应策略，旨在平衡这两种误差贡献。通过几个二维算例验证了其性能。

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

Journal of Numerical Mathematics 数学-数学

CiteScore

5.90

自引率

3.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Numerical Mathematics (formerly East-West Journal of Numerical Mathematics) contains high-quality papers featuring contemporary research in all areas of Numerical Mathematics. This includes the development, analysis, and implementation of new and innovative methods in Numerical Linear Algebra, Numerical Analysis, Optimal Control/Optimization, and Scientific Computing. The journal will also publish applications-oriented papers with significant mathematical content in computational fluid dynamics and other areas of computational engineering, finance, and life sciences.