A posteriori error estimation for generalized finite element methods

Theofanis Strouboulis; Lin Zhang; Delin Wang; Ivo Babuska

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A posteriori error estimation for generalized finite element methods

机译：广义有限元方法的后验误差估计

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摘要

In this paper we address the problem of a posteriori error estimation for generalized finite element methods based on the partition of unity method. The computational results focus on the question of the reliability of the error estimators and its assessment.

机译：在本文中，我们解决了基于统一方法划分的广义有限元方法的后验误差估计问题。计算结果集中在误差估计器及其评估的可靠性问题上。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2006年第12期|p.852-879|共28页
作者
Theofanis Strouboulis; Lin Zhang; Delin Wang; Ivo Babuska;
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作者单位

Department of Aerospace Engineering, Texas A & M University, College Station, TX 77843, USA;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
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1. A posteriori error estimation and adaptivity in the method of lines with mixed finite elements [J] . Brandts Jan H. Applications of mathematics . 1999,第6期

机译：混合有限元线法中的后验误差估计和适应性
2. Residual-based a posteriori error estimation for ftp-adaptive finite element methods for the Stokes equations [J] . Ghesmati Arezou, Bangerth Wolfgang, Turcksin Bruno Journal of numerical mathematics . 2019,第4期

机译：用于Stokes方程的ftp自适应有限元方法的基于残差的后验误差估计
3. Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods [J] . He Cuiyu, Zhang Xu Journal of Scientific Computing . 2019,第3期

机译：基于残余的浸没有限元方法的后验误差估计
4. First Attempts at A Posteriori Error Estimation in eXtended Finite Element Methods [C] . S. Bordas, M. Duflot UK Conference of the Association of Computational Mechanics in Engineering . 2007

机译：在扩展有限元方法中首先尝试后验误差估计
5. A flexible Galerkin finite element method with an a posteriori discontinuous finite element error estimation for hyperbolic problems. [D] . Massey, Thomas Christopher. 2002

机译：具有双曲线问题的后验不连续有限元误差估计的灵活Galerkin有限元方法。
6. A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay [O] . Wansheng Wang, Lijun Yi, Aiguo Xiao -1

机译：时滞广义扩散方程全离散有限元法的后验误差估计。
7. A posteriori error estimation and adaptivity in the method of lines with mixed finite elements [O] . Brandts, Jan H. 1999

机译：混合有限元线法中的后验误差估计和适应性
8. Feedback Finite Element Method with a Posteriori Error Estimation. Part 1. The Finite Element Method and Some Basic Properties of the A Posteriori Error Estimator. [R] . Babuska, I., Miller, A. 1984

机译：具有后验误差估计的反馈有限元方法。第1部分：后验误差估计的有限元方法和一些基本性质。

A posteriori error estimation for generalized finite element methods

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