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Everything You Always Wanted to Know about A-Posteriori Error Estimation in Finite Element Methods, But Were Afraid to Ask; Analysis rept

机译：你总是想知道关于有限元方法中的后验误差估计的一切，但是不敢问;分析报告

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In this paper the basic concepts to obtain a-posteriori error estimates for the finite element method are reviewed. Explicit residual-based, implicit (namely subdomain and element) residual-based, hierarchical-based, recovery-base and functional-based error estimators as well as goal oriented error estimators are presented for a test elliptic boundary value problem. These notes are an introductory presentation, reviewing in a not-too-technical way the fundamental concepts involved in the subject and do not aim at being exhaustive or complete but rather simple and easy to follow.

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作者
Ferracina, L.;
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年度 2007
页码 p.1-24
总页数 24
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Finite element method; Errors; Estimation; Boundary value problems; Differential equations; Mathematical models;

机译：有限元法;误差;估计;边值问题;微分方程;数学模型;

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专利

1. An adaptive mesh refinement using a-posteriori finite element error estimation [J] . H. Wu, I. G. Currie Transactions of the Canadian Society for Mechanical Engineering . 2000,第1B期

机译：使用后验有限元误差估计的自适应网格细化
2. A-posteriori error estimation for the finite point method with applications to compressible flow [J] . Ortega Enrique, Flores Roberto, Onate Eugenio, Computational Mechanics: Solids, Fluids, Fracture Transport Phenomena and Variational Methods . 2017,第2期

机译：A-Boutheri误差估计用于压缩流量的有限点方法
3. An a-posteriori error estimator for linear elastic fracture mechanics using the stable generalized/extended finite element method [J] . Lins R. M., Ferreira M. D. C., Proenca S. P. B., Computational Mechanics: Solids, Fluids, Fracture Transport Phenomena and Variational Methods . 2015,第6期

机译：使用稳定广义/扩展有限元方法的线性弹性断裂力学的后验误差估计
4. Recent Progress on A-posteriori Error Analysis for the p and h-p Finite Element Methods [C] . Benqi Guo Proceedings of International Conference on Recent Advances in Adaptive Computation . 2005

机译：p和h-p有限元方法的A后验误差分析的最新进展
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. Error Estimation of Nanoindentation Mechanical Properties Near a Dissimilar Interface via Finite Element Analysis and Analytical Solution Methods [O] . Y. Zhao, T. C. Ovaert -1

机译：通过有限元分析和解析解方法的误差压痕力学性能接近相异接口的估计
7. A-posteriori error analysis of hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic problems [O] . Houston P., Suli Endre, Wihler Thomas P. 2006

机译：二阶拟线性椭圆问题的hp版本不连续Galerkin有限元方法的后验误差分析
8. A-Posteriori Estimation and Adaptive Control of the Pollution-Error in the h-Version of the Finite Element Method [R] . Babuska, I., Strouboulis, T., Upadhyay, C. S., 1994

机译：有限元法h版本污染误差的后验估计与自适应控制

Everything You Always Wanted to Know about A-Posteriori Error Estimation in Finite Element Methods, But Were Afraid to Ask; Analysis rept

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