Averaging technique for FE - a posteriori error control in elasticity. Part I: Conforming FEM

Carsten Carstensen; Stefan A.Funken

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Averaging technique for FE - a posteriori error control in elasticity. Part I: Conforming FEM

机译：FE的平均技术-弹性的后验误差控制。第一部分：符合FEM

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Averaging techniques are popular tools in adaptive finite element methods for the numerical treatment of second-order partial differential equations since they provide efficient a posteriori error estimates by a simple postprocessing. In this paper, the reliability of any averaging estimator is shown for low order finite element methods in elasticity. Theoretical and numerical evidence supports that the reliability is up to the smoothness of given right-hand sides and independent of the structure of a shape-regular mesh.

机译：平均技术是自适应有限元方法中用于二阶偏微分方程数值处理的流行工具，因为它们可通过简单的后处理提供有效的后验误差估计。在本文中，对于弹性的低阶有限元方法，显示了任何平均估计量的可靠性。理论和数值证据表明，可靠性取决于给定右侧的平滑度，并且与形状规则的网格结构无关。

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《Computer Methods in Applied Mechanics and Engineering》 |2001年第19期|p.2483-2498|共16页
作者
Carsten Carstensen; Stefan A.Funken;
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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;
关键词
Elasticity; A posteriori error estimates; Adaptive algorithm; Reliability;

机译：弹性;后验误差估计;自适应算法;可靠性;

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1. Averaging technique for a posteriori error control in elasticity. Part Ⅲ: Locking-free nonconforming FEM [J] . Carsten Carstensen, Stefan A. Funken Computer Methods in Applied Mechanics and Engineering . 2001,第8a10期

机译：弹性后验误差控制的平均技术。第三部分：无锁不合格有限元
2. Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM [J] . Carstensen C., Bartels S. Mathematics of computation . 2002,第239期

机译：每种平均技术在非结构化网格上的FEM中都产生可靠的后验误差控制。第一部分：低阶合格，不合格和混合有限元
3. Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM [J] . Bartels S., Carstensen C. Mathematics of computation . 2002,第239期

机译：每种平均技术在非结构化网格上的FEM中都产生可靠的后验误差控制。第二部分：高阶有限元
4. A Synthesis of A Posteriori Error Estimation Techniques for Conforming, Non-Conforming and Discontinuous Galerkin Finite Element Methods [C] . Mark Ainsworth Proceedings of International Conference on Recent Advances in Adaptive Computation . 2005

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5. Carrier-based current control techniques with a zero average PWM-cycle current error. [D] . Wang, Liping. 2006

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6. A posteriori error estimates for the Johnson–Nédélec FEM–BEM coupling [O] . M. Aurada, M. Feischl, M. Karkulik, -1

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7. Averaging Technique For FE-A Posteriori Error Control In Elasticity. Part I: Conforming Fem [O] . Carsten Carstensen, Stefan A. Funken 1999

机译：弹性有限元后验误差控制的平均技术。第一部分：合规女性

Averaging technique for FE - a posteriori error control in elasticity. Part I: Conforming FEM

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