Investigation of an Explicit, Residual-Based, a Posteriori Error Indicator for the Adaptive Finite Element Analysis of Waveguide Structures

Matthys M. Botha; David B. Davidson

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Investigation of an Explicit, Residual-Based, a Posteriori Error Indicator for the Adaptive Finite Element Analysis of Waveguide Structures

机译：显式基于残差的后验误差指示符的研究，用于波导结构的自适应有限元分析

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The performance of an explicit, residual-based, a posteriori error indicator for directing a single level p-refinement of the finite element method, electromagnetic analysis of multi-port waveguide structures is evaluated experimentally by considering three different structures. The error indicator consists of a linear combination of element volume and element face residuals. It is found that the indicator is generally very effective in identifying elements that need to be refined. It is also found that the relative weighting of the volume and face residual contributions to the error indicator plays an important role in its performance.

机译：通过考虑三种不同的结构，通过实验评估了用于指导有限元方法的单级p-细化的显式，基于残差的后验误差指标的性能。误差指示器由元素体积和元素面残差的线性组合组成。发现该指标通常在识别需要细化的元素方面非常有效。还发现，体积和面部剩余对误差指示器的贡献的相对权重在其性能中起重要作用。

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《Applied Computational Electromagnetics Society journal》 |2006年第1期|p.63-71|共9页
作者
Matthys M. Botha; David B. Davidson;
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Department of Electrical and Electronic Engineering, University of Stellenbosch, Private Bag X1, Matieland 7602, Stellenbosch, South Africa;

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正文语种 eng
中图分类电磁学、电动力学;
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1. New recovery error indicator for adaptive finite-element analysis on waveguiding structures [J] . Diaz-Morcillo A.B., Balbastre J.V., Nuno L. IEEE Transactions on Microwave Theory and Techniques . 2003,第5期

机译：波导结构自适应有限元分析的新型恢复误差指标
2. An Explicit A Posteriori Error Indicator for Electromagnetic, Finite Element-Boundary Integral Analysis [J] . Matthys M. Botha, David B. Davidson IEEE Transactions on Antennas and Propagation . 2005,第11期

机译：电磁有限元边界积分分析的显式后验误差指标
3. 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
4. A simple error estimator for adaptive finite element analysis in waveguiding structures [C] . Diaz-Morcillo, A., Nuno, . 1999

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5. Multiscale a posteriori error estimation and mesh adaptivity for reliable finite element analysis. [D] . ElSheikh, Ahmed H. 2007

机译：多尺度后验误差估计和网格自适应性，用于可靠的有限元分析。
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. New recovery error indicator for adaptive finite-element analysis on waveguiding structures [O] . Díaz Morcillo, Alejandro Benedicto, Balbastre Tejedor, Juan Vicente, Nuño Fernández, Luis 2003

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8. Self-Adaptive Finite Element (FE) Analysis of Solid Structures. Part 1: Element Formulation and a Posteriori Error Estimation [R] . Andersson, B., Falk, U., Jarlaas, R. 1986

机译：固体结构的自适应有限元分析。第1部分：元素公式和后验误差估计

Investigation of an Explicit, Residual-Based, a Posteriori Error Indicator for the Adaptive Finite Element Analysis of Waveguide Structures

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