Toward a universal h - p adaptive finite element strategy: Part 2
Toward a universal h - p adaptive finite element strategy: Part 2
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DOI：
10.1016/0045-7825(89)90130-8
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发表时间：
1989-12
期刊：
影响因子：
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通讯作者：
J. Oden;L. Demkowicz;W. Rachowicz;T. Westermann
中科院分区：
文献类型：
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作者：
J. Oden;L. Demkowicz;W. Rachowicz;T. Westermann
在hp自适应有限元方法系列的第二篇论文中，我们提出了线性椭圆边值问题hp方法的五种不同的后验误差估计技术。这些技术被称为残差估计法、对偶法、子域残差法、基于插值理论的方法和后处理方法。本研究考察了这些技术的理论和行为，特别是应用于hp自适应有限元方法。算例说明了该方法的有效性。
In this second paper of the series on hp adaptive finite element methods, we present five different techniques for a posteriori error estimation of hp methods for linear elliptic boundary value problems. The techniques are referred to as the residual estimation method, the duality method, the subdomain-residual method, a method based on interpolation theory, and a post-processing method. The present study examines the theory and behavior of such techniques applied specifically to hp adaptive finite element methods. Several numerical examples illustrate the efficiency of the methods.