Unified Framework for an A Posteriori Error Analysis of Non-Standard Finite Element Approximations of H(curl)-Elliptic Problems

被引：0
|
作者：
Carstensen, C. [1 ]
Hoppe, Ronald H. W. [2 ,3 ]
机构：
[1] Humboldt Univ, Inst Math, D-10099 Berlin, Germany
[2] Univ Houston, Dept Math, Houston, TX 77201 USA
[3] Univ Augsburg, Inst Math, D-86159 Augsburg, Germany
来源：
ICEAA: 2009 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS, VOLS 1 AND 2 | 2009年
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D O I：
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中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Recently, a unified framework for a residual-based a posteriori error analysis of standard conforming finite element methods as well as non-standard techniques such as nonconforming and mixed methods has been developed. This paper provides such a framework for an a posteriori error control of nonconforming finite element discretizations of H(curl)-elliptic problems as they arise from low-frequency electromagnetics. These nonconforming approximations include, among others, the interior penalty discontinuous Galerkin (IPDG) approach.
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页码：754 / +
页数：2
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