Robust A Posteriori Error Estimation for Finite Element Approximation to H(curl) Problem

• Published in: arXiv.org
• Main Authors: Cai, Zhiqiang, Cao, Shuhao, Falgout, Rob
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 07.06.2016
• Subjects: Approximation; Constitutive equations; Constitutive relationships; Electric fields; Errors; Finite element method; Inhomogeneous media; Mathematical analysis; Mathematics - Numerical Analysis; Recovery; Robustness (mathematics)

In this paper, we introduce a novel a posteriori error estimator for the conforming finite element approximation to the H(curl) problem with inhomogeneous media and with the right-hand side only in L^2. The estimator is of the recovery type. Independent with the current approximation to the primary...