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A Posteriori Error Estimation in Finite Element Analysis, Pure and Applied Mathematics
- Publisher
- Emerald Publishing
- Copyright
- Copyright © 2013 Emerald Group Publishing Limited. All rights reserved.
- ISSN
- 0332-1649
- DOI
- 10.1108/03321641311317040
- Publisher site
- See Article on Publisher Site
Abstract
Purpose – In this paper, the aim is to propose a residual‐based error estimator to evaluate the numerical error induced by the computation of the electromagnetic systems using a finite element method in the case of the harmonic A‐ϕ formulation. Design/methodology/approach – The residual based error estimator used in this paper verifies the mathematical property of global and local error estimation (reliability and efficiency). Findings – This estimator used is based on the evaluation of quantities weakly verified in the case of harmonic A‐ϕ formulation. Originality/value – In this paper, it is shown that the proposed estimator, based on the mathematical developments, is hardness in the case of the typical applications.
Journal
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing
Published: Jul 5, 2013
Keywords: Slinky; Finite element method; A posteriori error estimation; Eddy current problems; Harmonic formulation; Finite element analysis; Error analysis