A second-order nonconforming rectangular finite element method for approximating Maxwell's equations
type: Item
instance of: scholarly article
title: A second-order nonconforming rectangular finite element method for approximating Maxwell's equations
zbMATH Open document ID: 1279.78018
author: Xiao-bin Hao
author: Dongyang Shi
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2013-03-18T00:00:00Z
review text: The main objective of this paper is to present a new rectangular nonconforming finite element scheme with the second-order convergence behavior for the approximation of Maxwell's equations. Then the corresponding optimal error estimates are derived. The difficulty in the construction of this finite element scheme is how to choose a compatible pair of degrees of freedom and shape function space so as to make the consistency error due to the nonconformity of the element being of order \(O(h^3)\), properly one order higher than that of its interpolation error \(O(h^2)\) in the broken energy norm, where \(h\) is the subdivision parameter tending to zero.
reviewed by: Nina Shokina
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35Q61
zbMATH DE Number: 6145664
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: rectangular nonconforming element
zbMATH Keywords: second-order convergence behavior
zbMATH Keywords: error estimates
MaRDI profile type: Publication
full work available at URL: s10255-011-0103-9
OpenAlex ID: W2006434034
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DOI: 10.1007/S10255-011-0103-9
description: scientific article; zbMATH DE number 6145664