Analysis of a continuous finite element method for \(H(\mathrm{curl},\mathrm{div})\)-elliptic interface problem
type: Item
instance of: scholarly article
title: Analysis of a continuous finite element method for \(H(\mathrm{curl},\mathrm{div})\)-elliptic interface problem
zbMATH Open document ID: 1268.65151
author: Roger C. E. Tan
author: Huo-Yuan Duan
author: Ping Lin
published in: Numerische Mathematik
publication date: 2013-04-03T00:00:00Z
review text: A continuous finite element method to solve the curlcurl-grad\,div interface problem in a three-dimensional polyedron domain is presented. Different anisotropic nonhomogeneous materials are allowed to occupy multiple subdomains of the domain, with the two characteristic coefficients being discontinuous from subdomain to subdomain. With respect to the regularity associated with the problem in material subdomains, the error bound in an energy norm between the exact solution and the continuous finite element solution is proved.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 6150056
zbMATH Keywords: finite element method
zbMATH Keywords: curlcurl-grad\,div interface problem
zbMATH Keywords: error bound
reviewed by: Pavol Chocholatý
describes a project that uses: IIMPACK
MaRDI profile type: Publication
full work available at URL: s00211-012-0500-x
OpenAlex ID: W2100188483
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Analysis of a continuous finite element method for \(H(\mathrm{curl},\mathrm{div})\)-elliptic interface problem (DOI)
DOI: 10.1007/S00211-012-0500-X