Convergence analysis of finite element methods for H(curl; Omega)-elliptic interface problems

	Convergence analysis of finite element methods for H(curl; Omega)-elliptic interface problems
	Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
刊名	Numerische Mathematik
	2012
英文摘要	In this article we investigate the analysis of a finite element method for solving H(curl; Omega)-elliptic interface problems in general three-dimensional polyhedral domains with smooth interfaces. The continuous problems are discretized by means of the first family of lowest order N,d,lec H(curl; Omega)-conforming finite elements on a family of tetrahedral meshes which resolve the smooth interface in the sense of sufficient approximation in terms of a parameter delta that quantifies the mismatch between the smooth interface and the triangulation. Optimal error estimates in the H(curl; Omega)-norm are obtained for the first time. The analysis is based on a delta-strip argument, a new extension theorem for H (1)(curl; Omega)-functions across smooth interfaces, a novel non-standard interface-aware interpolation operator, and a perturbation argument for degrees of freedom for H(curl; Omega)-conforming finiteelements. Numerical tests are presented to verify the theoretical predictions and confirm the optimal order convergence of the numerical solution.
收录类别	SCI
原文出处	http://link.springer.com/article/10.1007/s00211-012-0468-6
语种	英语
内容类型	期刊论文
源URL	[http://ir.siat.ac.cn:8080/handle/172644/4162]
专题	深圳先进技术研究院_数字所
作者单位	Numerische Mathematik
推荐引用方式 GB/T 7714	Hiptmair, Ralf,Li, Jingzhi,Zou, Jun. Convergence analysis of finite element methods for H(curl; Omega)-elliptic interface problems[J]. Numerische Mathematik,2012.
APA	Hiptmair, Ralf,Li, Jingzhi,&Zou, Jun.(2012).Convergence analysis of finite element methods for H(curl; Omega)-elliptic interface problems.Numerische Mathematik.
MLA	Hiptmair, Ralf,et al."Convergence analysis of finite element methods for H(curl; Omega)-elliptic interface problems".Numerische Mathematik (2012).