NDLI: Non-conforming finite element tearing and interconnecting method with one Lagrange multiplier for solving large-scale electromagnetic problems

Content Provider	IET Digital Library
Author	Lü, Zhi Qing An, Xiang
Abstract	A non-conforming finite element tearing and interconnecting method is proposed for the numerical analysis of large-scale three-dimensional electromagnetic problems. The whole computational domain is partitioned into many smaller subdomains, and a Robin-type transmission condition is introduced at the shared interfaces to exchange data among subdomains. A set of orthogonal polynomials is introduced to approximate auxiliary unknowns between adjacent subdomains. Then, a one-Lagrange multiplier scheme is applied to deal with non-conforming meshes at the interfaces. With the help of the Schur complement approach, the method formulates a reduced-order interface problem, which can be solved using an iterative algorithm. Once the resulting interface problem is solved, the unknown electric field in each subdomain can be calculated in parallel. Numerical examples are given to demonstrate the efficiency of the method.
Starting Page	730
Ending Page	735
Page Count	6
ISSN	17518725
Volume Number	8
e-ISSN	17518733
Issue Number	Issue 10, Jul (2014)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-map/8/10
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-map.2013.0254
Journal	IET Microwaves, Antennas & Propagation
Publisher Date	2014-03-13
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Electromagnetic Problem Electromagnetic Wave Electromagnetic Wave Propagation Finite Element Analysis Interconnecting Method Interpolation And Function Approximation Iterative Algorithm Lagrange Multiplier Nonconforming Finite Element Tearing Numerical Analysis Numerical Approximation And Analysis Orthogonal Polynomials Polynomial Robin-type Transmission Condition Schur Complement Approach Solving Large-scale Electromagnetic Problem
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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