NDLI: A FEM domain decomposition method for photonic and electromagnetic band gap structures

Content Provider	IEEE Xplore Digital Library
Author	Vouvakis, M.N. Cendes, Z. Jin-Fa Lee
Copyright Year	1963
Abstract	This paper introduces an efficient domain decomposition algorithm for the solution of time-harmonic electromagnetic fields arising in three dimensional, finite-size photonic band gap and electromagnetic band gap structures. The method is based on the finite element approximation and a nonoverlapping domain decomposition method. A set of "cement" unknowns on the inter-domain interfaces has been explicitly introduced to enforce the appropriate field continuities. The introduction of these extra unknowns allows for nonconforming/nonmatching triangulations across domain, eliminating the need for periodic mesh. To ensure and improve the convergence of the outer iteration loop, Robin transmission condition is used to communicate information across interfaces. The resulting system of equations is solved with a fast algorithm that loosely resembles the well known finite element tearing and interconnecting algorithm. In this algorithm, the method solves, in the preprocessing step, for the Robin primal subdomain problems multiple times, by exciting one dual unknown at a time. This step generates an iteration matrix that is then used to update the dual unknowns in the outer-loop iteration. The present method becomes extremely efficient for problems with geometric repetitions, such as, photonic and electromagnetic band gap structures.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	721
Ending Page	733
Page Count	13
File Size	1152638
File Format	PDF
ISSN	0018926X
Volume Number	54
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-02-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Photonic band gap Periodic structures Finite element methods Metamaterials Photonic crystals Electromagnetic analysis Military computing Transmission line matrix methods Finite difference methods Time domain analysis Schwarz methods Domain decomposition methods (DDMs) dual-primal methods electromagnetic band gap (EBG) finite element tearing and interconnecting (FETI) photonic band gap (PBG)
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

A Vector Dual-Primal Finite Element Tearing and Interconnecting Method for Solving 3-D Large-Scale Electromagnetic Problems

Nonconformal FETI-DP Methods for Large-Scale Electromagnetic Simulation

A Domain Decomposition Method With Nonconformal Meshes for Finite Periodic and Semi-Periodic Structures

Preconditioning the FETI Method for Accelerating the Solution of Large EM Scattering Problems

Full-Wave Characterization of Three-Dimensional Photonic Bandgap Structures

Accelerating FDTD Simulations for Eigenfrequency Detection in EBG Devices by Means of the GPOF Method

Triangular Lattice Dielectric EBG Antenna

Microstrip antennas integrated with electromagnetic band-gap (EBG) structures: a low mutual coupling design for array applications

3-D Electromagnetic Scattering Computation in Free-Space With the FETI-FDP2 Method

A FEM domain decomposition method for photonic and electromagnetic band gap structures

Similar Documents

A Vector Dual-Primal Finite Element Tearing and Interconnecting Method for Solving 3-D Large-Scale Electromagnetic Problems

Nonconformal FETI-DP Methods for Large-Scale Electromagnetic Simulation

A Domain Decomposition Method With Nonconformal Meshes for Finite Periodic and Semi-Periodic Structures

Preconditioning the FETI Method for Accelerating the Solution of Large EM Scattering Problems

Full-Wave Characterization of Three-Dimensional Photonic Bandgap Structures

Accelerating FDTD Simulations for Eigenfrequency Detection in EBG Devices by Means of the GPOF Method

Triangular Lattice Dielectric EBG Antenna

Microstrip antennas integrated with electromagnetic band-gap (EBG) structures: a low mutual coupling design for array applications

3-D Electromagnetic Scattering Computation in Free-Space With the FETI-FDP2 Method

A FEM domain decomposition method for photonic and electromagnetic band gap structures