Please wait, while we are loading the content...
Please wait, while we are loading the content...
Content Provider | IEEE Xplore Digital Library |
---|---|
Author | Zhen Peng Jin-Fa Lee |
Copyright Year | 2010 |
Description | Author affiliation: ElectroScience Lab, The Ohio State University, USA (Zhen Peng; Jin-Fa Lee) |
Abstract | Non-overlapping domain decomposition methods (DDMs) have been shown to provide efficient iterative algorithm for the finite element (FE) solution of the time-harmonic electromagnetic wave problems [1–4]. It is well known that the convergence behavior of non-overlapping DD methods is directly related to the transmission conditions (TCs) used to enforce the continuity of tangential fields on the interface between sub-domains. Most often, a $1^{st}$ order complex Robin TC (FOTC) is used. However, by including higher order derivatives in the transverse direction, the convergence of iterative algorithms can be improved. In [3], a new type of SOTC, called SOTC-TE, is shown to considerably improve the convergence w.r.t. FOTC. But, it is only effective in preconditioning one set of problematic eigenvalues. The eigenmodes neglected by the SOTC-TE, namely the transverse magnetic (TM) evanescent modes, present the last impediment to solver convergence. We address these modes by introducing a full second-order TC (SOTC-Full) that includes an additional term with a second-order transverse derivative. An analysis using a simplified problem shows that, the SOTC-Full shifts both TE and TM evanescent eigen-values away from the origin, and does not alter the convergence of the propagating modes when compared to the FOTC. However, when the SOTC-Full is applied to non-conformal DDMs, it is quickly discovered that the performance does not achieve the expected speed-up as in the conformal DDMs. We have found that the root cause of such a defect, it is mainly due to the enlargement of the function space for the auxiliary cement variables on the interfaces, namely the use of the discontinuous curl-conforming basis functions for the auxiliary variables. Consequently, the non-conformal DDMs allow for eigen-modes, whose magnetic fluxes do not satisfy the needed divergence-free condition on the corner edges. To mitigate such a malady, we employ the interior penalty formulation and introduce additional corner penalty term relating to the divergence free constraint for the cement variables. The introduction of the corner edge penalty terms in the IP formulation restores the full benefits of the $2^{nd}$ order TC in the non-conformal DDMs. |
Starting Page | 1 |
Ending Page | 4 |
File Size | 838753 |
Page Count | 4 |
File Format | |
ISBN | 9781424449675 |
ISSN | 15223965 |
DOI | 10.1109/APS.2010.5561922 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2010-07-11 |
Publisher Place | Canada |
Access Restriction | Subscribed |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Convergence Arrays Magnetic domains Eigenvalues and eigenfunctions Maxwell equations Iterative methods Atmospheric modeling |
Content Type | Text |
Resource Type | Article |
National Digital Library of India (NDLI) is a virtual repository of learning resources which is not just a repository with search/browse facilities but provides a host of services for the learner community. It is sponsored and mentored by Ministry of Education, Government of India, through its National Mission on Education through Information and Communication Technology (NMEICT). Filtered and federated searching is employed to facilitate focused searching so that learners can find the right resource with least effort and in minimum time. NDLI provides user group-specific services such as Examination Preparatory for School and College students and job aspirants. Services for Researchers and general learners are also provided. NDLI is designed to hold content of any language and provides interface support for 10 most widely used Indian languages. It is built to provide support for all academic levels including researchers and life-long learners, all disciplines, all popular forms of access devices and differently-abled learners. It is designed to enable people to learn and prepare from best practices from all over the world and to facilitate researchers to perform inter-linked exploration from multiple sources. It is developed, operated and maintained from Indian Institute of Technology Kharagpur.
Learn more about this project from here.
NDLI is a conglomeration of freely available or institutionally contributed or donated or publisher managed contents. Almost all these contents are hosted and accessed from respective sources. The responsibility for authenticity, relevance, completeness, accuracy, reliability and suitability of these contents rests with the respective organization and NDLI has no responsibility or liability for these. Every effort is made to keep the NDLI portal up and running smoothly unless there are some unavoidable technical issues.
Ministry of Education, through its National Mission on Education through Information and Communication Technology (NMEICT), has sponsored and funded the National Digital Library of India (NDLI) project.
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 |
Loading...
|