Please wait, while we are loading the content...
Please wait, while we are loading the content...
| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Rui Wang Riley, D.J. Jian-Ming Jin |
| Copyright Year | 2010 |
| Description | Author affiliation: CCEML, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA (Rui Wang; Jian-Ming Jin) || Northrop Grumman Corporation, Albuquerque, NM, 87109 USA (Riley, D.J.) |
| Abstract | The time-domain finite element method (TDFEM) [1, 2] models electromagnetic phenomena by solving the second-order vector wave equation for electric fields expanded with vector edge basis functions. Since the time-step size has a significant effect on the property of the TDFEM system matrix, the actual choice of the time-step size is not only limited by the maximum frequency of interest, but also constrained by the speed of convergence at each time step when an iterative solver is applied to solve the TDFEM system. It is observed that as the time-step size increases, a typical TDFEM system matrix becomes more ill-conditioned, and thus the number of iterations needed to solve such a system at each time step increases drastically. The situation becomes more severe when the geometry of the problem imposes further challenge in the simulation, for example, when very small elements are required in the finite-element discretization or when the disparity in the geometrical size of individual components leads to an extremely nonuniform mesh. In practical applications, these situations are quite common and cannot be avoided. As a result, in the TDFEM analysis the time-step size usually has to be much smaller than required by the temporal sampling rate for achieving certain temporal discretization accuracy. Moreover, when the input signal contains relatively slow-varying components, such a small time-step size will lead to an unacceptably long simulation time for the solutions to respond to the slow-varying signal and finally reach a steady state. In this paper, we apply the tree-cotree splitting (TCS) algorithm [3, 4] to the TDFEM to alleviate the constraint on the time-step size and to improve the convergence of iterative solutions at each time step. Compared with the conventional TDFEM, application of the TCS algorithm maintains the accuracy of the TDFEM solution but significantly reduces the number of iterations per time step for a preconditioned iterative solver to converge when the time-step size becomes relatively large. This desirable feature allows us to adopt a larger time-step size within the requirement of the temporal sampling rate to achieve a faster time-marching with a marginal additional cost. In addition, the proposed formulation effectively suppresses the late-time linear drift or instability, a problem associated with the conventional TDFEM. |
| Starting Page | 1 |
| Ending Page | 4 |
| File Size | 225472 |
| Page Count | 4 |
| File Format | |
| ISBN | 9781424449675 |
| ISSN | 15223965 |
| DOI | 10.1109/APS.2010.5561917 |
| 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 | Finite element methods Electric fields Time domain analysis Convergence Coaxial cables Electric potential Accuracy |
| 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...
|