{"title":"Provably stable local application of Crank-Nicolson time integration to the FDTD method with nonuniform gridding and subgridding","authors":"A. V. Londersele, D. Zutter, D. Ginste","doi":"10.23919/ROPACES.2018.8364206","DOIUrl":null,"url":null,"abstract":"This contribution removes some doubts about the stability issues associated with the local and anisotropic use of Crank-Nicolson (CN) time integration in Finite-Difference Time-Domain (FDTD) simulations with spatial irregularities such as nonuniformity and subgridding. Due to the lack of space, only the most significant steps in the stability analysis are treated here. Intermediate steps as well as numerical examples and implementation details will be provided during the presentation.","PeriodicalId":8207,"journal":{"name":"Applied Computational Electromagnetics Society Journal","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2018-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Computational Electromagnetics Society Journal","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.23919/ROPACES.2018.8364206","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 1
Abstract
This contribution removes some doubts about the stability issues associated with the local and anisotropic use of Crank-Nicolson (CN) time integration in Finite-Difference Time-Domain (FDTD) simulations with spatial irregularities such as nonuniformity and subgridding. Due to the lack of space, only the most significant steps in the stability analysis are treated here. Intermediate steps as well as numerical examples and implementation details will be provided during the presentation.
期刊介绍：
The ACES Journal is devoted to the exchange of information in computational electromagnetics, to the advancement of the state of the art, and to the promotion of related technical activities. A primary objective of the information exchange is the elimination of the need to "re-invent the wheel" to solve a previously solved computational problem in electrical engineering, physics, or related fields of study.
The ACES Journal welcomes original, previously unpublished papers, relating to applied computational electromagnetics. All papers are refereed.
A unique feature of ACES Journal is the publication of unsuccessful efforts in applied computational electromagnetics. Publication of such material provides a means to discuss problem areas in electromagnetic modeling. Manuscripts representing an unsuccessful application or negative result in computational electromagnetics is considered for publication only if a reasonable expectation of success (and a reasonable effort) are reflected.
The technical activities promoted by this publication include code validation, performance analysis, and input/output standardization; code or technique optimization and error minimization; innovations in solution technique or in data input/output; identification of new applications for electromagnetics modeling codes and techniques; integration of computational electromagnetics techniques with new computer architectures; and correlation of computational parameters with physical mechanisms.
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