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Improved-accuracy algorithms for time-domain finite methods in electromagnetics

Wang, Shumin
http://rave.ohiolink.edu/etdc/view?acc_num=osu1061225243

Abstract Details

2003, Doctor of Philosophy, Ohio State University, Electrical Engineering.
Two novel finite-difference time-domai (FDTD) algorithms are proposed to reduce numerical dispersion error. One is to minimize the dispersion error at arbitrary angles. The other is to minimize the maximum dispersion error for all angles. Generic filtering schemes are further developed to improve the performances in broadband simulations. To deal with very large-scale, locally fine problems, the accuracy and stability of FDTD subgridding schemes are numerical studied. A systematic approach is developed to optimize the spatial interpolation coefficients. Unstructured/structured hybrid mesh is further examined as an alternative approach. Composite elements and implicit FDTD method are proposed to facilitate mesh generation and hybridize with Finite-Element Time-Domain (FETD) methods respectively. The stability of FETD/FDTD hybrid methods and the effectiveness of using FDTD as a predictor for FETD, are also examined. Finally, we develop two novel Perfectly Matched Layers (PML) implementations for Alternating-Direction Implicit (ADI) and FETD methods respectively, which exhibit largely reduced reflection errors. In addition, the PML for FETD shows stable late-time behavior in our numerical tests.
Fernando Teixeira (Advisor)
182 p.
Computational electromagnetics; Finite-difference time-domain method; Finite-element time-domain method

Recommended Citations

Citations

  • Wang, S. (2003). Improved-accuracy algorithms for time-domain finite methods in electromagnetics [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1061225243

    APA Style (7th edition)

  • Wang, Shumin. Improved-accuracy algorithms for time-domain finite methods in electromagnetics. 2003. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1061225243.

    MLA Style (8th edition)

  • Wang, Shumin. "Improved-accuracy algorithms for time-domain finite methods in electromagnetics." Doctoral dissertation, Ohio State University, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=osu1061225243

    Chicago Manual of Style (17th edition)

osu1061225243
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© 2003, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.