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A Direct Approach at Field Computation Using the FMM Framework

Mahaffey, Joshua Vincent
http://rave.ohiolink.edu/etdc/view?acc_num=osu1330913863

Abstract Details

2012, Master of Science, Ohio State University, Electrical and Computer Engineering.
For many CEM applications, there is a general need for a fast and direct computation of fields from a known, or approximated, set of sources. The framework of fast multipole methods (FMMs) had been introduced as an efficient means for such computations. However, because of the abundant number of publications which present the FMM in the context of surface integral equation solvers, it is often viewed as applicaple only to boundary integral equation methods in CEM. In this thesis, an attempt is made to return to the roots of the FMM as a way of computing a set of fields directly from known or approximated source current representations. In addition to the difficulties associated with the FMM setup, one of the major issues with a direct computation of fields is in regards to treating the singularities which result from a direct application of the integral operators. As a result, a hypersingularity treatment is also introduced in this thesis for dealing with the direct computation of near-field interactions. In order to demonstrate the very practical reasons for developing a code capable of such direct computation of fields, its efficacy in the recently introduced MS-DDM is studied.
Jin-Fa Lee, PhD (Advisor)
Robert Burkholder, PhD (Committee Member)
86 p.
Electromagnetics

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Citations

  • Mahaffey, J. V. (2012). A Direct Approach at Field Computation Using the FMM Framework [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1330913863

    APA Style (7th edition)

  • Mahaffey, Joshua. A Direct Approach at Field Computation Using the FMM Framework. 2012. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1330913863.

    MLA Style (8th edition)

  • Mahaffey, Joshua. "A Direct Approach at Field Computation Using the FMM Framework." Master's thesis, Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1330913863

    Chicago Manual of Style (17th edition)

osu1330913863
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© 2012, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.