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Integral Equations in Computational Electromagnetics and Their Implementations- [electronic resource]
Integral Equations in Computational Electromagnetics and Their Implementations- [electronic resource]
상세정보
- 자료유형
- 학위논문파일 국외
- 최종처리일시
- 20240214101649
- ISBN
- 9798380147439
- DDC
- 530
- 저자명
- Baumann, Luke.
- 서명/저자
- Integral Equations in Computational Electromagnetics and Their Implementations - [electronic resource]
- 발행사항
- [S.l.]: : Michigan State University., 2023
- 발행사항
- Ann Arbor : : ProQuest Dissertations & Theses,, 2023
- 형태사항
- 1 online resource(86 p.)
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-02, Section: B.
- 주기사항
- Advisor: Shanker, Balasubramaniam.
- 학위논문주기
- Thesis (Ph.D.)--Michigan State University, 2023.
- 사용제한주기
- This item must not be sold to any third party vendors.
- 초록/해제
- 요약Integral equations in Computational Electromagnetics (CEM) are one branch of a diverse field. There are many methods to solve for electromagnetic scattering and transmission, with boundary integral equations being one of the most efficient. This is due to only needing to discretize the object's surface, leading to smaller, dense systems as opposed to the larger, sparse systems encountered with Finite Element Method (FEM). Combining the boundary integral method with FEM leads to the creatively named Finite Element Boundary Integral (FEBI) method. It can use the more appropriate method as needed for a given region of space. We turn our focus to boundary integral methods and their implementations.The subfield of boundary integral equations comprises many subparts, including formulations, representations, testing, singularity treatment, acceleration techniques, solvers, preconditioning, and others. In this thesis, I will present several new and existing formulations using the same formulation framework, demonstrate how to perform the integrals for analytic and piecewise basis and testing functions, modify acceleration techniques for various integral equations, and present supporting results.The new formulations are well-conditioned, free from traditional breakdowns, and comparable to state-of-the-art formulations. Most of the implementation of all the formulations presented is shared to limit unintended comparisons.
- 일반주제명
- Computational physics.
- 일반주제명
- Electromagnetics.
- 일반주제명
- Computer engineering.
- 일반주제명
- Electrical engineering.
- 키워드
- Fast methods
- 기타저자
- Michigan State University Electrical and Computer Engineering - Doctor of Philosophy
- 기본자료저록
- Dissertations Abstracts International. 85-02B.
- 기본자료저록
- Dissertation Abstract International
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520240214101649
■006m o d
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■020 ▼a9798380147439
■035 ▼a(MiAaPQ)AAI30634120
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aBaumann, Luke.▼0(orcid)0000-0001-8602-3403
■24510▼aIntegral Equations in Computational Electromagnetics and Their Implementations▼h[electronic resource]
■260 ▼a[S.l.]:▼bMichigan State University. ▼c2023
■260 1▼aAnn Arbor :▼bProQuest Dissertations & Theses, ▼c2023
■300 ▼a1 online resource(86 p.)
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-02, Section: B.
■500 ▼aAdvisor: Shanker, Balasubramaniam.
■5021 ▼aThesis (Ph.D.)--Michigan State University, 2023.
■506 ▼aThis item must not be sold to any third party vendors.
■520 ▼aIntegral equations in Computational Electromagnetics (CEM) are one branch of a diverse field. There are many methods to solve for electromagnetic scattering and transmission, with boundary integral equations being one of the most efficient. This is due to only needing to discretize the object's surface, leading to smaller, dense systems as opposed to the larger, sparse systems encountered with Finite Element Method (FEM). Combining the boundary integral method with FEM leads to the creatively named Finite Element Boundary Integral (FEBI) method. It can use the more appropriate method as needed for a given region of space. We turn our focus to boundary integral methods and their implementations.The subfield of boundary integral equations comprises many subparts, including formulations, representations, testing, singularity treatment, acceleration techniques, solvers, preconditioning, and others. In this thesis, I will present several new and existing formulations using the same formulation framework, demonstrate how to perform the integrals for analytic and piecewise basis and testing functions, modify acceleration techniques for various integral equations, and present supporting results.The new formulations are well-conditioned, free from traditional breakdowns, and comparable to state-of-the-art formulations. Most of the implementation of all the formulations presented is shared to limit unintended comparisons.
■590 ▼aSchool code: 0128.
■650 4▼aComputational physics.
■650 4▼aElectromagnetics.
■650 4▼aComputer engineering.
■650 4▼aElectrical engineering.
■653 ▼aComputational Electromagnetics
■653 ▼aFast methods
■653 ▼aIntegral equations
■653 ▼aFinite Element Method
■653 ▼aFinite Element Boundary Integral method
■690 ▼a0216
■690 ▼a0607
■690 ▼a0464
■690 ▼a0544
■71020▼aMichigan State University▼bElectrical and Computer Engineering - Doctor of Philosophy.
■7730 ▼tDissertations Abstracts International▼g85-02B.
■773 ▼tDissertation Abstract International
■790 ▼a0128
■791 ▼aPh.D.
■792 ▼a2023
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16934754▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
■980 ▼a202402▼f2024
