자료유형  

 학위논문

Control Number  

0017165165

International Standard Book Number  

9798346830795

Dewey Decimal Classification Number  

620

Main Entry-Personal Name  

Zhang, Boyuan.

Publication, Distribution, etc. (Imprint  

[S.l.] : Purdue University., 2024

Publication, Distribution, etc. (Imprint  

Ann Arbor : ProQuest Dissertations & Theses, 2024

Physical Description  

117 p.

General Note  

Source: Dissertations Abstracts International, Volume: 86-06, Section: B.

General Note  

Advisor: Chew, Weng Cho.

Dissertation Note  

Thesis (Ph.D.)--Purdue University, 2024.

Summary, Etc.  

요약A novel computational electromagnetic (CEM) solver using potential-based formulations and discrete exterior calculus (DEC) is proposed. The proposed solver consists of two parts: the DEC A-Φsolver and the DEC F-Ψsolver. A and Φ are the magnetic vector potential and electric scalar potential of the electromagnetic (EM) field, respectively; F and Ψ are the electric vector potential and magnetic scalar potential, respectively. The two solvers are dual to each other, and most research is carried out with respect to the DEC A-Φsolver.Systematical approach for constructing the DEC A-Φmatrix equations is provided in this thesis, including the construction of incidence matrices, Hodge star operators and different boundary conditions. The DEC A-Φsolver is proved to be broadband stable from DC to optics, while classical CEM solvers suffer from stability issues at low frequencies (also known as the low-frequency breakdown). The proposed solver is ideal for broadband and multi-scale analysis, which is of great importance in modern industryTo empower the proposed solver with the ability to solve industry problems with large number of unknowns, iterative solvers are preferred. The error-minimization mechanism buried in iterative solvers allows user to control the effect of numerical error accumulation to the solution vector. Proper preconditioners are almost always needed to accelerate the convergence of iterative solvers in large scale problems. In this thesis, preconditioning schemes for the proposed solver are studied.In the DEC A-Φsolver, current sources can be applied easily, but it is difficult to implement voltage sources. To incorporate voltage sources in the potential-based solver, the DEC F-Ψsolver is proposed. The DEC A-Φand F-Ψsolvers are dual formulations to each other, and the construction of the F-Ψsolver can be generalized from the A-Φsolver straightforward.

Subject Added Entry-Topical Term  

Silicon.

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Sparsity.

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Radio communications.

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Calculus.

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Construction.

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Partial differential equations.

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Magnetic fields.

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Electric fields.

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Antennas.

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Boundary conditions.

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Dissection.

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Geometry.

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Electrical engineering.

Added Entry-Corporate Name  

Purdue University.

Host Item Entry  

Dissertations Abstracts International. 86-06B.

Electronic Location and Access  

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Control Number  

joongbu:657543