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Frequency domain hybrid finite element methods for electromagnetics

By: Volakis, John Leonidas 1956-.
Contributor(s): Sertel, Kubilay | Usner, Brian C 1979-.
Material type: materialTypeLabelBookSeries: Synthesis lectures on computational electromagnetics: #10.Publisher: San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool Publishers, c2006Edition: 1st ed.Description: 1 electronic text (viii, 148 p. : ill.) : digital file.ISBN: 1598290819 (electronic bk.); 9781598290813 (electronic bk.); 1598290800 (pbk.); 9781598290806 (pbk.).Uniform titles: Synthesis digital library of engineering and computer science. Subject(s): Antenna arrays | Electromagnetism | Finite element method | Finite elements | Integral equations | Volume integral methods | Hybrid techniques | Numerical methods | Antennas | Radiation | Radar scattering | Electromagnetics | Periodic media | Metamaterials | Design | OptimizationDDC classification: 537.01/5118 Online resources: Abstract with links to resource | Abstract with links to full text Also available in print.
Contents:
1. Introduction -- 1.1. Essentials of computational methods in EM -- 1.2. Parametric geometry fundamentals -- 1.3. Curvilinear finite elements -- 1.4. Overview -- 2. Two-dimensional hybrid FE-BI -- 2.1. The boundary value problem -- 2.2. Surface equivalence and boundary integral equations -- 2.3. Variational formulation -- 2.4. Discretization -- 2.5. Example discretization -- 2.6. 2D scattering applications -- 3. Three-dimensional hybrid FE-BI : formulation and applications -- 3.1. The boundary value problem -- 3.2. Boundary integral equations -- 3.3. The FE-BI variational statement -- 3.4. Discretization -- 3.5. Applications -- 4. Hybrid volume-surface integral equation -- 4.1. Generalized VSIE formulation -- 4.2. Boundary conditions -- 4.3. Variational form of the VSIE -- 4.4. Discretization -- 4.5. Examples -- 5. Periodic structures -- 5.1. Periodic boundary conditions -- 6. Antenna design and optimization using FE-BI methods -- 6.1. Design optimization : overview -- 6.2. Design examples -- 6.3. Comments.
Summary: This book provides a brief overview of the popular Finite Element Method (FEM) and its hybrid versions for electromagnetics with applications to radar scattering, antennas and arrays, guided structures, microwave components, frequency selective surfaces, periodic media, and RF materials characterizations and related topics. It starts by presenting concepts based on Hilbert and Sobolev spaces as well as Curl and Divergence spaces for generating matrices, useful in all engineering simulation methods. It then proceeds to present applications of the finite element and finite element-boundary integral methods for scattering and radiation. Applications to periodic media, metamaterials and bandgap structures are also included. The hybrid volume integral equation method for high contrast dielectrics and is presented for the first time. Another unique feature of the book is the inclusion of design optimization techniques and their integration within commercial numerical analysis packages for shape and material design. To aid the reader with the method's utility, an entire chapter is devoted to two-dimensional problems. The book can be considered as an update on the latest developments since the publication of our earlier book (Finite Element Method for Electromagnetics, IEEE Press, 1998). The latter is certainly complementary companion to this one.
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E books E books PK Kelkar Library, IIT Kanpur
Available EBKE026
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Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Part of: Synthesis digital library of engineering and computer science.

Series from website.

Includes bibliographical references (p. 133-146).

1. Introduction -- 1.1. Essentials of computational methods in EM -- 1.2. Parametric geometry fundamentals -- 1.3. Curvilinear finite elements -- 1.4. Overview -- 2. Two-dimensional hybrid FE-BI -- 2.1. The boundary value problem -- 2.2. Surface equivalence and boundary integral equations -- 2.3. Variational formulation -- 2.4. Discretization -- 2.5. Example discretization -- 2.6. 2D scattering applications -- 3. Three-dimensional hybrid FE-BI : formulation and applications -- 3.1. The boundary value problem -- 3.2. Boundary integral equations -- 3.3. The FE-BI variational statement -- 3.4. Discretization -- 3.5. Applications -- 4. Hybrid volume-surface integral equation -- 4.1. Generalized VSIE formulation -- 4.2. Boundary conditions -- 4.3. Variational form of the VSIE -- 4.4. Discretization -- 4.5. Examples -- 5. Periodic structures -- 5.1. Periodic boundary conditions -- 6. Antenna design and optimization using FE-BI methods -- 6.1. Design optimization : overview -- 6.2. Design examples -- 6.3. Comments.

Abstract freely available; full-text restricted to subscribers or individual document purchasers.

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This book provides a brief overview of the popular Finite Element Method (FEM) and its hybrid versions for electromagnetics with applications to radar scattering, antennas and arrays, guided structures, microwave components, frequency selective surfaces, periodic media, and RF materials characterizations and related topics. It starts by presenting concepts based on Hilbert and Sobolev spaces as well as Curl and Divergence spaces for generating matrices, useful in all engineering simulation methods. It then proceeds to present applications of the finite element and finite element-boundary integral methods for scattering and radiation. Applications to periodic media, metamaterials and bandgap structures are also included. The hybrid volume integral equation method for high contrast dielectrics and is presented for the first time. Another unique feature of the book is the inclusion of design optimization techniques and their integration within commercial numerical analysis packages for shape and material design. To aid the reader with the method's utility, an entire chapter is devoted to two-dimensional problems. The book can be considered as an update on the latest developments since the publication of our earlier book (Finite Element Method for Electromagnetics, IEEE Press, 1998). The latter is certainly complementary companion to this one.

Also available in print.

Title from PDF t.p. (viewed Oct. 19, 2008).

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