서지주요정보
Mapped vector basis functions for electromagnetic integral equations
서명 / 저자 Mapped vector basis functions for electromagnetic integral equations [electronic resource] : Andrew F. Peterson.
저자명 Peterson, Andrew F., 1960-
발행사항 San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool Publishers, c2005.
Online Access http://dx.doi.org/10.2200/S00008ED1V01Y200508CEM001 URL

서지기타정보

서지기타정보
청구기호 537/.01/515
판사항 1st ed.
형태사항 1 electronic text (viii, 115 p. : ill.) : digital file.
총서명 Synthesis lectures on computational electromagnetics = 1932-1716 ; [#1]
언어 영어
일반주기 Part of: Synthesis digital library of engineering and computer science.
Title from PDF t.p. (viewed Oct. 19, 2008).
Series from website.
서지주기 Includes bibliographical references.
내용 1. Introduction -- 1.1. Integral equations -- 1.2. The method of moments -- 2. The surface model -- 2.1. Differential geometry -- 2.2. Mapping from square cells using Lagrangian interpolation polynomials -- 2.3. A specific example : quadratic polynomials mapped from a square reference cell -- 2.4. Mapping from triangular cells via interpolation polynomials -- 2.5. Example : quadratic polynomials mapped from a triangular reference cell -- 2.6. Constraints on node distribution -- 2.7. Hermitian mapping from square cells -- 2.8. Connectivity -- 3. Divergence-conforming basis functions -- 3.1. Characteristics of vector fields and vector basis functions -- 3.2. What does divergence-conforming mean? -- 3.3. History of the use of divergence-conforming basis functions -- 3.4. Basis functions of order p = 0 for a square reference cell -- 3.5. Basis functions of order p = 0 for a triangular reference cell -- 3.6. Nedelec's mixed-order spaces and the EFIE -- 3.7. Higher-order interpolatory functions for square cells -- 3.8. Higher-order interpolatory functions for triangular cells -- 3.9. Higher-order hierarchical functions for square cells -- 3.10. Higher-order hierarchical functions for triangular cells -- 4. Curl-conforming basis functions -- 4.1. What does curl-conforming mean? -- 4.2. History of the use of curl-conforming basis functions -- 4.3. Relation between the divergence-conforming and curl-conforming functions -- 4.4. Basis functions of order p = 0 for a square reference cell -- 4.5. Basis functions of order p = 0 for a triangular reference cell -- 4.6. Higher-order interpolatory functions for square cells -- 4.7. Higher-order interpolatory functions for triangular cells -- 4.8. Higher-order hierarchical functions for square cells -- 4.9. Higher-order hierarchical functions for triangular cells -- 5. Transforming vector basis functions to curved cells -- 5.1. Base vectors and reciprocal base vectors -- 5.2. Jacobian relations -- 5.3. Representation of vector fields -- 5.4. Restriction to surfaces -- 5.5. Curl-conforming basis functions on curvilinear cells -- 5.6. Divergence-conforming basis functions on curvilinear cells -- 5.7. The implementation of vector derivatives -- 5.8. Summary -- 6. Use of divergence-conforming basis functions with the electric field integral equation -- 6.1. Tested form of the EFIE -- 6.2. The subsectional model -- 6.3. Mapped MoM matrix entries -- 6.4. Normalization of divergence-conforming basis functions -- 6.5. Treatment of the singularity of the Green's function -- 6.6. Quadrature rules -- 6.7. Example : scattering cross section of a sphere -- 7. Use of curl-conforming bases with the magnetic field integral equation -- 7.1. Tested form of the MFIE -- 7.2. Entries of the MoM matrix -- 7.3. Mapped MoM matrix entries -- 7.4. Normalization of curl-conforming basis functions -- 7.5. Treatment of the singularity of the Green's function -- 7.6. Results.
주제 Boundary element methods.
Electromagnetism --Mathematical models.
Integral equations --Numerical solutions.
Moments method (Statistics)
ISBN 1598290126 (electronic bk.) , 9781598290127 (electronic bk.)
기타 표준번호 10.2200/S00008ED1V01Y200508CEM001
QR CODE

책소개

전체보기

목차

전체보기

홈으로
닫기